Assignment Problem: Meaning, Methods and Variations | Operations Research

general assignment method

After reading this article you will learn about:- 1. Meaning of Assignment Problem 2. Definition of Assignment Problem 3. Mathematical Formulation 4. Hungarian Method 5. Variations.

Meaning of Assignment Problem:

An assignment problem is a particular case of transportation problem where the objective is to assign a number of resources to an equal number of activities so as to minimise total cost or maximize total profit of allocation.

The problem of assignment arises because available resources such as men, machines etc. have varying degrees of efficiency for performing different activities, therefore, cost, profit or loss of performing the different activities is different.

Thus, the problem is “How should the assignments be made so as to optimize the given objective”. Some of the problem where the assignment technique may be useful are assignment of workers to machines, salesman to different sales areas.

Definition of Assignment Problem:

ADVERTISEMENTS:

Suppose there are n jobs to be performed and n persons are available for doing these jobs. Assume that each person can do each job at a term, though with varying degree of efficiency, let c ij be the cost if the i-th person is assigned to the j-th job. The problem is to find an assignment (which job should be assigned to which person one on-one basis) So that the total cost of performing all jobs is minimum, problem of this kind are known as assignment problem.

The assignment problem can be stated in the form of n x n cost matrix C real members as given in the following table:

general assignment method

  • Vittorio Maniezzo 6 ,
  • Marco Antonio Boschetti 6 &
  • Thomas Stützle 7  

Part of the book series: EURO Advanced Tutorials on Operational Research ((EUROATOR))

1258 Accesses

5 Citations

The generalized assignment problem (GAP) asks to assign n clients to m servers in such a way that the assignment cost is minimized, provided that all clients are assigned to a server and that the capacity of each server is not exceeded. It is a problem that appears, by itself or as a subproblem, in a very high number of practical applications and has therefore been intensively studied. We use this problem as a test case example of all algorithms presented in the text. This section reviews the state of the art of research on GAP and shows the application of several mathematical programming techniques on GAP instances.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
  • Durable hardcover edition

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Vectors and matrices are denoted by small bold letters throughout the text, and these definitions depart from the standard for compliance with much of the literature on the GAP. Furthermore, as stated in Sect. 1.1 , remind that all variables in this chapter are indexed from 1, but in the computational traces they will appear as indexed from 0.

In this, and in all algorithms in the text, the input of all GAP instance data is implicit.

Avella P, Boccia M, Vasilyev I (2010) A computational study of exact knapsack separation for the generalized assignment problem. Comput Optim Appl 45(3):543–555

Article   Google Scholar  

Beasley JE (1993) Lagrangian relaxation. In: Reeves CR (ed) Modern heuristic techniques for combinatorial problems. Wiley, New York, pp 243–303

Google Scholar  

Benders JF (1962) Partitioning procedures for solving mixed-variables programming problems. Numer Math 4:280–322

Benders JF, van Nunen JA (1983) A property of assignment type mixed linear programming problems. Oper Res Lett 32:47–52

Boschetti M, Maniezzo V (2009) Benders decomposition, Lagrangean relaxation and metaheuristic design. J Heurist 15:283–312

Bressoud TC, Rastogi R, Smith MA (2003) Optimal configuration for BGP route selection. In: IEEE INFOCOM 2003, twenty-second annual joint conference of the IEEE computer and communications societies, San Francisco, CA, vol 2, pp 916–926

Campbell GM (1999) Cross-utilization of workers whose capabilities differ. Manage Sci 45(5):722–732

Cattrysse DG, Van Wassenhove LN (1992) A survey of algorithms for the generalized assignment problem. Eur J Oper Res 60(3):260–272

Cattrysse DG, Degraeve Z, Tistaert J (1998) Solving the generalised assignment problem using polyhedral results. Eur J Oper Res 108(3):618–628

Chalmet LG, Gelders LF (1976) Lagrangian relaxations for a generalized assignment-type problem. In: Proceedings of the second european congress operations research. North-Holland, Amsterdam, pp 103–109

Chu PC, Beasley JE (1997) A genetic algorithm for the generalised assignment problem. Comput Oper Res 24(1):17–23

Cordeau JF, Gaudioso M, Laporte G, Moccia L (2006) A memetic heuristic for the generalized quadratic assignment problem. INFORMS J Comput 18(4):433–443

Dantzig GB, Wolfe P (1960) Decomposition principle for linear programs. Oper Res 8:101–111

De Farias IR, Johnson EL Jr, Nemhauser GL (2000) A generalized assignment problem with special ordered sets: a polyhedral approach. Math Program Ser A 89:187–203

Dobson G, Nambimadom RS (2001) The batch loading and scheduling problem. Oper Res 49(1):52–65

Drexl A (1991) Scheduling of project networks by job assignment. Manage Sci 37(12):1590–1602

Fisher ML, Jaikumar R (1981) A generalized assignment heuristic for vehicle routing. Networks 11:109–124

Fisher ML, Jaikumar R, Van Wassenhove LN (1986) A multiplier adjustment method for the generalized assignment problem. Manage Sci 32(9):1095–1103

Foulds L, Wilson J (1997) A variation of the generalized assignment problem arising in the New Zealand dairy industry. Ann Oper Research 69:105–114

Garey MR, Johnson DS (1979) Computers and intractability: a guide to the theory of NP-completeness. W. H. Freeman & Co, New York, NY

Gavish B, Pirkul H (1985) Efficient algorithms for solving multiconstraint zero-one knapsack problems to optimality. Math Program 33(1):31–78

Geoffrion AM (1974) Lagrangean relaxation for integer programming. Math Program Stud 2:82–114

Glover F (1965) A multiphase-dual algorithm for the zero-one integer programming problem. Oper Res 13:879–919

Glover F (1968) Surrogate constraints. Oper Res 16:741–749

Glover F (1975) Surrogate constraint duality in mathematical programming. Oper Res 23:434–451

Glover F, Hultz H, Klingman D (1979) Improved computer based planning techniques, part 2. Interfaces 9(4):12–20

Gottlieb ES, Rao MR (1990) Generalized assignment problem. Valid inequalities and facets. Math Program Ser A 46(1):31–52

Greenberg HJ, Pierskalla WP (1970) Surrogate mathematical programming. Oper Res 18:924–939

Guignard M, Kim S (1987) Lagrangean decomposition: a model yielding stronger Lagrangean bounds. Math Program 39:215–228

Harvey NJA, Ladner RE, Lovász L, Tamir T (2006) Semi-matchings for bipartite graphs and load balancing. J Algorith 59(1):53–78

Higgins AJ (1999) Optimizing cane supply decisions within a sugar mill region. J Sched 2:229–244

Jeet V, Kutanoglu E (2007) Lagrangean relaxation guided problem space search heuristic for generalized assignment problems. Eur J Oper Res 182(3):1039–1056

Jörnsten K, Nasberg M (1986) A new Lagrangian relaxation approach to the generalized assignment problem. Eur J Oper Res 27:313–323

Lee CG, Ma Z (2004) The generalized quadratic assignment problem. Tech. Rep. 5, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto

Maniezzo V (2019) Bridging the GAP. Some generalized assignment problem instances. http://astarte.csr.unibo.it/gapdata/gapinstances.html

Martello S, Toth P (1981) An algorithm for the generalized assignment problem. In: Brans J (ed) Operations research ’81. North-Holland, Amsterdam, pp 589–603

Martello S, Toth P (1990) Knapsack problems: algorithms and computer implementations. Wiley, New York, NY

Mazzola JB, Neebe AW (1993) An algorithm for the bottleneck generalized assignment problem. Comput Oper Res 20(4):355–362

Mazzola JB, Neebe AW, Dunn CVR (1989) Production planning of a flexible manufacturing system in a requirements planning environment. Int J Flex Manuf Syst 1:115–142

Mitrović-Minić S, Punnen AP (2008) Very large-scale variable neighborhood search for the generalized assignment problem. J Interdiscipl Math 11(5):653–670

Morales DR, Romeijn HE (2004) The generalized assignment problem and extensions. In: Du D, Pardalos PM (eds) Handbook of combinatorial optimization. Springer, Boston, pp 259–311

Narciso MG, Lorena L (2007) Lagrangean/surrogate relaxation for generalized assignment problems. Eur J Oper Res 182:1039–1056

Nauss RM (2003) Solving the generalized assignment problem: an optimizing and heuristic approach. INFORMS J Comput 15(3):249–266

Nauss RM (2004) The elastic generalized assignment problem. J Oper Res Soc 55:1333–1341

Öncan T (2007) A survey of the generalized assignment problem and its applications. Inf Syst Oper Res 45(3):123–141

Pigatti A, Poggi de Aragao M, Uchoa E (2005) Stabilized branch-and-cut-and-price for the generalized assignment problem. Electron Notes Discr Math 19:389–395

Pirkul H, Gavish B (1986) Computer and database location in distributed computer systems. IEEE Trans Comput 35:583–590

Posta M, Ferland JA, Michelon P (2012) An exact method with variable fixing for solving the generalized assignment problem. Comput Optim Appl 52(3):629–644

Ross GT, Soland RM (1975) A branch and bound algorithm for the generalized assignment problem. Math Program 8(1):91–103

Ruland KS (1999) A model for aeromedical routing and scheduling. Int Trans Oper Res 6:57–73

Sahni S, Gonzalez T (1976) P-complete approximation problems. J ACM 23(3):555–565

Savelsbergh MWP (1997) A branch-and-price algorithm for the generalized assignment problem. Oper Res 45:831–841

Wilson JM (1997) A genetic algorithm for the generalised assignment problem. J Oper Res Soc 48:804–809

Zhang CW, Ong HL (2007) An efficient solution to biobjective generalized assignment problem. Adv Eng Softw 38:50–58

Download references

Author information

Authors and affiliations.

University of Bologna, Cesena, Italy

Vittorio Maniezzo & Marco Antonio Boschetti

Université Libre de Bruxelles, Brussels, Belgium

Thomas Stützle

You can also search for this author in PubMed   Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Maniezzo, V., Boschetti, M.A., Stützle, T. (2021). The Generalized Assignment Problem. In: Matheuristics. EURO Advanced Tutorials on Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-030-70277-9_1

Download citation

DOI : https://doi.org/10.1007/978-3-030-70277-9_1

Published : 10 February 2021

Publisher Name : Springer, Cham

Print ISBN : 978-3-030-70276-2

Online ISBN : 978-3-030-70277-9

eBook Packages : Business and Management Business and Management (R0)

Share this chapter

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Publish with us

Policies and ethics

  • Find a journal
  • Track your research

Your Article Library

Assignment problem in linear programming : introduction and assignment model.

general assignment method

ADVERTISEMENTS:

Assignment problem is a special type of linear programming problem which deals with the allocation of the various resources to the various activities on one to one basis. It does it in such a way that the cost or time involved in the process is minimum and profit or sale is maximum. Though there problems can be solved by simplex method or by transportation method but assignment model gives a simpler approach for these problems.

In a factory, a supervisor may have six workers available and six jobs to fire. He will have to take decision regarding which job should be given to which worker. Problem forms one to one basis. This is an assignment problem.

1. Assignment Model :

Suppose there are n facilitates and n jobs it is clear that in this case, there will be n assignments. Each facility or say worker can perform each job, one at a time. But there should be certain procedure by which assignment should be made so that the profit is maximized or the cost or time is minimized.

job of Work

In the table, Co ij is defined as the cost when j th job is assigned to i th worker. It maybe noted here that this is a special case of transportation problem when the number of rows is equal to number of columns.

Mathematical Formulation:

Any basic feasible solution of an Assignment problem consists (2n – 1) variables of which the (n – 1) variables are zero, n is number of jobs or number of facilities. Due to this high degeneracy, if we solve the problem by usual transportation method, it will be a complex and time consuming work. Thus a separate technique is derived for it. Before going to the absolute method it is very important to formulate the problem.

Suppose x jj is a variable which is defined as

1 if the i th job is assigned to j th machine or facility

0 if the i th job is not assigned to j th machine or facility.

Now as the problem forms one to one basis or one job is to be assigned to one facility or machine.

Assignment Model

The total assignment cost will be given by

clip_image005

The above definition can be developed into mathematical model as follows:

Determine x ij > 0 (i, j = 1,2, 3…n) in order to

Assignment Model

Subjected to constraints

Assignment Model

and x ij is either zero or one.

Method to solve Problem (Hungarian Technique):

Consider the objective function of minimization type. Following steps are involved in solving this Assignment problem,

1. Locate the smallest cost element in each row of the given cost table starting with the first row. Now, this smallest element is subtracted form each element of that row. So, we will be getting at least one zero in each row of this new table.

2. Having constructed the table (as by step-1) take the columns of the table. Starting from first column locate the smallest cost element in each column. Now subtract this smallest element from each element of that column. Having performed the step 1 and step 2, we will be getting at least one zero in each column in the reduced cost table.

3. Now, the assignments are made for the reduced table in following manner.

(i) Rows are examined successively, until the row with exactly single (one) zero is found. Assignment is made to this single zero by putting square □ around it and in the corresponding column, all other zeros are crossed out (x) because these will not be used to make any other assignment in this column. Step is conducted for each row.

(ii) Step 3 (i) in now performed on the columns as follow:- columns are examined successively till a column with exactly one zero is found. Now , assignment is made to this single zero by putting the square around it and at the same time, all other zeros in the corresponding rows are crossed out (x) step is conducted for each column.

(iii) Step 3, (i) and 3 (ii) are repeated till all the zeros are either marked or crossed out. Now, if the number of marked zeros or the assignments made are equal to number of rows or columns, optimum solution has been achieved. There will be exactly single assignment in each or columns without any assignment. In this case, we will go to step 4.

4. At this stage, draw the minimum number of lines (horizontal and vertical) necessary to cover all zeros in the matrix obtained in step 3, Following procedure is adopted:

(iii) Now tick mark all the rows that are not already marked and that have assignment in the marked columns.

(iv) All the steps i.e. (4(i), 4(ii), 4(iii) are repeated until no more rows or columns can be marked.

(v) Now draw straight lines which pass through all the un marked rows and marked columns. It can also be noticed that in an n x n matrix, always less than ‘n’ lines will cover all the zeros if there is no solution among them.

5. In step 4, if the number of lines drawn are equal to n or the number of rows, then it is the optimum solution if not, then go to step 6.

6. Select the smallest element among all the uncovered elements. Now, this element is subtracted from all the uncovered elements and added to the element which lies at the intersection of two lines. This is the matrix for fresh assignments.

7. Repeat the procedure from step (3) until the number of assignments becomes equal to the number of rows or number of columns.

Related Articles:

  • Two Phase Methods of Problem Solving in Linear Programming: First and Second Phase
  • Linear Programming: Applications, Definitions and Problems

No comments yet.

Leave a reply click here to cancel reply..

You must be logged in to post a comment.

web statistics

The Writing Center • University of North Carolina at Chapel Hill

Understanding Assignments

What this handout is about.

The first step in any successful college writing venture is reading the assignment. While this sounds like a simple task, it can be a tough one. This handout will help you unravel your assignment and begin to craft an effective response. Much of the following advice will involve translating typical assignment terms and practices into meaningful clues to the type of writing your instructor expects. See our short video for more tips.

Basic beginnings

Regardless of the assignment, department, or instructor, adopting these two habits will serve you well :

  • Read the assignment carefully as soon as you receive it. Do not put this task off—reading the assignment at the beginning will save you time, stress, and problems later. An assignment can look pretty straightforward at first, particularly if the instructor has provided lots of information. That does not mean it will not take time and effort to complete; you may even have to learn a new skill to complete the assignment.
  • Ask the instructor about anything you do not understand. Do not hesitate to approach your instructor. Instructors would prefer to set you straight before you hand the paper in. That’s also when you will find their feedback most useful.

Assignment formats

Many assignments follow a basic format. Assignments often begin with an overview of the topic, include a central verb or verbs that describe the task, and offer some additional suggestions, questions, or prompts to get you started.

An Overview of Some Kind

The instructor might set the stage with some general discussion of the subject of the assignment, introduce the topic, or remind you of something pertinent that you have discussed in class. For example:

“Throughout history, gerbils have played a key role in politics,” or “In the last few weeks of class, we have focused on the evening wear of the housefly …”

The Task of the Assignment

Pay attention; this part tells you what to do when you write the paper. Look for the key verb or verbs in the sentence. Words like analyze, summarize, or compare direct you to think about your topic in a certain way. Also pay attention to words such as how, what, when, where, and why; these words guide your attention toward specific information. (See the section in this handout titled “Key Terms” for more information.)

“Analyze the effect that gerbils had on the Russian Revolution”, or “Suggest an interpretation of housefly undergarments that differs from Darwin’s.”

Additional Material to Think about

Here you will find some questions to use as springboards as you begin to think about the topic. Instructors usually include these questions as suggestions rather than requirements. Do not feel compelled to answer every question unless the instructor asks you to do so. Pay attention to the order of the questions. Sometimes they suggest the thinking process your instructor imagines you will need to follow to begin thinking about the topic.

“You may wish to consider the differing views held by Communist gerbils vs. Monarchist gerbils, or Can there be such a thing as ‘the housefly garment industry’ or is it just a home-based craft?”

These are the instructor’s comments about writing expectations:

“Be concise”, “Write effectively”, or “Argue furiously.”

Technical Details

These instructions usually indicate format rules or guidelines.

“Your paper must be typed in Palatino font on gray paper and must not exceed 600 pages. It is due on the anniversary of Mao Tse-tung’s death.”

The assignment’s parts may not appear in exactly this order, and each part may be very long or really short. Nonetheless, being aware of this standard pattern can help you understand what your instructor wants you to do.

Interpreting the assignment

Ask yourself a few basic questions as you read and jot down the answers on the assignment sheet:

Why did your instructor ask you to do this particular task?

Who is your audience.

  • What kind of evidence do you need to support your ideas?

What kind of writing style is acceptable?

  • What are the absolute rules of the paper?

Try to look at the question from the point of view of the instructor. Recognize that your instructor has a reason for giving you this assignment and for giving it to you at a particular point in the semester. In every assignment, the instructor has a challenge for you. This challenge could be anything from demonstrating an ability to think clearly to demonstrating an ability to use the library. See the assignment not as a vague suggestion of what to do but as an opportunity to show that you can handle the course material as directed. Paper assignments give you more than a topic to discuss—they ask you to do something with the topic. Keep reminding yourself of that. Be careful to avoid the other extreme as well: do not read more into the assignment than what is there.

Of course, your instructor has given you an assignment so that they will be able to assess your understanding of the course material and give you an appropriate grade. But there is more to it than that. Your instructor has tried to design a learning experience of some kind. Your instructor wants you to think about something in a particular way for a particular reason. If you read the course description at the beginning of your syllabus, review the assigned readings, and consider the assignment itself, you may begin to see the plan, purpose, or approach to the subject matter that your instructor has created for you. If you still aren’t sure of the assignment’s goals, try asking the instructor. For help with this, see our handout on getting feedback .

Given your instructor’s efforts, it helps to answer the question: What is my purpose in completing this assignment? Is it to gather research from a variety of outside sources and present a coherent picture? Is it to take material I have been learning in class and apply it to a new situation? Is it to prove a point one way or another? Key words from the assignment can help you figure this out. Look for key terms in the form of active verbs that tell you what to do.

Key Terms: Finding Those Active Verbs

Here are some common key words and definitions to help you think about assignment terms:

Information words Ask you to demonstrate what you know about the subject, such as who, what, when, where, how, and why.

  • define —give the subject’s meaning (according to someone or something). Sometimes you have to give more than one view on the subject’s meaning
  • describe —provide details about the subject by answering question words (such as who, what, when, where, how, and why); you might also give details related to the five senses (what you see, hear, feel, taste, and smell)
  • explain —give reasons why or examples of how something happened
  • illustrate —give descriptive examples of the subject and show how each is connected with the subject
  • summarize —briefly list the important ideas you learned about the subject
  • trace —outline how something has changed or developed from an earlier time to its current form
  • research —gather material from outside sources about the subject, often with the implication or requirement that you will analyze what you have found

Relation words Ask you to demonstrate how things are connected.

  • compare —show how two or more things are similar (and, sometimes, different)
  • contrast —show how two or more things are dissimilar
  • apply—use details that you’ve been given to demonstrate how an idea, theory, or concept works in a particular situation
  • cause —show how one event or series of events made something else happen
  • relate —show or describe the connections between things

Interpretation words Ask you to defend ideas of your own about the subject. Do not see these words as requesting opinion alone (unless the assignment specifically says so), but as requiring opinion that is supported by concrete evidence. Remember examples, principles, definitions, or concepts from class or research and use them in your interpretation.

  • assess —summarize your opinion of the subject and measure it against something
  • prove, justify —give reasons or examples to demonstrate how or why something is the truth
  • evaluate, respond —state your opinion of the subject as good, bad, or some combination of the two, with examples and reasons
  • support —give reasons or evidence for something you believe (be sure to state clearly what it is that you believe)
  • synthesize —put two or more things together that have not been put together in class or in your readings before; do not just summarize one and then the other and say that they are similar or different—you must provide a reason for putting them together that runs all the way through the paper
  • analyze —determine how individual parts create or relate to the whole, figure out how something works, what it might mean, or why it is important
  • argue —take a side and defend it with evidence against the other side

More Clues to Your Purpose As you read the assignment, think about what the teacher does in class:

  • What kinds of textbooks or coursepack did your instructor choose for the course—ones that provide background information, explain theories or perspectives, or argue a point of view?
  • In lecture, does your instructor ask your opinion, try to prove their point of view, or use keywords that show up again in the assignment?
  • What kinds of assignments are typical in this discipline? Social science classes often expect more research. Humanities classes thrive on interpretation and analysis.
  • How do the assignments, readings, and lectures work together in the course? Instructors spend time designing courses, sometimes even arguing with their peers about the most effective course materials. Figuring out the overall design to the course will help you understand what each assignment is meant to achieve.

Now, what about your reader? Most undergraduates think of their audience as the instructor. True, your instructor is a good person to keep in mind as you write. But for the purposes of a good paper, think of your audience as someone like your roommate: smart enough to understand a clear, logical argument, but not someone who already knows exactly what is going on in your particular paper. Remember, even if the instructor knows everything there is to know about your paper topic, they still have to read your paper and assess your understanding. In other words, teach the material to your reader.

Aiming a paper at your audience happens in two ways: you make decisions about the tone and the level of information you want to convey.

  • Tone means the “voice” of your paper. Should you be chatty, formal, or objective? Usually you will find some happy medium—you do not want to alienate your reader by sounding condescending or superior, but you do not want to, um, like, totally wig on the man, you know? Eschew ostentatious erudition: some students think the way to sound academic is to use big words. Be careful—you can sound ridiculous, especially if you use the wrong big words.
  • The level of information you use depends on who you think your audience is. If you imagine your audience as your instructor and they already know everything you have to say, you may find yourself leaving out key information that can cause your argument to be unconvincing and illogical. But you do not have to explain every single word or issue. If you are telling your roommate what happened on your favorite science fiction TV show last night, you do not say, “First a dark-haired white man of average height, wearing a suit and carrying a flashlight, walked into the room. Then a purple alien with fifteen arms and at least three eyes turned around. Then the man smiled slightly. In the background, you could hear a clock ticking. The room was fairly dark and had at least two windows that I saw.” You also do not say, “This guy found some aliens. The end.” Find some balance of useful details that support your main point.

You’ll find a much more detailed discussion of these concepts in our handout on audience .

The Grim Truth

With a few exceptions (including some lab and ethnography reports), you are probably being asked to make an argument. You must convince your audience. It is easy to forget this aim when you are researching and writing; as you become involved in your subject matter, you may become enmeshed in the details and focus on learning or simply telling the information you have found. You need to do more than just repeat what you have read. Your writing should have a point, and you should be able to say it in a sentence. Sometimes instructors call this sentence a “thesis” or a “claim.”

So, if your instructor tells you to write about some aspect of oral hygiene, you do not want to just list: “First, you brush your teeth with a soft brush and some peanut butter. Then, you floss with unwaxed, bologna-flavored string. Finally, gargle with bourbon.” Instead, you could say, “Of all the oral cleaning methods, sandblasting removes the most plaque. Therefore it should be recommended by the American Dental Association.” Or, “From an aesthetic perspective, moldy teeth can be quite charming. However, their joys are short-lived.”

Convincing the reader of your argument is the goal of academic writing. It doesn’t have to say “argument” anywhere in the assignment for you to need one. Look at the assignment and think about what kind of argument you could make about it instead of just seeing it as a checklist of information you have to present. For help with understanding the role of argument in academic writing, see our handout on argument .

What kind of evidence do you need?

There are many kinds of evidence, and what type of evidence will work for your assignment can depend on several factors–the discipline, the parameters of the assignment, and your instructor’s preference. Should you use statistics? Historical examples? Do you need to conduct your own experiment? Can you rely on personal experience? See our handout on evidence for suggestions on how to use evidence appropriately.

Make sure you are clear about this part of the assignment, because your use of evidence will be crucial in writing a successful paper. You are not just learning how to argue; you are learning how to argue with specific types of materials and ideas. Ask your instructor what counts as acceptable evidence. You can also ask a librarian for help. No matter what kind of evidence you use, be sure to cite it correctly—see the UNC Libraries citation tutorial .

You cannot always tell from the assignment just what sort of writing style your instructor expects. The instructor may be really laid back in class but still expect you to sound formal in writing. Or the instructor may be fairly formal in class and ask you to write a reflection paper where you need to use “I” and speak from your own experience.

Try to avoid false associations of a particular field with a style (“art historians like wacky creativity,” or “political scientists are boring and just give facts”) and look instead to the types of readings you have been given in class. No one expects you to write like Plato—just use the readings as a guide for what is standard or preferable to your instructor. When in doubt, ask your instructor about the level of formality they expect.

No matter what field you are writing for or what facts you are including, if you do not write so that your reader can understand your main idea, you have wasted your time. So make clarity your main goal. For specific help with style, see our handout on style .

Technical details about the assignment

The technical information you are given in an assignment always seems like the easy part. This section can actually give you lots of little hints about approaching the task. Find out if elements such as page length and citation format (see the UNC Libraries citation tutorial ) are negotiable. Some professors do not have strong preferences as long as you are consistent and fully answer the assignment. Some professors are very specific and will deduct big points for deviations.

Usually, the page length tells you something important: The instructor thinks the size of the paper is appropriate to the assignment’s parameters. In plain English, your instructor is telling you how many pages it should take for you to answer the question as fully as you are expected to. So if an assignment is two pages long, you cannot pad your paper with examples or reword your main idea several times. Hit your one point early, defend it with the clearest example, and finish quickly. If an assignment is ten pages long, you can be more complex in your main points and examples—and if you can only produce five pages for that assignment, you need to see someone for help—as soon as possible.

Tricks that don’t work

Your instructors are not fooled when you:

  • spend more time on the cover page than the essay —graphics, cool binders, and cute titles are no replacement for a well-written paper.
  • use huge fonts, wide margins, or extra spacing to pad the page length —these tricks are immediately obvious to the eye. Most instructors use the same word processor you do. They know what’s possible. Such tactics are especially damning when the instructor has a stack of 60 papers to grade and yours is the only one that low-flying airplane pilots could read.
  • use a paper from another class that covered “sort of similar” material . Again, the instructor has a particular task for you to fulfill in the assignment that usually relates to course material and lectures. Your other paper may not cover this material, and turning in the same paper for more than one course may constitute an Honor Code violation . Ask the instructor—it can’t hurt.
  • get all wacky and “creative” before you answer the question . Showing that you are able to think beyond the boundaries of a simple assignment can be good, but you must do what the assignment calls for first. Again, check with your instructor. A humorous tone can be refreshing for someone grading a stack of papers, but it will not get you a good grade if you have not fulfilled the task.

Critical reading of assignments leads to skills in other types of reading and writing. If you get good at figuring out what the real goals of assignments are, you are going to be better at understanding the goals of all of your classes and fields of study.

You may reproduce it for non-commercial use if you use the entire handout and attribute the source: The Writing Center, University of North Carolina at Chapel Hill

Make a Gift

  • Search Search Please fill out this field.
  • Business Essentials

Assignment Method: Examples of How Resources Are Allocated

general assignment method

What Is the Assignment Method?

The assignment method is a way of allocating organizational resources in which each resource is assigned to a particular task. The resource could be monetary, personnel , or technological.

Understanding the Assignment Method

The assignment method is used to determine what resources are assigned to which department, machine, or center of operation in the production process. The goal is to assign resources in such a way to enhance production efficiency, control costs, and maximize profits.

The assignment method has various applications in maximizing resources, including:

  • Allocating the proper number of employees to a machine or task
  • Allocating a machine or a manufacturing plant and the number of jobs that a given machine or factory can produce
  • Assigning a number of salespersons to a given territory or territories
  • Assigning new computers, laptops, and other expensive high-tech devices to the areas that need them the most while lower priority departments would get the older models

Companies can make budgeting decisions using the assignment method since it can help determine the amount of capital or money needed for each area of the company. Allocating money or resources can be done by analyzing the past performance of an employee, project, or department to determine the most efficient approach.

Regardless of the resource being allocated or the task to be accomplished, the goal is to assign resources to maximize the profit produced by the task or project.

Example of Assignment Method

A bank is allocating its sales force to grow its mortgage lending business. The bank has over 50 branches in New York but only ten in Chicago. Each branch has a staff that is used to bring in new clients.

The bank's management team decides to perform an analysis using the assignment method to determine where their newly-hired salespeople should be allocated. Given the past performance results in the Chicago area, the bank has produced fewer new clients than in New York. The fewer new clients are the result of having a small market presence in Chicago.

As a result, the management decides to allocate the new hires to the New York region, where it has a greater market share to maximize new client growth and, ultimately, revenue.

general assignment method

  • Terms of Service
  • Editorial Policy
  • Privacy Policy
  • Your Privacy Choices

Assignment Model | Linear Programming Problem (LPP) | Introduction

What is assignment model.

→ Assignment model is a special application of Linear Programming Problem (LPP) , in which the main objective is to assign the work or task to a group of individuals such that;

i) There is only one assignment.

ii) All the assignments should be done in such a way that the overall cost is minimized (or profit is maximized, incase of maximization).

→ In assignment problem, the cost of performing each task by each individual is known. → It is desired to find out the best assignments, such that overall cost of assigning the work is minimized.

For example:

Suppose there are 'n' tasks, which are required to be performed using 'n' resources.

The cost of performing each task by each resource is also known (shown in cells of matrix)

Fig 1-assigment model intro

  • In the above asignment problem, we have to provide assignments such that there is one to one assignments and the overall cost is minimized.

How Assignment Problem is related to LPP? OR Write mathematical formulation of Assignment Model.

→ Assignment Model is a special application of Linear Programming (LP).

→ The mathematical formulation for Assignment Model is given below:

→ Let, C i j \text {C}_{ij} C ij ​ denotes the cost of resources 'i' to the task 'j' ; such that

general assignment method

→ Now assignment problems are of the Minimization type. So, our objective function is to minimize the overall cost.

→ Subjected to constraint;

(i) For all j t h j^{th} j t h task, only one i t h i^{th} i t h resource is possible:

(ii) For all i t h i^{th} i t h resource, there is only one j t h j^{th} j t h task possible;

(iii) x i j x_{ij} x ij ​ is '0' or '1'.

Types of Assignment Problem:

(i) balanced assignment problem.

  • It consist of a suqare matrix (n x n).
  • Number of rows = Number of columns

(ii) Unbalanced Assignment Problem

  • It consist of a Non-square matrix.
  • Number of rows ≠ \not=  = Number of columns

Methods to solve Assignment Model:

(i) integer programming method:.

In assignment problem, either allocation is done to the cell or not.

So this can be formulated using 0 or 1 integer.

While using this method, we will have n x n decision varables, and n+n equalities.

So even for 4 x 4 matrix problem, it will have 16 decision variables and 8 equalities.

So this method becomes very lengthy and difficult to solve.

(ii) Transportation Methods:

As assignment problem is a special case of transportation problem, it can also be solved using transportation methods.

In transportation methods ( NWCM , LCM & VAM), the total number of allocations will be (m+n-1) and the solution is known as non-degenerated. (For eg: for 3 x 3 matrix, there will be 3+3-1 = 5 allocations)

But, here in assignment problems, the matrix is a square matrix (m=n).

So total allocations should be (n+n-1), i.e. for 3 x 3 matrix, it should be (3+3-1) = 5

But, we know that in 3 x 3 assignment problem, maximum possible possible assignments are 3 only.

So, if are we will use transportation methods, then the solution will be degenerated as it does not satisfy the condition of (m+n-1) allocations.

So, the method becomes lengthy and time consuming.

(iii) Enumeration Method:

It is a simple trail and error type method.

Consider a 3 x 3 assignment problem. Here the assignments are done randomly and the total cost is found out.

For 3 x 3 matrix, the total possible trails are 3! So total 3! = 3 x 2 x 1 = 6 trails are possible.

The assignments which gives minimum cost is selected as optimal solution.

But, such trail and error becomes very difficult and lengthy.

If there are more number of rows and columns, ( For eg: For 6 x 6 matrix, there will be 6! trails. So 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 trails possible) then such methods can't be applied for solving assignments problems.

(iv) Hungarian Method:

It was developed by two mathematicians of Hungary. So, it is known as Hungarian Method.

It is also know as Reduced matrix method or Flood's technique.

There are two main conditions for applying Hungarian Method:

(1) Square Matrix (n x n). (2) Problem should be of minimization type.

Suggested Notes:

Modified Distribution Method (MODI) | Transportation Problem | Transportation Model

Modified Distribution Method (MODI) | Transportation Problem | Transportation Model

Stepping Stone | Transportation Problem | Transportation Model

Stepping Stone | Transportation Problem | Transportation Model

Vogel’s Approximation Method (VAM) | Method to Solve Transportation Problem | Transportation Model

Vogel’s Approximation Method (VAM) | Method to Solve Transportation Problem | Transportation Model

Transportation Model - Introduction

Transportation Model - Introduction

North West Corner Method | Method to Solve Transportation Problem | Transportation Model

North West Corner Method | Method to Solve Transportation Problem | Transportation Model

Least Cost Method | Method to Solve Transportation Problem | Transportation Model

Least Cost Method | Method to Solve Transportation Problem | Transportation Model

Tie in selecting row and column (Vogel's Approximation Method - VAM) | Numerical | Solving Transportation Problem | Transportation Model

Tie in selecting row and column (Vogel's Approximation Method - VAM) | Numerical | Solving Transportation Problem | Transportation Model

Crashing Special Case - Multiple (Parallel) Critical Paths

Crashing Special Case - Multiple (Parallel) Critical Paths

Crashing Special Case - Indirect cost less than Crash Cost

Crashing Special Case - Indirect cost less than Crash Cost

Basics of Program Evaluation and Review Technique (PERT)

Basics of Program Evaluation and Review Technique (PERT)

Numerical on PERT (Program Evaluation and Review Technique)

Numerical on PERT (Program Evaluation and Review Technique)

Network Analysis - Dealing with Network Construction Basics

Network Analysis - Dealing with Network Construction Basics

Construct a project network with predecessor relationship | Operation Research | Numerical

Construct a project network with predecessor relationship | Operation Research | Numerical

Graphical Method | Methods to solve LPP | Linear Programming

Graphical Method | Methods to solve LPP | Linear Programming

Basics of Linear Programming

Basics of Linear Programming

Linear Programming Problem (LPP) Formulation with Numericals

Linear Programming Problem (LPP) Formulation with Numericals

google logo small

All comments that you add will await moderation. We'll publish all comments that are topic related, and adhere to our Code of Conduct .

Want to tell us something privately? Contact Us

Post comment

Education Lessons logo

Education Lessons

Stay in touch, [notes] operation research, [notes] dynamics of machinery, [notes] maths, [notes] science, [notes] computer aided design.

  • Privacy Policy

Research Method

Home » Assignment – Types, Examples and Writing Guide

Assignment – Types, Examples and Writing Guide

Table of Contents

Assignment

Definition:

Assignment is a task given to students by a teacher or professor, usually as a means of assessing their understanding and application of course material. Assignments can take various forms, including essays, research papers, presentations, problem sets, lab reports, and more.

Assignments are typically designed to be completed outside of class time and may require independent research, critical thinking, and analysis. They are often graded and used as a significant component of a student’s overall course grade. The instructions for an assignment usually specify the goals, requirements, and deadlines for completion, and students are expected to meet these criteria to earn a good grade.

History of Assignment

The use of assignments as a tool for teaching and learning has been a part of education for centuries. Following is a brief history of the Assignment.

  • Ancient Times: Assignments such as writing exercises, recitations, and memorization tasks were used to reinforce learning.
  • Medieval Period : Universities began to develop the concept of the assignment, with students completing essays, commentaries, and translations to demonstrate their knowledge and understanding of the subject matter.
  • 19th Century : With the growth of schools and universities, assignments became more widespread and were used to assess student progress and achievement.
  • 20th Century: The rise of distance education and online learning led to the further development of assignments as an integral part of the educational process.
  • Present Day: Assignments continue to be used in a variety of educational settings and are seen as an effective way to promote student learning and assess student achievement. The nature and format of assignments continue to evolve in response to changing educational needs and technological innovations.

Types of Assignment

Here are some of the most common types of assignments:

An essay is a piece of writing that presents an argument, analysis, or interpretation of a topic or question. It usually consists of an introduction, body paragraphs, and a conclusion.

Essay structure:

  • Introduction : introduces the topic and thesis statement
  • Body paragraphs : each paragraph presents a different argument or idea, with evidence and analysis to support it
  • Conclusion : summarizes the key points and reiterates the thesis statement

Research paper

A research paper involves gathering and analyzing information on a particular topic, and presenting the findings in a well-structured, documented paper. It usually involves conducting original research, collecting data, and presenting it in a clear, organized manner.

Research paper structure:

  • Title page : includes the title of the paper, author’s name, date, and institution
  • Abstract : summarizes the paper’s main points and conclusions
  • Introduction : provides background information on the topic and research question
  • Literature review: summarizes previous research on the topic
  • Methodology : explains how the research was conducted
  • Results : presents the findings of the research
  • Discussion : interprets the results and draws conclusions
  • Conclusion : summarizes the key findings and implications

A case study involves analyzing a real-life situation, problem or issue, and presenting a solution or recommendations based on the analysis. It often involves extensive research, data analysis, and critical thinking.

Case study structure:

  • Introduction : introduces the case study and its purpose
  • Background : provides context and background information on the case
  • Analysis : examines the key issues and problems in the case
  • Solution/recommendations: proposes solutions or recommendations based on the analysis
  • Conclusion: Summarize the key points and implications

A lab report is a scientific document that summarizes the results of a laboratory experiment or research project. It typically includes an introduction, methodology, results, discussion, and conclusion.

Lab report structure:

  • Title page : includes the title of the experiment, author’s name, date, and institution
  • Abstract : summarizes the purpose, methodology, and results of the experiment
  • Methods : explains how the experiment was conducted
  • Results : presents the findings of the experiment

Presentation

A presentation involves delivering information, data or findings to an audience, often with the use of visual aids such as slides, charts, or diagrams. It requires clear communication skills, good organization, and effective use of technology.

Presentation structure:

  • Introduction : introduces the topic and purpose of the presentation
  • Body : presents the main points, findings, or data, with the help of visual aids
  • Conclusion : summarizes the key points and provides a closing statement

Creative Project

A creative project is an assignment that requires students to produce something original, such as a painting, sculpture, video, or creative writing piece. It allows students to demonstrate their creativity and artistic skills.

Creative project structure:

  • Introduction : introduces the project and its purpose
  • Body : presents the creative work, with explanations or descriptions as needed
  • Conclusion : summarizes the key elements and reflects on the creative process.

Examples of Assignments

Following are Examples of Assignment templates samples:

Essay template:

I. Introduction

  • Hook: Grab the reader’s attention with a catchy opening sentence.
  • Background: Provide some context or background information on the topic.
  • Thesis statement: State the main argument or point of your essay.

II. Body paragraphs

  • Topic sentence: Introduce the main idea or argument of the paragraph.
  • Evidence: Provide evidence or examples to support your point.
  • Analysis: Explain how the evidence supports your argument.
  • Transition: Use a transition sentence to lead into the next paragraph.

III. Conclusion

  • Restate thesis: Summarize your main argument or point.
  • Review key points: Summarize the main points you made in your essay.
  • Concluding thoughts: End with a final thought or call to action.

Research paper template:

I. Title page

  • Title: Give your paper a descriptive title.
  • Author: Include your name and institutional affiliation.
  • Date: Provide the date the paper was submitted.

II. Abstract

  • Background: Summarize the background and purpose of your research.
  • Methodology: Describe the methods you used to conduct your research.
  • Results: Summarize the main findings of your research.
  • Conclusion: Provide a brief summary of the implications and conclusions of your research.

III. Introduction

  • Background: Provide some background information on the topic.
  • Research question: State your research question or hypothesis.
  • Purpose: Explain the purpose of your research.

IV. Literature review

  • Background: Summarize previous research on the topic.
  • Gaps in research: Identify gaps or areas that need further research.

V. Methodology

  • Participants: Describe the participants in your study.
  • Procedure: Explain the procedure you used to conduct your research.
  • Measures: Describe the measures you used to collect data.

VI. Results

  • Quantitative results: Summarize the quantitative data you collected.
  • Qualitative results: Summarize the qualitative data you collected.

VII. Discussion

  • Interpretation: Interpret the results and explain what they mean.
  • Implications: Discuss the implications of your research.
  • Limitations: Identify any limitations or weaknesses of your research.

VIII. Conclusion

  • Review key points: Summarize the main points you made in your paper.

Case study template:

  • Background: Provide background information on the case.
  • Research question: State the research question or problem you are examining.
  • Purpose: Explain the purpose of the case study.

II. Analysis

  • Problem: Identify the main problem or issue in the case.
  • Factors: Describe the factors that contributed to the problem.
  • Alternative solutions: Describe potential solutions to the problem.

III. Solution/recommendations

  • Proposed solution: Describe the solution you are proposing.
  • Rationale: Explain why this solution is the best one.
  • Implementation: Describe how the solution can be implemented.

IV. Conclusion

  • Summary: Summarize the main points of your case study.

Lab report template:

  • Title: Give your report a descriptive title.
  • Date: Provide the date the report was submitted.
  • Background: Summarize the background and purpose of the experiment.
  • Methodology: Describe the methods you used to conduct the experiment.
  • Results: Summarize the main findings of the experiment.
  • Conclusion: Provide a brief summary of the implications and conclusions
  • Background: Provide some background information on the experiment.
  • Hypothesis: State your hypothesis or research question.
  • Purpose: Explain the purpose of the experiment.

IV. Materials and methods

  • Materials: List the materials and equipment used in the experiment.
  • Procedure: Describe the procedure you followed to conduct the experiment.
  • Data: Present the data you collected in tables or graphs.
  • Analysis: Analyze the data and describe the patterns or trends you observed.

VI. Discussion

  • Implications: Discuss the implications of your findings.
  • Limitations: Identify any limitations or weaknesses of the experiment.

VII. Conclusion

  • Restate hypothesis: Summarize your hypothesis or research question.
  • Review key points: Summarize the main points you made in your report.

Presentation template:

  • Attention grabber: Grab the audience’s attention with a catchy opening.
  • Purpose: Explain the purpose of your presentation.
  • Overview: Provide an overview of what you will cover in your presentation.

II. Main points

  • Main point 1: Present the first main point of your presentation.
  • Supporting details: Provide supporting details or evidence to support your point.
  • Main point 2: Present the second main point of your presentation.
  • Main point 3: Present the third main point of your presentation.
  • Summary: Summarize the main points of your presentation.
  • Call to action: End with a final thought or call to action.

Creative writing template:

  • Setting: Describe the setting of your story.
  • Characters: Introduce the main characters of your story.
  • Rising action: Introduce the conflict or problem in your story.
  • Climax: Present the most intense moment of the story.
  • Falling action: Resolve the conflict or problem in your story.
  • Resolution: Describe how the conflict or problem was resolved.
  • Final thoughts: End with a final thought or reflection on the story.

How to Write Assignment

Here is a general guide on how to write an assignment:

  • Understand the assignment prompt: Before you begin writing, make sure you understand what the assignment requires. Read the prompt carefully and make note of any specific requirements or guidelines.
  • Research and gather information: Depending on the type of assignment, you may need to do research to gather information to support your argument or points. Use credible sources such as academic journals, books, and reputable websites.
  • Organize your ideas : Once you have gathered all the necessary information, organize your ideas into a clear and logical structure. Consider creating an outline or diagram to help you visualize your ideas.
  • Write a draft: Begin writing your assignment using your organized ideas and research. Don’t worry too much about grammar or sentence structure at this point; the goal is to get your thoughts down on paper.
  • Revise and edit: After you have written a draft, revise and edit your work. Make sure your ideas are presented in a clear and concise manner, and that your sentences and paragraphs flow smoothly.
  • Proofread: Finally, proofread your work for spelling, grammar, and punctuation errors. It’s a good idea to have someone else read over your assignment as well to catch any mistakes you may have missed.
  • Submit your assignment : Once you are satisfied with your work, submit your assignment according to the instructions provided by your instructor or professor.

Applications of Assignment

Assignments have many applications across different fields and industries. Here are a few examples:

  • Education : Assignments are a common tool used in education to help students learn and demonstrate their knowledge. They can be used to assess a student’s understanding of a particular topic, to develop critical thinking skills, and to improve writing and research abilities.
  • Business : Assignments can be used in the business world to assess employee skills, to evaluate job performance, and to provide training opportunities. They can also be used to develop business plans, marketing strategies, and financial projections.
  • Journalism : Assignments are often used in journalism to produce news articles, features, and investigative reports. Journalists may be assigned to cover a particular event or topic, or to research and write a story on a specific subject.
  • Research : Assignments can be used in research to collect and analyze data, to conduct experiments, and to present findings in written or oral form. Researchers may be assigned to conduct research on a specific topic, to write a research paper, or to present their findings at a conference or seminar.
  • Government : Assignments can be used in government to develop policy proposals, to conduct research, and to analyze data. Government officials may be assigned to work on a specific project or to conduct research on a particular topic.
  • Non-profit organizations: Assignments can be used in non-profit organizations to develop fundraising strategies, to plan events, and to conduct research. Volunteers may be assigned to work on a specific project or to help with a particular task.

Purpose of Assignment

The purpose of an assignment varies depending on the context in which it is given. However, some common purposes of assignments include:

  • Assessing learning: Assignments are often used to assess a student’s understanding of a particular topic or concept. This allows educators to determine if a student has mastered the material or if they need additional support.
  • Developing skills: Assignments can be used to develop a wide range of skills, such as critical thinking, problem-solving, research, and communication. Assignments that require students to analyze and synthesize information can help to build these skills.
  • Encouraging creativity: Assignments can be designed to encourage students to be creative and think outside the box. This can help to foster innovation and original thinking.
  • Providing feedback : Assignments provide an opportunity for teachers to provide feedback to students on their progress and performance. Feedback can help students to understand where they need to improve and to develop a growth mindset.
  • Meeting learning objectives : Assignments can be designed to help students meet specific learning objectives or outcomes. For example, a writing assignment may be designed to help students improve their writing skills, while a research assignment may be designed to help students develop their research skills.

When to write Assignment

Assignments are typically given by instructors or professors as part of a course or academic program. The timing of when to write an assignment will depend on the specific requirements of the course or program, but in general, assignments should be completed within the timeframe specified by the instructor or program guidelines.

It is important to begin working on assignments as soon as possible to ensure enough time for research, writing, and revisions. Waiting until the last minute can result in rushed work and lower quality output.

It is also important to prioritize assignments based on their due dates and the amount of work required. This will help to manage time effectively and ensure that all assignments are completed on time.

In addition to assignments given by instructors or professors, there may be other situations where writing an assignment is necessary. For example, in the workplace, assignments may be given to complete a specific project or task. In these situations, it is important to establish clear deadlines and expectations to ensure that the assignment is completed on time and to a high standard.

Characteristics of Assignment

Here are some common characteristics of assignments:

  • Purpose : Assignments have a specific purpose, such as assessing knowledge or developing skills. They are designed to help students learn and achieve specific learning objectives.
  • Requirements: Assignments have specific requirements that must be met, such as a word count, format, or specific content. These requirements are usually provided by the instructor or professor.
  • Deadline: Assignments have a specific deadline for completion, which is usually set by the instructor or professor. It is important to meet the deadline to avoid penalties or lower grades.
  • Individual or group work: Assignments can be completed individually or as part of a group. Group assignments may require collaboration and communication with other group members.
  • Feedback : Assignments provide an opportunity for feedback from the instructor or professor. This feedback can help students to identify areas of improvement and to develop their skills.
  • Academic integrity: Assignments require academic integrity, which means that students must submit original work and avoid plagiarism. This includes citing sources properly and following ethical guidelines.
  • Learning outcomes : Assignments are designed to help students achieve specific learning outcomes. These outcomes are usually related to the course objectives and may include developing critical thinking skills, writing abilities, or subject-specific knowledge.

Advantages of Assignment

There are several advantages of assignment, including:

  • Helps in learning: Assignments help students to reinforce their learning and understanding of a particular topic. By completing assignments, students get to apply the concepts learned in class, which helps them to better understand and retain the information.
  • Develops critical thinking skills: Assignments often require students to think critically and analyze information in order to come up with a solution or answer. This helps to develop their critical thinking skills, which are important for success in many areas of life.
  • Encourages creativity: Assignments that require students to create something, such as a piece of writing or a project, can encourage creativity and innovation. This can help students to develop new ideas and perspectives, which can be beneficial in many areas of life.
  • Builds time-management skills: Assignments often come with deadlines, which can help students to develop time-management skills. Learning how to manage time effectively is an important skill that can help students to succeed in many areas of life.
  • Provides feedback: Assignments provide an opportunity for students to receive feedback on their work. This feedback can help students to identify areas where they need to improve and can help them to grow and develop.

Limitations of Assignment

There are also some limitations of assignments that should be considered, including:

  • Limited scope: Assignments are often limited in scope, and may not provide a comprehensive understanding of a particular topic. They may only cover a specific aspect of a topic, and may not provide a full picture of the subject matter.
  • Lack of engagement: Some assignments may not engage students in the learning process, particularly if they are repetitive or not challenging enough. This can lead to a lack of motivation and interest in the subject matter.
  • Time-consuming: Assignments can be time-consuming, particularly if they require a lot of research or writing. This can be a disadvantage for students who have other commitments, such as work or extracurricular activities.
  • Unreliable assessment: The assessment of assignments can be subjective and may not always accurately reflect a student’s understanding or abilities. The grading may be influenced by factors such as the instructor’s personal biases or the student’s writing style.
  • Lack of feedback : Although assignments can provide feedback, this feedback may not always be detailed or useful. Instructors may not have the time or resources to provide detailed feedback on every assignment, which can limit the value of the feedback that students receive.

About the author

' src=

Muhammad Hassan

Researcher, Academic Writer, Web developer

You may also like

Data collection

Data Collection – Methods Types and Examples

Delimitations

Delimitations in Research – Types, Examples and...

Research Process

Research Process – Steps, Examples and Tips

Research Design

Research Design – Types, Methods and Examples

Institutional Review Board (IRB)

Institutional Review Board – Application Sample...

Evaluating Research

Evaluating Research – Process, Examples and...

Operations Research by

Get full access to Operations Research and 60K+ other titles, with a free 10-day trial of O'Reilly.

There are also live events, courses curated by job role, and more.

Assignment Problem

5.1  introduction.

The assignment problem is one of the special type of transportation problem for which more efficient (less-time consuming) solution method has been devised by KUHN (1956) and FLOOD (1956). The justification of the steps leading to the solution is based on theorems proved by Hungarian mathematicians KONEIG (1950) and EGERVARY (1953), hence the method is named Hungarian.

5.2  GENERAL MODEL OF THE ASSIGNMENT PROBLEM

Consider n jobs and n persons. Assume that each job can be done only by one person and the time a person required for completing the i th job (i = 1,2,...n) by the j th person (j = 1,2,...n) is denoted by a real number C ij . On the whole this model deals with the assignment of n candidates to n jobs ...

Get Operations Research now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Don’t leave empty-handed

Get Mark Richards’s Software Architecture Patterns ebook to better understand how to design components—and how they should interact.

It’s yours, free.

Cover of Software Architecture Patterns

Check it out now on O’Reilly

Dive in for free with a 10-day trial of the O’Reilly learning platform—then explore all the other resources our members count on to build skills and solve problems every day.

general assignment method

  • Bipolar Disorder
  • Therapy Center
  • When To See a Therapist
  • Types of Therapy
  • Best Online Therapy
  • Best Couples Therapy
  • Best Family Therapy
  • Managing Stress
  • Sleep and Dreaming
  • Understanding Emotions
  • Self-Improvement
  • Healthy Relationships
  • Student Resources
  • Personality Types
  • Guided Meditations
  • Verywell Mind Insights
  • 2024 Verywell Mind 25
  • Mental Health in the Classroom
  • Editorial Process
  • Meet Our Review Board
  • Crisis Support

How to Write a Methods Section for a Psychology Paper

Tips and Examples of an APA Methods Section

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

general assignment method

Emily is a board-certified science editor who has worked with top digital publishing brands like Voices for Biodiversity, Study.com, GoodTherapy, Vox, and Verywell.

general assignment method

Verywell / Brianna Gilmartin 

The methods section of an APA format psychology paper provides the methods and procedures used in a research study or experiment . This part of an APA paper is critical because it allows other researchers to see exactly how you conducted your research.

Method refers to the procedure that was used in a research study. It included a precise description of how the experiments were performed and why particular procedures were selected. While the APA technically refers to this section as the 'method section,' it is also often known as a 'methods section.'

The methods section ensures the experiment's reproducibility and the assessment of alternative methods that might produce different results. It also allows researchers to replicate the experiment and judge the study's validity.

This article discusses how to write a methods section for a psychology paper, including important elements to include and tips that can help.

What to Include in a Method Section

So what exactly do you need to include when writing your method section? You should provide detailed information on the following:

  • Research design
  • Participants
  • Participant behavior

The method section should provide enough information to allow other researchers to replicate your experiment or study.

Components of a Method Section

The method section should utilize subheadings to divide up different subsections. These subsections typically include participants, materials, design, and procedure.

Participants 

In this part of the method section, you should describe the participants in your experiment, including who they were (and any unique features that set them apart from the general population), how many there were, and how they were selected. If you utilized random selection to choose your participants, it should be noted here.

For example: "We randomly selected 100 children from elementary schools near the University of Arizona."

At the very minimum, this part of your method section must convey:

  • Basic demographic characteristics of your participants (such as sex, age, ethnicity, or religion)
  • The population from which your participants were drawn
  • Any restrictions on your pool of participants
  • How many participants were assigned to each condition and how they were assigned to each group (i.e., randomly assignment , another selection method, etc.)
  • Why participants took part in your research (i.e., the study was advertised at a college or hospital, they received some type of incentive, etc.)

Information about participants helps other researchers understand how your study was performed, how generalizable the result might be, and allows other researchers to replicate the experiment with other populations to see if they might obtain the same results.

In this part of the method section, you should describe the materials, measures, equipment, or stimuli used in the experiment. This may include:

  • Testing instruments
  • Technical equipment
  • Any psychological assessments that were used
  • Any special equipment that was used

For example: "Two stories from Sullivan et al.'s (1994) second-order false belief attribution tasks were used to assess children's understanding of second-order beliefs."

For standard equipment such as computers, televisions, and videos, you can simply name the device and not provide further explanation.

Specialized equipment should be given greater detail, especially if it is complex or created for a niche purpose. In some instances, such as if you created a special material or apparatus for your study, you might need to include an illustration of the item in the appendix of your paper.

In this part of your method section, describe the type of design used in the experiment. Specify the variables as well as the levels of these variables. Identify:

  • The independent variables
  • Dependent variables
  • Control variables
  • Any extraneous variables that might influence your results.

Also, explain whether your experiment uses a  within-groups  or between-groups design.

For example: "The experiment used a 3x2 between-subjects design. The independent variables were age and understanding of second-order beliefs."

The next part of your method section should detail the procedures used in your experiment. Your procedures should explain:

  • What the participants did
  • How data was collected
  • The order in which steps occurred

For example: "An examiner interviewed children individually at their school in one session that lasted 20 minutes on average. The examiner explained to each child that he or she would be told two short stories and that some questions would be asked after each story. All sessions were videotaped so the data could later be coded."

Keep this subsection concise yet detailed. Explain what you did and how you did it, but do not overwhelm your readers with too much information.

Tips for How to Write a Methods Section

In addition to following the basic structure of an APA method section, there are also certain things you should remember when writing this section of your paper. Consider the following tips when writing this section:

  • Use the past tense : Always write the method section in the past tense.
  • Be descriptive : Provide enough detail that another researcher could replicate your experiment, but focus on brevity. Avoid unnecessary detail that is not relevant to the outcome of the experiment.
  • Use an academic tone : Use formal language and avoid slang or colloquial expressions. Word choice is also important. Refer to the people in your experiment or study as "participants" rather than "subjects."
  • Use APA format : Keep a style guide on hand as you write your method section. The Publication Manual of the American Psychological Association is the official source for APA style.
  • Make connections : Read through each section of your paper for agreement with other sections. If you mention procedures in the method section, these elements should be discussed in the results and discussion sections.
  • Proofread : Check your paper for grammar, spelling, and punctuation errors.. typos, grammar problems, and spelling errors. Although a spell checker is a handy tool, there are some errors only you can catch.

After writing a draft of your method section, be sure to get a second opinion. You can often become too close to your work to see errors or lack of clarity. Take a rough draft of your method section to your university's writing lab for additional assistance.

A Word From Verywell

The method section is one of the most important components of your APA format paper. The goal of your paper should be to clearly detail what you did in your experiment. Provide enough detail that another researcher could replicate your study if they wanted.

Finally, if you are writing your paper for a class or for a specific publication, be sure to keep in mind any specific instructions provided by your instructor or by the journal editor. Your instructor may have certain requirements that you need to follow while writing your method section.

Frequently Asked Questions

While the subsections can vary, the three components that should be included are sections on the participants, the materials, and the procedures.

  • Describe who the participants were in the study and how they were selected.
  • Define and describe the materials that were used including any equipment, tests, or assessments
  • Describe how the data was collected

To write your methods section in APA format, describe your participants, materials, study design, and procedures. Keep this section succinct, and always write in the past tense. The main heading of this section should be labeled "Method" and it should be centered, bolded, and capitalized. Each subheading within this section should be bolded, left-aligned and in title case.

The purpose of the methods section is to describe what you did in your experiment. It should be brief, but include enough detail that someone could replicate your experiment based on this information. Your methods section should detail what you did to answer your research question. Describe how the study was conducted, the study design that was used and why it was chosen, and how you collected the data and analyzed the results.

Erdemir F. How to write a materials and methods section of a scientific article ? Turk J Urol . 2013;39(Suppl 1):10-5. doi:10.5152/tud.2013.047

Kallet RH. How to write the methods section of a research paper . Respir Care . 2004;49(10):1229-32. PMID: 15447808.

American Psychological Association.  Publication Manual of the American Psychological Association  (7th ed.). Washington DC: The American Psychological Association; 2019.

American Psychological Association. APA Style Journal Article Reporting Standards . Published 2020.

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

A general framework for pole assignment algorithms

Ieee account.

  • Change Username/Password
  • Update Address

Purchase Details

  • Payment Options
  • Order History
  • View Purchased Documents

Profile Information

  • Communications Preferences
  • Profession and Education
  • Technical Interests
  • US & Canada: +1 800 678 4333
  • Worldwide: +1 732 981 0060
  • Contact & Support
  • About IEEE Xplore
  • Accessibility
  • Terms of Use
  • Nondiscrimination Policy
  • Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest technical professional organization dedicated to advancing technology for the benefit of humanity. © Copyright 2024 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.

Explore Greyhound Nation

  • Loyola Today
  • Virtual Visits & Info Sessions
  • Request Information

Virtual Field Trips in Science Methods

Screenshot of a web page showing six thumbnail pictures of exhibits with the words 'Let"s Pick an Exhibit to Visit'

In my undergraduate class, Methods of Teaching Science, a routine assignment to plan a field trip for students, quickly turned into something much more once the COVID-19 pandemic hit, and the country shut down. Teachers throughout the country had to get more creative and think outside of the box to continue to make learning fun and interesting while educating virtually. Businesses began to feel the same, so they started to make “virtual visits.” This led to the idea of incorporating a “virtual field trip” into the college level teacher preparation class.

Screen shot of the San Diego Zoo Web site with a picture of the entrance and the words San Diego Zoo

This assignment was started with the instructor before me, I just reformatted it to fit my course. It was a great way for undergraduate teacher candidates to learn how to use technology to make their instruction engaging and fun, all while tying the real world to learning in an authentic manner.

The assignment shared a variety of ways to add in a “virtual” component. Some teacher candidates used webcams that the locations set up while others incorporated videos that toured different facilities and locations. How the virtual visit was presented to students depended on the lesson, activity, location, etc. Some teacher candidates had their “students” taking a self-guided tour through websites while others would “present” to them on a screen in the front of the room, or possibly a “zoom” style guest speaker with someone at the specific location.

Overall, the teacher candidates found this assignment to be challenging, however, very beneficial. They were introduced to another strategy to add to their teaching “toolbox.”

What activities will be offered during a virtual field trip? Would there be a narrator explaining what the user sees or will it just be a visual experience?

This would depend on the location and/or purpose. I had a student who took us to the San Diego Zoo to see animals in their habitats. She shared the webcams from a variety of animal locations throughout the zoo. This student was also thinking ahead, because live webcams show what is happening right then (sometimes the animals are not cooperating) so she had placed videos that the zoo had saved and placed on their websites as backups within her lesson. This way she was sure that her students would be able to see what was needed for learning to occur. Another student took us to the Air and Space Museum. During her lesson, she shared a recorded tour of the museum; picking a few areas for the visit; the ones that matched her purpose/lesson outcome.

In completing this assignment, students learned that there are a vast number of resources readily available to them and that these resources could enhance their lessons. These virtual field trips took us to locations that we otherwise wouldn’t have been able to visit. They learned that adding in this real-world component made their lessons come to life and be more interesting and fun. Some takeaways…they didn’t have to use everything they found about a particular location or everything that that location offered. Some locations have made materials for teachers to use with students virtually, and while these are extremely helpful, they weren’t necessarily needed; especially if the objective/outcome my students were working towards didn’t match that of the lesson/activity the location created.

How did this assignment help enhance everyday instruction?

My students quickly learned that they could enhance many of their lessons with what they learned from this assignment. They could use these “field trips”, or parts of them, for a variety of purposes; at the beginning of their lessons to get the students excited and engaged in a certain topic, during their instruction to bring the topic to life, and even at the end as a way to enhance or extend the students learning and take it to another level.

Which location was the students’ favorite place to plan and visit?

Good question. I'm not sure, but if I had to pick one, I would say riding the roller coaster at Disney World and then discussing the physics behind roller coasters.

Any future plans with this assignment?

I do plan on using this assignment again this semester. I feel this assignment is beneficial and an activity that they will remember and want to take into their own classrooms one day.  One day we may test-pilot these with students. Originally, last semester, we were going to use them with our field experience class of students; however, it didn’t play out (COVID interfered). Maybe one day!

Bias of WOIO 19

AllSides

  • Balanced News
  • Story of the Week
  • News Curation Principles
  • Newsletters
  • Balanced Search

Cleveland Guardians OF Steven Kwan begins rehab assignment with Lake County Captains

general assignment method

EASTLAKE, Ohio (WOIO) - Steven Kwan begins his rehab assignment Saturday evening with the Lake County Captains, the High-A Affiliate for the Cleveland Guardians. The Guardians placed Kwan on the injured list with a strained hamstring on May 5. Kwan led the American League with a .335 batting average and 47 hits prior to his injury. Kwan will play for the Captains in their May 25 and May 26 games against the West Michigan Whitecaps, the High-A Affiliate team for the Detroit Tigers. The Guardians have been red-hot in Kwan’s...

AllSides Media Bias Rating: Center

Related Coverage

general assignment method

AllSides Picks

general assignment method

May 25th, 2024

general assignment method

May 24th, 2024

general assignment method

May 23rd, 2024

general assignment method

AllSides Staff

More News about General News from the Left , Center and Right

From the left, from the center, from the right.

general assignment method

  • Election 2024
  • Entertainment
  • Newsletters
  • Photography
  • Personal Finance
  • AP Investigations
  • AP Buyline Personal Finance
  • AP Buyline Shopping
  • Press Releases
  • Israel-Hamas War
  • Russia-Ukraine War
  • Global elections
  • Asia Pacific
  • Latin America
  • Middle East
  • Election Results
  • Delegate Tracker
  • AP & Elections
  • Auto Racing
  • 2024 Paris Olympic Games
  • Movie reviews
  • Book reviews
  • Personal finance
  • Financial Markets
  • Business Highlights
  • Financial wellness
  • Artificial Intelligence
  • Social Media

Supreme Court sides with the Consumer Financial Protection Bureau, spurning a conservative attack

FILE - The U.S. Supreme Court is seen, April 25, 2024, in Washington. (AP Photo/Mariam Zuhaib)

FILE - The U.S. Supreme Court is seen, April 25, 2024, in Washington. (AP Photo/Mariam Zuhaib)

FILE - The U.S. Supreme Court is seen, April 25, 2024, in Washington. (AP Photo/Mariam Zuhaib, File)

FILE - Sen. Elizabeth Warren D-Mass., speaks to reporters outside the U.S. Capitol, April 23, 2024, in Washington. Consumer groups are praising the Supreme Court’s rejection of a conservative-led attack that could’ve undermined the Consumer Financial Protection Bureau. The justices ruled Thursday the way the bureau is funded does not violate the Constitution. The bureau was the brainchild of Democratic Sen. Elizabeth Warren of Massachusetts and was created after the 2008 financial crisis to regulate consumer finance including mortgages and car loans. (AP Photo/Mariam Zuhaib, File)

  • Copy Link copied

WASHINGTON (AP) — The Supreme Court on Thursday rejected a conservative-led attack that could have undermined the Consumer Financial Protection Bureau.

The justices ruled 7-2 that the way the CFPB is funded does not violate the Constitution, reversing a lower court and drawing praises from consumers. Justice Clarence Thomas wrote the majority opinion, splitting with his frequent allies, Justices Samuel Alito and Neil Gorsuch, who dissented.

The CFPB was created after the 2008 financial crisis to regulate mortgages, car loans and other consumer finance. The case was brought by payday lenders who object to a bureau rule that limits their ability to withdraw funds directly from borrowers’ bank accounts. It’s among several major challenges to federal regulatory agencies on the docket this term for a court that has for more than a decade been open to limits on their operations.

The CFPB, the brainchild of Democratic Sen. Elizabeth Warren of Massachusetts, has long been opposed by Republicans and their financial backers. The bureau says it has returned $19 billion to consumers since its creation.

FILE - People carry an "Appeal To Heaven" flag as they gather at Independence Mall to support President Donald Trump during a visit to the National Constitution Center to participate in the ABC News town hall, Sept. 15, 2020, in Philadelphia. Supreme Court Justice Samuel Alito is embroiled in a second flag controversy, this time over the “Appeal to Heaven” flag, a banner that in recent years has come to symbolize Christian nationalism and the false claim that the 2020 presidential election was stolen. The flag was seen outside his New Jersey beach home last summer. (AP Photo/Michael Perez, File)

Outside the Supreme Court following the decision, Warren said, “The Supreme Court followed the law, and the CFPB is here to stay.”

President Joe Biden, a fellow Democrat who has taken steps to strengthen the bureau, called the ruling “an unmistakable win for American consumers.”

Unlike most federal agencies, the consumer bureau does not rely on the annual budget process in Congress. Instead, it is funded directly by the Federal Reserve, with a current annual limit of around $600 million.

The federal appeals court in New Orleans, in a novel ruling, held that the funding violated the Constitution’s appropriations clause because it improperly shields the CFPB from congressional supervision.

Thomas reached back to the earliest days of the Constitution in his majority opinion to note that “the Bureau’s funding mechanism fits comfortably with the First Congress’ appropriations practice.”

In dissent, Alito wrote, “The Court upholds a novel statutory scheme under which the powerful Consumer Financial Protection Bureau (CFPB) may bankroll its own agenda without any congressional control or oversight.”

The CFPB case was argued more than seven months ago , during the first week of the court’s term. Lopsided decisions like Thursday’s 7-2 vote typically don’t take so long, but Alito’s dissent was longer than the majority opinion, and two other justices, Elena Kagan and Ketanji Brown Jackson, wrote separate opinions even though they both were part of the majority.

Consumer groups cheered the decision, as did a bureau spokesman.

“For years, lawbreaking companies and Wall Street lobbyists have been scheming to defund essential consumer protection enforcement,” bureau spokesman Sam Gilford said in a statement. “The Supreme Court has rejected their radical theory that would have devastated the American financial markets. The Court repudiated the arguments of the payday loan lobby and made it clear that the CFPB is here to stay.”

Jesse Van Tol, president and CEO of the National Community Reinvestment Coalition, said the decision upholding the consumer bureau’s funding structure would have positive effects across the U.S. economy.

“It’s always nice to see the courts get something right — especially in this tawdry circumstance where payday loan predators sought to wriggle out of basic oversight using absurd distortions of law and fact,” Van Tol said in a statement.

While the U.S. Chamber of Commerce and some other business interests backed the payday lenders, mortgage bankers and other sectors regulated by the CFPB cautioned the court to avoid a broad ruling that could unsettle the markets.

In 2020, the court decided another CFPB case , ruling that Congress had improperly insulated the head of the bureau from removal. The justices said the director could be replaced by the president at will but allowed the bureau to continue to operate.

This story has been corrected to show the bureau spokesman’s surname is Gilford, not Goldford or Gifford.

Follow the AP’s coverage of the U.S. Supreme Court at https://apnews.com/hub/us-supreme-court .

general assignment method

general assignment method

Council members criticize inspector general for media release of HR misconduct report

ATLANTA - The Atlanta Inspector General's office tells city council members they are being undermined and sometimes ignored by city employees. 

The complaint comes after the inspector general investigated the city's human resources commissioner and concluded that she abused her authority. 

At least two council members were openly upset at the way Inspector General Shannon Manigault has handled this recent investigation involving the Human Resource Commissioner. They say she released the results of her report to the media before giving it to the city council and even the mayor. 

"The office of the inspector general is facing an emergency," Manigault declared. 

Manigault used an unorthodox approach to communicating with city council members recently. 

She used the public comment segment during Monday's Atlanta City Council Meeting to discuss very serious nepotism allegations against Human Resources Commissioner Tarlesha Smith. 

The mayor's office placed the HR Commissioner on Administrative leave last week after the IG's office concluded Smith created a job for her daughter and tried to fire her daughter's supervisor when she tried to act against her. 

At least two council members publicly took issue with Manigault's' methods. 

"Why did you use public comment to bring this to council? I wasn't contacted about their being an emergency of any kind," District 11 Councilwoman Marci Collier questioned. 

"As the governing body of the city, I think we should have been given the report before we saw it on Channels 2, Channel 5 and Channel 11," District 10 Councilwoman Andrea Boone declared. 

It turns out council members were not the only ones in the dark. 

The mayor's office was not notified before the report came out either. 

Council member Boone was even more direct. 

"My hope is that we are not being egotistical, and we are playing with people's lives in the media. If you think that people are doing illegal activity. The FBI can handle all of it. The FBI, the GBI...those are official law enforcement agencies," Boone affirmed. 

The councilwoman said at least seven employees say they are being treated like criminals and feel like they need attorneys. 

Mayor Dickens' office released a statement as well: 

"We have assigned the matter to City Law for an independent investigation, and we are awaiting their recommendations for next steps. As the report indicated, there were several employees that were not interviewed, and we want to ensure we have a comprehensive review of the facts. 

"Immediately, we also requested that City Law develop recommendations and an updated Citywide policy related to immediate family members to ensure there is no conflict of interest in the execution of duties." 

The mayor's office also says additional action against more city employees may be forthcoming. 

Council members criticize inspector general for media release of HR misconduct report

COMMENTS

  1. Generalized Assignment Problem

    Multiple-Resource Generalized Assignment Problem. Proposed by Gavish and Pirkul [], multi-resource generalized assignment problem (MRGAP) is a special case of the multi-resource weighted assignment model that is previously studied by Ross and Zoltners [].In MRGAP a set of tasks has to be assigned to a set of agents in a way that permits assignment of multiple tasks to an agent subject to a set ...

  2. Generalized assignment problem

    In applied mathematics, the maximum generalized assignment problem is a problem in combinatorial optimization.This problem is a generalization of the assignment problem in which both tasks and agents have a size. Moreover, the size of each task might vary from one agent to the other. This problem in its most general form is as follows: There are a number of agents and a number of tasks. Any ...

  3. Assignment Problem: Meaning, Methods and Variations

    After reading this article you will learn about:- 1. Meaning of Assignment Problem 2. Definition of Assignment Problem 3. Mathematical Formulation 4. Hungarian Method 5. Variations. Meaning of Assignment Problem: An assignment problem is a particular case of transportation problem where the objective is to assign a number of resources to an equal number of activities so as to minimise total ...

  4. Assignment problem

    Worked example of assigning tasks to an unequal number of workers using the Hungarian method. The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has a number of agents and a number of tasks.Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent ...

  5. (PDF) Solving the Generalized Assignment Problem: An ...

    Abstract. The classical generalized assignment problem (GAP) may be stated as finding a minimum-cost assignment of tasks to agents such that each task is assigned to exactly one agent and such ...

  6. An Assignment Problem and Its Application in Education Domain ...

    Within the education domain, this review classified the assignment problem into two: timetabling problem and allocation problem. Assignment problem refers to the analysis on how to assign objects to objects in the best possible way (optimal way) [ 2, 3 ]. The two components of assignment problem are the assignments and the objective function.

  7. PDF Chapter 1 The Generalized Assignment Problem

    6 1 The Generalized Assignment Problem Table 1.1 The search space of instance example3x8 • The number of solutions is 224 = 16777216, by making use of formulation (GAP). • The number of solutions feasible for the assignments only is 38 = 6561. • The number of feasible solutions is 110, as determined by an exhaustive scan of all

  8. A Study of Team Recommended Generalized Assignment Methods

    The second is the result in the generalized assignment method (whose basic feature is that the model structure or solution method is similar to the assignment problem). ... However, the solution of TRGAM becomes an NP-hard problem, and identifying a suitable method to construct a solution method with certain general significance is another key ...

  9. What is Assignment Problem

    Assignment Problem is a special type of linear programming problem where the objective is to minimise the cost or time of completing a number of jobs by a number of persons. The assignment problem in the general form can be stated as follows: "Given n facilities, n jobs and the effectiveness of each facility for each job, the problem is to ...

  10. PDF The Assignment Problem and Primal-Dual Algorithms

    The assignment problem is related to another problem, the maximum cardinality bipartite matching problem. In the maximum cardinality bipartite matching problem, you are given a bipartite graph ... Hungarian algorithm in a much more general way: 1. We maintain a feasible dual solution. We let u i be the amount subtracted from row iand v j is the ...

  11. Assignment Problem in Linear Programming : Introduction and Assignment

    Assignment problem is a special type of linear programming problem which deals with the allocation of the various resources to the various activities on one to one basis. It does it in such a way that the cost or time involved in the process is minimum and profit or sale is maximum. Though there problems can be solved by simplex method or by ...

  12. Understanding Assignments

    What this handout is about. The first step in any successful college writing venture is reading the assignment. While this sounds like a simple task, it can be a tough one. This handout will help you unravel your assignment and begin to craft an effective response. Much of the following advice will involve translating typical assignment terms ...

  13. Assignment Method: Examples of How Resources Are Allocated

    Assignment Method: A method of allocating organizational resources. The assignment method is used to determine what resources are assigned to which department, machine or center of operation in ...

  14. Assignment Method

    Assignment Method Explained. The assignment method in operation research is a strategy for allocating organizational resources to tasks to increase profit via efficiency gains, cost reductions, and improved handling of operations that might create bottlenecks.It is an operations management tool that, by allocating jobs to the appropriate individual, minimizes expenses, time, and effort.

  15. Assignment Model

    There are two main conditions for applying Hungarian Method: (1) Square Matrix (n x n). (2) Problem should be of minimization type. Assignment model is a special application of Linear Programming Problem (LPP), in which the main objective is to assign the work or task to a group of individuals such that; i) There is only one assignment.

  16. A new general method for assigning frequencies with low spillover

    Baddou et al. 18 propose a new partial eigenstructure assignment method, which can be used in cases where other methods are not applicable, especially those present by Benzaouia. 19 Liu et al. 20 propose a method to solve the eigenvalue assignment problem of the output feedback part of the undamped structural system with the output matrix as ...

  17. Random Assignment in Experiments

    Random Assignment in Experiments | Introduction & Examples. Published on March 8, 2021 by Pritha Bhandari.Revised on June 22, 2023. In experimental research, random assignment is a way of placing participants from your sample into different treatment groups using randomization. With simple random assignment, every member of the sample has a known or equal chance of being placed in a control ...

  18. Assignment

    Assignment is a task given to students by a teacher or professor, usually as a means of assessing their understanding and application of course material. Assignments can take various forms, including essays, research papers, presentations, problem sets, lab reports, and more. Assignments are typically designed to be completed outside of class ...

  19. Chapter 5: Assignment Problem

    The assignment problem is one of the special type of transportation problem for which more efficient (less-time consuming) solution method has been devised by KUHN (1956) and FLOOD (1956). The justification of the steps leading to the solution is based on theorems proved by Hungarian mathematicians KONEIG (1950) and EGERVARY (1953), hence the ...

  20. How to Write a Methods Section of an APA Paper

    To write your methods section in APA format, describe your participants, materials, study design, and procedures. Keep this section succinct, and always write in the past tense. The main heading of this section should be labeled "Method" and it should be centered, bolded, and capitalized. Each subheading within this section should be bolded ...

  21. Research Methods

    You can also take a mixed methods approach, where you use both qualitative and quantitative research methods.. Primary vs. secondary research. Primary research is any original data that you collect yourself for the purposes of answering your research question (e.g. through surveys, observations and experiments). Secondary research is data that has already been collected by other researchers (e ...

  22. A general framework for pole assignment algorithms

    The problem of pole assignment by gain output feedback or by low-order dynamical compensator is considered from a geometrical point of view. This allows unification of a general framework for most of the existing pole assignment methods formulated in a state-space context, such as the minimal-order observers, the F.M. Brasch and J.B. Pearson (1970) compensator, the methods proposed by H ...

  23. Virtual Field Trips in Science Methods

    In Melissa Gilroy's undergraduate class, Methods of Teaching Science, a routine assignment to plan a field trip for students, quickly turned into something much more once the COVID-19 pandemic hit and the country shut down. This led to the idea of incorporating a "virtual field trip" into the college level teacher preparation class.

  24. New discoveries about the nature of light could improve methods for

    Both literally and figuratively, light pervades the world. It banishes darkness, conveys telecommunications signals between continents and makes visible the invisible, from faraway galaxies to the smallest bacterium.

  25. Cleveland Guardians OF Steven Kwan begins rehab assignment ...

    EASTLAKE, Ohio (WOIO) - Steven Kwan begins his rehab assignment Saturday evening with the Lake County Captains, the High-A Affiliate for the Cleveland Guardians. The Guardians placed Kwan on the injured list with a strained hamstring on May 5. Kwan led the American League with a .335 batting average and 47 hits prior to his injury.

  26. Supreme Court: CFPB funding doesn't violate Constitution

    FILE - Sen. Elizabeth Warren D-Mass., speaks to reporters outside the U.S. Capitol, April 23, 2024, in Washington. Consumer groups are praising the Supreme Court's rejection of a conservative-led attack that could've undermined the Consumer Financial Protection Bureau.

  27. Council members criticize inspector general for media release of ...

    The complaint comes after the inspector general investigated the city's human resources commissioner and concluded that ... At least two council members publicly took issue with Manigault's' methods.