Having performed the step 1 and step 2, we will be getting at least one zero in each column in the reduced cost table. 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.

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. Having constructed the table (as by step-1) take the columns of the table.

(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. 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: (i) Tick mark () all rows that do not have any assignment.

He will have to take decision regarding which job should be given to which worker. 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. It maybe noted here that this is a special case of transportation problem when the number of rows is equal to number of columns.

Consider a facility location problem with four facilities (and four locations).

One possible assignment is shown in the figure below: facility 2 is assigned to location 1, facility 1 is assigned to location 2, facility 4 is assigned to location 3, and facility 4 is assigned to location 3.

## Comments Assignment Problems

## Assignment Problem - an overview ScienceDirect Topics

The Assignment Problem is the graph theory problem of finding a set of disjoint sub-tours such that all the vertices in a graph are visited and the overall cost is minimized.…

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## A Comparative Analysis of Assignment Problem -

Objects to m-other objects in an injective fashion. The assignment problems are a well studied topic in combinatorial optimization. These problems find numerous application in production planning, telecommunication VLSI design, economic etc. The assignment problems is a special case of Transportation problem.…

Assignment Problems and the Location of Economic Activities Created Date 20160807162356Z.…

## Assignment problem - Princeton University Computer Science

Assignment problem successive shortest path algorithm 1 2 1' 2' 10 7 2 P = 2 ! 2' ! 1 ! 1' costP = 2 - 6 + 10 = 6 6 Shortest alternating path. Corresponds to minimum cost s t path in GM. Concern. Edge costs can be negative. Fact. If always choose shortest alternating path, then GM contains no negative cycles % can compute using Bellman-Ford. Our plan.…

## Solve an assignment problem online - Hungarian algorithm

Solve an assignment problem online. Fill in the cost matrix of an assignment problem and click on 'Solve'. The optimal assignment will be determined and a step by step explanation of the hungarian algorithm will be given. Fill in the cost matrix random cost matrix Don't show the steps of the Hungarian algorithm. Maximize the total cost.…

## Hungarian Algorithm for Assignment Problem Set 1.

Hungarian Algorithm for Assignment Problem Set 1 Introduction Example You work as a manager for a chip manufacturer, and you currently have 3 people on the road meeting clients. Your salespeople are in Jaipur, Pune and Bangalore, and you want them to fly to three other cities Delhi, Mumbai and Kerala.…

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The five problem-solving assignment types are the following analytical, informational, argumentative, reflective, and expressive. A student will find that many of the problem-solving assignments intertwine with each other. Analytical Problem-Solving Assignments; Analytical problem-solving assignments involve student’s ability to connect ideas.…

## Assignment problem business

Resulting problem is one of assignment. If resources are divisible, and if both jobs and resources are expressed in units on the same scale, it is termed a transportation or distribution problem. If jobs and resources are not expressed in the same units, it is a general allocation problem.…

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