Operation Research of Mathematical Formulation Hungarian Method Algorithm
Unit 6
Unit 6
Structure
Assignment Problem
6.1. 6.2. 6.3. 6.4.
Introduction Mathematical formulation of the problem Hungarian method algorithm Routing problem 6.4.1. Unbalanced A.P 6.4.2 Infeasible Assignments 6.4.3 Maximization in A.P
6.5. 6.6.
Traveling salesmen problem Summary Terminal Questions Answers to SAQs and TQs
6.1 Introduction The assignment problem is a special case of the transportation problem, where the objective is to minimize the cost or time of completing a number of jobs by a number of persons and Maximize efficiently Revenue, sales etc In other words, when the problem involves the allocation of n different facilities to n different tasks, it is often …show more content…
Sikkim Manipal University
100
Operations Research
Unit 6
a. Subtract it from uncovered elements. b. Add it at the point of intersection of lines. c. Leave the rest as it is. Prepare a New Table. Step 8: Repeat Steps 3 to 7 till number of allocations = Number of rows.
Example 1: Find the optimum assignment so as to minimize the cost. Persons Jobs 1 2 3 4 5 A B C D E 8 4 2 6 1 0 9 5 5 4 3 8 9 2 6 4 3 1 0 3 9 5 8 9 5
Example: Consider the problem of assigning five jobs to five persons. The assignment costs are given as

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