Q1) Four workers are to be assigned for 4 different jobs on the basis of the worker's relative skill levels on the various machines. Four Jobs are available, so assign one job to worker. In order to maximize profitability, we wish to minimize the total cost of the assignment. Use the cost matrix given in the following, and the Hungarian assignment algorithm, to determine the optimal assignment of workers to machines, and give the cost of the optimal assignment. J1 J2 J3 J4 W1 8 26 17 11
Q1) Four workers are to be assigned for 4 different jobs on the basis of the worker's relative skill levels on the various machines. Four Jobs are available, so assign one job to worker. In order to maximize profitability, we wish to minimize the total cost of the assignment. Use the cost matrix given in the following, and the Hungarian assignment algorithm, to determine the optimal assignment of workers to machines, and give the cost of the optimal assignment. J1 J2 J3 J4 W1 8 26 17 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Q1) Four workers are to be assigned for 4 different jobs on the basis of the
worker's relative skill levels on the various machines. Four Jobs are available,
so assign one job to worker. In order to maximize profitability, we wish to
minimize the total cost of the assignment. Use the cost matrix given in the
following, and the Hungarian assignment algorithm, to determine the optimal
assignment of workers to machines, and give the cost of the optimal
assignment.
J1
J2
J3
J4
W1 8
26
17
11
W2 13
28
26
W3 38
19
18
15
W4 19 26
24 10
4.
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