(a) Perform a row and column reduction. (b) Perform any additional steps required to complete the Hungarian Algorithm.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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4
Refer to the allocation table shown below,
which shows the time (in hours) that each
worker will take to complete each job. There
are four workers, W, X, Y and Z, to be
allocated four jobs, A, B, C, D, one to each
worker.
W
X
Y
Z
A
B
C
D
10
15
13
9
13 17
22 19
14
11
16 12
18 14 19 10
(a) Perform a row and column reduction.
(b) Perform any additional steps required to
complete the Hungarian Algorithm.
(c) Draw a bipartite graph of all possible
allocations.
(d) State the optimal allocation.
(e) What is the total time taken to complete
the project?
www.jacp
Transcribed Image Text:4 Refer to the allocation table shown below, which shows the time (in hours) that each worker will take to complete each job. There are four workers, W, X, Y and Z, to be allocated four jobs, A, B, C, D, one to each worker. W X Y Z A B C D 10 15 13 9 13 17 22 19 14 11 16 12 18 14 19 10 (a) Perform a row and column reduction. (b) Perform any additional steps required to complete the Hungarian Algorithm. (c) Draw a bipartite graph of all possible allocations. (d) State the optimal allocation. (e) What is the total time taken to complete the project? www.jacp
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