3. Hungarian Algorithm A relay team consists of four runners, W. X, Y and Z, each of whom runs exactly one part of a race. The average training times (in seconds) for each of the runners for each part of the race is given in the table below. (a) Part of the Race Runner 48 46 50 44 х 49 45 46 49 47 46 48 44 51 48 47 45 Use the Hungarian algorithm to determine the part of the race to which each runner should be assigned in order to minimise the total race time.
3. Hungarian Algorithm A relay team consists of four runners, W. X, Y and Z, each of whom runs exactly one part of a race. The average training times (in seconds) for each of the runners for each part of the race is given in the table below. (a) Part of the Race Runner 48 46 50 44 х 49 45 46 49 47 46 48 44 51 48 47 45 Use the Hungarian algorithm to determine the part of the race to which each runner should be assigned in order to minimise the total race time.
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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
Transcribed Image Text:3. Hungarian Algorithm
A relay team consists of four runners, W. X, Y and Z, each of whom runs exactly one part
of a race. The average training times (in seconds) for each of the runners for each part of
the race is given in the table below.
(a)
Part of the Race
Runner
48
46
50
44
х
49
45
46
49
47
46
48
44
51
48
47
45
Use the Hungarian algorithm to determine the part of the race to which each runner should
be assigned in order to minimise the total race time.
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