A travelling salesman, named Magan Shah plans to visit five cities 1, 2, 3, 4 and 5. The travel time (in hours) between these cities is shown below. To city 1 2 3 4 5 From city 1 x 5 8 4 5 2 5 x 7 4 5 3 8 7 x 8 6 4 4 4 8 x 8 5 5 5 6 8 x How should he schedule his touring plan in order to minimize the total travel time, if he visits each city once a week?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
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A travelling salesman, named Magan Shah plans to visit five cities 1, 2, 3, 4 and 5. The travel time (in hours) between these cities is shown below.

To city

1 2 3 4 5

From city 1 x 5 8 4 5

2 5 x 7 4 5

3 8 7 x 8 6

4 4 4 8 x 8

5 5 5 6 8 x

How should he schedule his touring plan in order to minimize the total travel time, if he visits each city once a week?

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