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4. A warehouse facility has packing stations at both its front and back entrances. The following table shows the number of ton-feet (in thousands) of materials handling that would be required to move each of the 6 pending jobs to either of the 2 stations, along with the number of hours packing that would be required at which- ever station does the work. Job 1 2 3 4 5 6 Front 21 17 10 30 40 22 Back 13 18 29 24 33 29 Time 44 60 51 80 73 67 Schedulers seek a minimum handling plan that completes all packing within the 200 hours available at the front station and 190 hours available at the back. Assume that jobs must go entirely to a single packing station. formulate the problem as a generalized assignment ILP and find the optimal solution.

4. A warehouse facility has packing stations at both its front and back entrances. The following table shows the number of ton-feet (in thousands) of materials handling that would be required to move each of the 6 pending jobs to either of the 2 stations, along with the number of hours packing that would be required at which- ever station does the work. Job 1 2 3 4 5 6 Front 21 17 10 30 40 22 Back 13 18 29 24 33 29 Time 44 60 51 80 73 67 Schedulers seek a minimum handling plan that completes all packing within the 200 hours available at the front station and 190 hours available at the back. Assume that jobs must go entirely to a single packing station. formulate the problem as a generalized assignment ILP and find the optimal solution.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 34P
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4. A warehouse facility has packing stations at both its front and back entrances. The following table shows the number of ton-feet (in thousands) of materials handling that would be required to move each of the 6 pending jobs to either of the 2 stations, along with the number of hours packing that would be required at which- ever station does the work. Job 3 4 5 6 30 40 22 24 33 29 80 73 67 1 2 Front 21 17 10 Back 13 18 29 Time 44 60 51 Schedulers seek a minimum handling plan that completes all packing within the 200 hours available at the front station and 190 hours available at the back. Assume that jobs must go entirely to a single packing station. formulate the problem as a generalized assignment ILP and find the optimal solution.
Transcribed Image Text:4. A warehouse facility has packing stations at both its front and back entrances. The following table shows the number of ton-feet (in thousands) of materials handling that would be required to move each of the 6 pending jobs to either of the 2 stations, along with the number of hours packing that would be required at which- ever station does the work. Job 3 4 5 6 30 40 22 24 33 29 80 73 67 1 2 Front 21 17 10 Back 13 18 29 Time 44 60 51 Schedulers seek a minimum handling plan that completes all packing within the 200 hours available at the front station and 190 hours available at the back. Assume that jobs must go entirely to a single packing station. formulate the problem as a generalized assignment ILP and find the optimal solution.
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