Question: 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
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 whichever station does the work. Schedulers seek a minimum handling plan that completes all packing within 200 hours (p1) available at the front station and 190 hours (p2) available at the back. Assume that jobs must go entirely to a single packing station.
a. Formulate the problem
b. Solve and interpret the results using GAMS
| JOBS | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | |
| Front (fi) | 21 | 17 | 10 | 30 | 40 | 22 |
| Back (bi) | 13 | 18 | 29 | 24 | 30 | 29 |
| Time (ti) | 44 | 60 | 51 | 80 | 73 | 67 |
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