integer programming
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2. A large book publisher has five manuscripts that must be edited as soon as possible. Five editors are available for doing the work, however their working times on the various manuscripts will differ based on their backgrounds and interests. The publisher wants to use an assignment method to determine who does what manuscript. Estimates of editing times (in hours) for each manuscript by each editor is:
Editor
Manuscript A B C D E
1 12 8 10 16 13
2 9 10 14 13 9
3 17 14 9 18 12
4 15 7 11 9 18
5 12 18 22 11 27
a) How many supply-side constraints are needed?
b) How many demand-side constraints are needed?
How many variables are involved in this assignment method?
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Apply integer programming
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Hello!
This is a classic "assignment" problem which can be solved using integer programming.
a) Let's assume that the "supply" are the manuscripts and the "demand" are the editors. Since there are 5 manuscripts, there are 5 supply side constraints. These constraints will ensure that a given manuscript will not be assigned to exactly one ...
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