At a machine tool plant, five jobs must be completedeach day. The time it takes to do each job depends on themachine used to do the job. If a machine is used at all, thereis a setup time required. The relevant times are given inTable 20. The company’s goal is to minimize the sum of thesetup and machine operation times needed to complete alljobs. Formulate and solve (with LINDO, LINGO, or ExcelSolver) an IP whose solution will do this. Machine 1 2 3 4 5 Time (Minutes)1 42 70 93 X X 302 X 85 45 X X 403 58 X X 37 X 504 58 X 55 X 38 605 X 60 X 54 X 20

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section8.8: Optimal Permutation Models
Problem 15P
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At a machine tool plant, five jobs must be completed
each day. The time it takes to do each job depends on the
machine used to do the job. If a machine is used at all, there
is a setup time required. The relevant times are given in
Table 20. The company’s goal is to minimize the sum of the
setup and machine operation times needed to complete alljobs. Formulate and solve (with LINDO, LINGO, or Excel
Solver) an IP whose solution will do this.

Machine 1 2 3 4 5 Time (Minutes)
1 42 70 93 X X 30
2 X 85 45 X X 40
3 58 X X 37 X 50
4 58 X 55 X 38 60
5 X 60 X 54 X 20

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