Homework_6_solutions

Homework_6_solutions - Network Flow Programming Models 8...

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Network Flow Programming Models 8 Notes: Exercise 6b. Add – Do as many jobs as possible. 6. A company has three workers. On a particular day, six jobs are scheduled to be completed. The cost for each worker to do each job is shown in the matrix below. Using a network flow programming model to answer each part of the problem. Job 1 2 3 4 5 6 A 3 2 2 6 4 6 Worker B 4 3 7 5 3 3 C 9 9 7 9 7 6 a. What is the minimum cost assignment when each worker can do two jobs? b. What is the minimum cost assignment to do any three jobs when each worker can do only one job? c. What is the minimum cost assignment when each worker can do any number of jobs? a. [+1] [+1] [+1] [–1] [–1] [–1] A B C J1 J2 J3 (3) (2) (2) [External Flow] (Cost) The solution has: Assign A to jobs 2 and 3, B to jobs 1 and 5, and C to jobs 4 and 6. Cost 26. b. The solution has: Assign A to jobs 3, B to job 5, and C to job 6. Cost is 11.
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Network Flow Programming Models 9 [+1] [+1] [+1] A B C J1 J2 J3 (3) (2) (2) [External Flow] (Cost) (1, 0) (1, 0) (1, 0) (upper, cost) c. [–1]
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Homework_6_solutions - Network Flow Programming Models 8...

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