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6-64. (Job shop scheduling) Three jobs, J1, J2, and J3, are processed on three machines, M1, M2, and M3, according to the following sequences (processing times are shown in parentheses): J1: M3(3) J2: M2(1) - - - M1(4) – M2(6) - M3(5) – M2(9) - - J3: M3(8) – M2(8) – M1(7) The order in which the jobs are processed on the different machines is predetermined as: M1: J1 J2 J3 - - M2: J2 J3 - J1 - M3: J3 J1 J2 - - a. Represent the problem as a CPM network for which the critical path determines the make span of all three jobs. b. Use the critical path calculations to develop the scheduling of the jobs (Gantt chart), assuming that each operation is scheduled at its earliest start time.

6-64. (Job shop scheduling) Three jobs, J1, J2, and J3, are processed on three machines, M1, M2, and M3, according to the following sequences (processing times are shown in parentheses): J1: M3(3) J2: M2(1) - - - M1(4) – M2(6) - M3(5) – M2(9) - - J3: M3(8) – M2(8) – M1(7) The order in which the jobs are processed on the different machines is predetermined as: M1: J1 J2 J3 - - M2: J2 J3 - J1 - M3: J3 J1 J2 - - a. Represent the problem as a CPM network for which the critical path determines the make span of all three jobs. b. Use the critical path calculations to develop the scheduling of the jobs (Gantt chart), assuming that each operation is scheduled at its earliest start time.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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6-64. (Job shop scheduling) Three jobs, J1, J2, and J3, are processed on three machines, M1, M2, and M3, according to the following sequences (processing times are shown in parentheses): J1: M3(3) M1(4) - M2(6) J2: M2(1) M3(5) – M2(9) J3: M3(8) M2(8) – M1(7) The order in which the jobs are processed on the different machines is predetermined as: M1: J1 J2 J3 M2: J2 J3 - J1 M3: J3 J1 - J2 a. Represent the problem as a CPM network for which the critical path determines the make span of all three jobs. b. Use the critical path calculations to develop the scheduling of the jobs (Gantt chart), assuming that each operation is scheduled at its earliest start time.
Transcribed Image Text:6-64. (Job shop scheduling) Three jobs, J1, J2, and J3, are processed on three machines, M1, M2, and M3, according to the following sequences (processing times are shown in parentheses): J1: M3(3) M1(4) - M2(6) J2: M2(1) M3(5) – M2(9) J3: M3(8) M2(8) – M1(7) The order in which the jobs are processed on the different machines is predetermined as: M1: J1 J2 J3 M2: J2 J3 - J1 M3: J3 J1 - J2 a. Represent the problem as a CPM network for which the critical path determines the make span of all three jobs. b. Use the critical path calculations to develop the scheduling of the jobs (Gantt chart), assuming that each operation is scheduled at its earliest start time.
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