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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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