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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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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