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If there are three work centers, Johnson's rules can still be applied if the minimum processing time in the first (and/or the third) work center is not less than the maximum processing time in the second work center. If so, one can create two virtual work center then apply
Johnson's rules like for
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time between the two work centers. The method minimizes the makespan in the case of two work centers. Furthermore, the method finds the shortest makespan in the case of three work centers if additional constraints are met.
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Select the job with the shortest activity time. If that activity time is for the first work center, then schedule the job first. If that activity time is for the second work center then schedule the job last. Break ties
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Heuristic
Scheduling Systems: With Applications to Production Systems and ... - Thomas Morton, David W. Pentico - Google Książki
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The next smallest time after that is located in Job E (2.8 hours). Since the time is in Work Center B, schedule this job last.
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time at the second work center (from waiting for the job to be finished at the first work center), job splitting may be used.
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So, the jobs must be processed in the order C → A → D → E → B, and must be processed in the same order on both work centers.
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The next smallest time after is located in Job A (3.2 hours). Since the time is in Work Center A, schedule this job first.
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The next smallest time is located in Job C (2.2 hours). Since the time is in Work Center A, schedule this job first.
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Each of five jobs needs to go through work center A and B. Find the optimum sequence of jobs using
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The smallest time is located in Job B (1.5 hours). Since the time is in Work Center B, schedule this job last.
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Repeat steps 2 and 3, working towards the center of the job schedule until all jobs have been scheduled.
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All jobs must be processed in the first work center before going through the second work center.
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404:"Optimal Two- and Three-Stage Production Schedules With Set-up Time Included"
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The time for each job must be invariant with respect to when it is done.
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is a method of scheduling jobs in two work centers. Its
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Eliminate the shortest job from further consideration.
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446:Morton, Thomas; Pentico, David W. (2001-07-20).
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335:Eliminate Job A from further consideration.
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136:Johnson's rule is as follows:
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166:the two work center case.
484:, McGraw-Hill/Irwin, 2007
402:Johnson, S. M. (1954).
423:10.1002/nav.3800010110
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103:Algorithm
63:July 2019
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170:Example
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