Question 16.SP.5: Sequencing jobs through two work centers. Use Johnson’s rule...
Sequencing jobs through two work centers. Use Johnson’s rule to obtain the optimum sequence for processing the jobs shown through work centers A and B.
Job | JOB TIMES (hours) | |
Work Center A | Work Center B | |
a | 2.50 | 4.20 |
b | 3.80 | 1.50 |
c | 2.20 | 3.00 |
d | 5.80 | 4.00 |
e | 4.50 | 2.00 |
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a. Identify the smallest time: job b (1.50 hours at work center B). Because the time is for B, schedule this job last.
b. The next smallest time is job e (2.00 hours at B). Schedule job e next to last.
c. Identify the smallest remaining job time: job c (2.20 hours at center A). Since the time is in the A column, schedule job c first. At this point, we have:
c, ________, ________, e, b
d. The smallest time for the remaining jobs is 2.50 hours for job a at center A. Schedule this job after job c. The one remaining job (job d) fills the remaining slot. Thus, we have c-a-d-e-b.
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