A work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D, and E. The work center may work on only one job at a time and must complete any job it starts before starting another job. Job A has a processing time of 6 days and is due to the customer in 9 days. Job B has a processing time of 2 days and is due in 16 days. Job C has a processing time of 4 days and is due in 10 days. Job D has a processing time of 3 days and is due in 7 days. Job E has a processing time of 5 days and is due in 12 days. Using the shortest operating time priority rule, what will be the average lateness of these orders?
Fill in the blank(s) with the appropriate word(s).
2.6 days
See Example 22.1, SOT Rule. The jobs will be done in the order of their shortest operating time. Job B, with a processing time of 2 days will be first; Job D with a processing time of 3 days is next; Job C, 4 days, is next; Job E, 5 days, next; and Job A, 6 days, is last. B-D-C-E-A is the proper sequence under the SOT rule. Job B will be completed on day 2 and is due on day 16. Job D will be completed on day 5 and is due on day 7. Job C will be completed on day 9 and is due on day 10. Job E will be completed on day 14 and is due on day 12. Job A will be completed on day 20 and is due on day 9. Jobs B, D, and C will be delivered at or before their due dates. Job E will be 2 days late, and job A will be 11 days late, a total lateness of 13 days of lateness over the five jobs. The average lateness, then, is 13/5 or 2.6 days.
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