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 slack time remaining priority rule, what will be the average lateness of these orders?
Fill in the blank(s) with the appropriate word(s).
3 days
See Example 22.1, STR Rule. Slack time remaining for Job A = 9 - 6 = 3; Job B, 16 - 2 = 14; Job C, 10 - 4 = 6; Job D, 7 - 3 = 4; Job E, 12 - 5 = 7. Starting with the least slack time, A (3 days) is first, D (4 days) is second, C (6 days) is third, E (7 days) is fourth, and B (14 days) is last. A-D-C-E-B is the preferred sequence using the STR rule. Job A will be delivered on day 6 and is due on day 9; Job D will be delivered on day 9 and is due on day 7; Job C will be delivered on day 13 and is due on day 10; Job E will be delivered on day 18 and is due on day 12 and Job B will be delivered on day 20 and is due on day 16. The total days of lateness will be: Job A, 0 days; Job D, 2 days; Job C, 3 days; Job E, 11 days; and Job B, 4 days. Total lateness is then 0 + 2 + 3 + 6 + 4 = 15 days or an average lateness of 15/5 = 3 days.
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