8. A small manufacturer of circuit boards must process several jobs through thei
ID: 2536635 • Letter: 8
Question
8. A small manufacturer of circuit boards must process several jobs through their facility Three surface-mount machines with similar capabilities are available (Machines A, B and C). Each job is in a batch. An initial allocation of jobs to machines is given below. All times are in seconds. Your manager has asked that the jobs be completed such that you minimize the lateness of the worst job. The manager would like to have all jobs complete in 4 hours a. Schedulc the jobs to meet your manager's expectations. Explain your method b. Each machine requires a full-time operator. A schedule somewhat like the one below, is repeated every four hours. The factory operates three, 8-hour shifts per day, seven days per week. Employees are allowed a minimum of two weekends off in every five weeks, work no more than one shift per day, and no more than five days in a row. Calculate the minimum workforce required for this factory SM Machine time Batch Job number sizeMachine A Machine B Machine C B2401 B7982 B6183 B1184 B9455 B4056 B1847 B6298 B9989 B1910 B3311 B8212 B4813 B7214 3100 4400 72 126 45 110 240 32 32 32 192 64 64 32 64 64 Total time 6000 3800 3800 4300 4300 4300 1800 1200 1200 2900 1000 1000 11300 26200 5600Explanation / Answer
a. As per the given machine time
Machine A= 11300 Seconds
Machine B= 26200 Seconds
Machine C= 5600 Seconds
Total = 43100 Seconds
But manager wants to complete work in 4 hrs=4hrs*60minutes*60 Seconds=14400 Seconds
Therefore as per my schedule total time allocated to machines
A=14400*11300/43100=3776
B=14400*26200/43100=8753
C=14400*5600/43100=1871
b. No.of operating hours = 3shifts*8hrs*7 days*52 weeks=8736 hrs
No.of employee hours = 5weeks*7days=35 days-2 weekends=33 days*7hrs a day*11=2541 hrs
No.of employees=8736/2541=34 employees
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