A proposed production system consists of five serial automatic workstations. The
ID: 430150 • Letter: A
Question
A proposed production system consists of five serial automatic workstations. The processing times at each workstations are constant: 11, 10, 11, 11 and 12 (all times given in this problem are in minutes). The part interarrival times are UNIF(13 ,15). There is an unlimited buffer in front of all workstations, and we will assume that all transfer times are negligible or zero. The unique aspect of this system is taht at Workstations 2 through 5 there is a chance that the part will need to be reprocessed by the workstations that precedes it. For example, after completion at Workstation 2, the part can be sent back to the queue in front of Workstation 1. The probability of revisiting a workstation is independent in that the same part could be sent back many times with no change in the probability. At present, it is estimated that this probability, the same for all four workstations, will be between 5% and 10%. Develop the simulation model and make six runs of 10,000 minutes each for probabilities of 5, 6, 7, 8, 9, and 10%.
Explanation / Answer
Category Probability Cumulative Probability minutes
1 0.05 0.05 11
2 0.06 0.11 10
3 0.07 0.18 11
4 0.08 0.26 11
5 0.09 0.35 12
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Simulated DAte
Category Minutes
1 work station 10,000/11 minutes=909 min
2 work station 10,000 /10 minutes=1,000min
3 work station 10,000 / 11 min= 909 min
4 work station 10,000 /11 min=909 min
5 work station 10,000 / 12 min=833 min
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