Question: A proposed production system consists of five serial automatic workstations. The processing times at workstations are constant: 11, 10, 11, 11, and 12 (all times

A proposed production system consists of five serial automatic workstations. The processing times at workstations are constant: 11, 10, 11, 11, and 12 (all times given in this problem are in minutes). The part interarrival times are UNIF(13,15.1). 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 that 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 8%. Develop the simulation model and make six runs of 10,000 minutes. Note that recently the manager has upgraded the machines so now they can process a batch of three parts instead of one at a time. The machine will not work unless there are three parts accumulated beforehand. After finish processing, the parts will be shipped separately. The manager needs to know whether the upgrading was beneficial or it was only an unrequired, additional cost knowing that the production required per 10,000 minutes is 940 parts.

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