Question: Problem 3: Consider a five-machine-four-buffer serial production line. The MTBF of the machines are: 14.8, 36.1, 123.5, 196.1, 99.0 (in units of minutes). The MTTR

Problem 3: Consider a five-machine-four-buffer serial production line. The MTBF of the machines are: 14.8, 36.1, 123.5, 196.1, 99.0 (in units of minutes). The MTTR are: 2.0, 9.3, 22.2, 22.9, 11.7 (in units of minute). Assume that the uptime and downtime are both exponentially distributed. The processing speeds of the machines are 1, 1.1, 1.05, 1.15, 1 (in units of jobs/min; you need to convert these to processing time per part when using Simul8). The capacities of the buffers are: 20, 30, 15, 10.

(a) Calculate the cycle time (processing time) for each machine based on the processing speeds.

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