Question

2. (50%) Consider a production system having three single machine workstations. Orders arrive to station 1 according to a Poisson process. The job routing matrix is given by 0.4 0.6 0 R0.60 0.4 0 0.1 0.2 Xmar is the maximum throughput that the system can sustain. Each station has ample buffer space and, arrival & service informationstationstation 2 station 3 0.25 3.0 expected job service time 0.5 0 service time coefficient of variation 0 arrival rate of orders to the production system 0.8Xman » Identify the production system's bottle neck workstation. » Determine the cycle time for orders through this production system

Answer 1

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