# Consider a facility that produces two products in three workstations. Product 1 follows the…

Consider a facility that produces two products in three workstations. Product 1 follows the probabilistic workstation transition matrix given by From/To 1 2 3 1 0.0 0.3 0.5 2 0.2 0.0 0.8 3 0.4 0.5 0.0 while Product 2 has the transition matrix From/To 1 2 3 1 0.0 0.6 0.4 2 0.3 0.0 0.7 3 0.4 0.1 0.0 The workstation processing time distributions are different by product. For Product 1, these data are Workstation # E[Ts] C2 s 1 1.1 hr 1.0 2 1.0 hr 1.5 3 0.6 hr 2.0 For Product 2, these data are Workstation # E[Ts] C2 s 1 0.25 hr 1.0 2 0.35 hr 1.5 3 0.60 hr 2.0 The mean release rate for Product 1 is 0.2 jobs per hour and for Product 2 is 0.3 jobs per hour, both releases according to a Poisson process into Workstation 1. (a) Determine the minimum number of (identical) machines that must be placed in each workstation so that a steady-state system results. (b) Using the number of machines determined in Part (a), find the workstation and system performance measures: cycle time, work-in-process, and throughput

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