6.1. Consider a facility that produces two products in three workstations. Product 1 follows the probabilistic workstati

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6 1 Consider A Facility That Produces Two Products In Three Workstations Product 1 Follows The Probabilistic Workstati 1 (80.2 KiB) Viewed 18 times

6.1. 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 Problems 185 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 Prod- uct 1, these data are Workstation # ET, C² 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 # ET₂ C 1 0.25 hr 1.0 0.35 hr 1.5 2 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. WN WN