Question: A flexible machining system is being planned that will consist of four workstations plus a part handling system. Station 1 will be a load/unload station.

A flexible machining system is being planned that will consist of four workstations plus a part handling system. Station 1 will be a load/unload station. Station 2 will consist of horizontal machining centers. Station 3 will consist of vertical machining centers. Station 4 will be an inspection station. Four the part mix that will be processed by the FMS, the workloads at the four stations are as follows: WL1 = 7.5 min, WL2 = 22.0 min, WL3 = 18.0 min, and WL4 = 10.2 min. The workload of the part handling system WL5 = 8.0 min. The FMS will be operated 16 hours per day, 250 days per year. Maintenance will be performed during nonproduction hours, so uptime proportion (availability) is expected to be 97%. Annual production of the system will be 50,000 parts. Determine the number of machines (servers) of each type (station) required to satisfy production requirements.

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