A flexible manufacturing cell consists of a manual load/unload station, three CNC machines, and an automated guided

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A flexible manufacturing cell consists of a manual load/unload station, three CNC machines, and an automated guided vehicle system (AGVS) with two vehicles. The vehicles deliver parts to the individual machines, drop off the parts, then go perform other work. The workstations are listed in the table below, where the AGVS is listed as station 5.
A flexible manufacturing cell consists of a manual load/unload station,

The FMC is used to machine four work parts. The product mix, routings, and processing times for the parts are presented in the table below:

A flexible manufacturing cell consists of a manual load/unload station,

The mean travel time of the AGVS between any two stations in the FMC is 3 min which includes the time required to transfer loads to and from the stations. Given that the loading on the system is maintained at 10 parts (10 work parts in the system at all times), use the extended bottleneck model to determine
(a) The bottleneck station,
(b) The production rate of the system and the average time to complete a unit of production, and
(c) The overall utilization of the system, not including the AGVS.

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