Production and Operations Management Consulting.
Performance evaluation of an FMS (Static allocation approach)
A Flexible Manufacturing System (FMS) is modeled as a closed queueing network (CQN).
The number N of pallets is so large, that the bottleneck station has a utilization of 100%. Following the determination of the bottleneck station the performance criteria of the other stations are derived. The result can be considered as the asymptotic behavior of the FMS for a large number of pallets.
The last station (M) is the transportation station (central server). Its relative arrival frequency is always 1.0 (non-editable). Be sure that the relative arrival frequencies of the remaining stations (1 to M-1) sum up to 1.
|m||index of stations|
|e||index of the bottleneck station|
|b(m)||mean processing time of a typical workpiece at station m|
|p(m)||relative arrival frequency of a workpiece at station m|
|S(m)||number of servers (machines, vehicles, etc.) at station m|
|X(m)||throughput of station m|
|U(m)||utilization of station m|
- unlimited (very large) number of pallets
- Tempelmeier/Kuhn (1993), Chapter 3