Performance evaluation of an FMS (Mean-Value
Analysis)
Mean-Value-Analysis is applied to compute the exact performance
measures of a flexible manufacturing system with universal pallets, that is
modeled as a product-form closed-queueing network.
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.
Symbols:
| 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 pallet at station m |
|
S(m) |
number of servers at station m (machines, vehicles, etc.) |
|
N |
number of pallets circulating in the system |
Assumptions:
- limited
number of pallets
- universal
pallets
Literature:
- Tempelmeier/Kuhn
(1993), Chapter 3
- Askin/Standridge (1993), Paragraph 11.4
|
