Formulas:
Introduction
M/M/1 Queues in Series
M/M/1 with Load and Unload
M/M/1 with Priority Classes
M/M/1 with Rework
M/M/1 with Scrap
M/M/s Queue
M/G/1 Queue
Formula References
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Queueing Formula References
We have collected a short list of references that you
might find useful in estimating cycle time via queueing
models. This list is by no means exhaustive - it merely
represents sources that we have found especially helpful.
 S. Asmussen. 1987. Applied
Probability and Queues. John Wiley & Sons. |
| F. Chance. 1999. The Factory
Explorer User Manual. Wright Williams & Kelly. |
| D. Connors, G. Feigin, and D.
Yao. 1996. A Queueing Network Model for Semiconductor
Manufacturing. IEEE Transactions on Semiconductor
Manufacturing, Vol. 9, No. 3, 412-427. |
| D.
Gross and C. M. Harris. 1997. Fundamentals
of Queueing Theory. John Wiley & Sons. |
| W. Kraemer and
M. Langenbach-Belz.
1976. Approximate formulae for the delay in the
queuing system GI/G/1. Congressbook, 8th Internat. Teletraffic Congress, Melbourne,
235-1/8. |
| N. Prabhu. 1981.
Basic Queueing Theory. Technical Report No. 478,
School of Operations Research and Industrial Engineering, Cornell University,
Ithaca, New York. |
| W. Whitt. 1983a.
The Queueing Network Analyzer. Bell
Systems Technical Journal 62: 2779-2815. |
| W. Whitt. 1983b. The Performance of the Queueing Network
Analyzer. Bell
Systems Technical Journal 62: 2817-2843. |
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