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Mean-Value Analysis of Closed Multichain Queuing Networks
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Source Journal of the ACM (JACM) archive
Volume 27 ,  Issue 2  (April 1980) table of contents
Pages: 313 - 322  
Year of Publication: 1980
ISSN:0004-5411
Authors
M. Reiser  IBM Zurich Research Laboratory, CH-8803 Ruschhkon, Saumerstrasse 4, Switzerland
S. S. Lavenberg  IBM Thomas J. Watson Research Center, Yorktown Heights, NY
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 26,   Downloads (12 Months): 182,   Citation Count: 151
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ABSTRACT

It is shown that mean queue sizes, mean waiting times, and throughputs in closed multiple-chain queuing networks which have product-form solution can be computed recursively without computing product terms and normalization constants. The resulting computational procedures have improved properties (avoidance of numerical problems and, in some cases, fewer operations) compared to previous algorithms. Furthermore, the new algorithms have a physically meaningful interpretation which provides the basis for heuristic extensions that allow the approximate solution of networks with a very large number of closed chains, and which is shown to be asymptotically valid for large chain populations.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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CITED BY  151

Collaborative Colleagues:
M. Reiser: colleagues
S. S. Lavenberg: colleagues