DocumentCode :
928267
Title :
Simple relationships among moments of queue lengths in product form queueing networks
Author :
De Souza e Silva, Edmundo ; Muntz, Richard R.
Author_Institution :
Dept. of Electr. Eng., Pontificia Univ. Catolica, Rio de Janeiro, Brazil
Volume :
37
Issue :
9
fYear :
1988
fDate :
9/1/1988 12:00:00 AM
Firstpage :
1125
Lastpage :
1129
Abstract :
Obtains simple relationships among partial derivatives and moments of mean queue lengths in product form queueing network models. It is shown that the mean value analysis equations can be used to obtain recursive expressions which make it possible to easily evaluate these moments in a mean value analysis type recursion. These results are also considered important in applications such as optimization problems and sensitivity analysis. Finally, it is shown that some known mean value equations can be easily derived from the results proven
Keywords :
optimisation; performance evaluation; queueing theory; sensitivity analysis; mean queue lengths; mean value analysis; moments; optimization problems; partial derivatives; product form; queue lengths; queueing network models; queueing networks; recursive expressions; sensitivity analysis; Automata; Circuits; Delay; Equations; Fault tolerance; Intelligent networks; Network servers; Queueing analysis; Sensitivity analysis; Throughput;
fLanguage :
English
Journal_Title :
Computers, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9340
Type :
jour
DOI :
10.1109/12.2264
Filename :
2264
Link To Document :
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