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Simple relationships among moments of queue lengths in product form queueing networks

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2 Author(s)
de Souza e Silva, E. ; Dept. of Electr. Eng., Pontificia Univ. Catolica, Rio de Janeiro, Brazil ; Muntz, Richard R.

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

Published in:

Computers, IEEE Transactions on  (Volume:37 ,  Issue: 9 )

Date of Publication:

Sep 1988

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