Sensitivity results in open, closed, and mixed product-form queueing networks

Zhen Liu 1 Philippe Nain 1
1 MEVAL - Modeling and Performance Evaluation of Computer Systems
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : General formulas are proposed to quantify the effects of changing the arrival and service rates in the so-called BCMP network. These formulas relate the derivative of the expectation of any function F of the state of the network with respect to any arrival/service rate in the network, to known functions of the state of the network. As an application, sensitivity results of interest bearing on throughputs and on the moments of queue lengths can be derived by appropriate choices of the function F.
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Rapport
[Research Report] RR-1144, INRIA. 1989
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https://hal.inria.fr/inria-00075415
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Soumis le : mercredi 24 mai 2006 - 18:10:10
Dernière modification le : jeudi 11 janvier 2018 - 16:31:43
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Zhen Liu, Philippe Nain. Sensitivity results in open, closed, and mixed product-form queueing networks. [Research Report] RR-1144, INRIA. 1989. 〈inria-00075415〉

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