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Realization probability and throughput sensitivity in a closed jackson network

Published online by Cambridge University Press:  14 July 2016

Xi-Ren Cao
Xi-Ren Cao*
Affiliation:
Digital Equipment Corporation
*
∗ Postal address: Digital Equipment Corporation, MRO1–1/L26, 200 Forest Street, Marlboro, MA 01752, USA.
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Abstract

Realization probability is a new concept pertaining to perturbation analysis of closed queuing networks. The sensitivities of throughputs in a closed single-class Jackson network can be expressed in terms of realization probabilities. In this paper, based on a discussion of perturbation analysis for networks with state-dependent service rates, we derive some new formulas for sensitivities of throughputs using realization probability.

Keywords

PERTURBATION ANALYSISCLOSED QUEUING NETWORKS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 3 , September 1989, pp. 615 - 624
Copyright
Copyright © Applied Probability Trust 1989 

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Footnotes

This work was initiated when the author was with the Division of Applied Sciences, Harvard University, Cambridge, MA 02138.

References

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