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References (6)
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Xiren Cao (1989)
Calculation of sensitivities of throughput and realization probabilities in closed queueing networks with finite buffersAdvances in Applied Probability, 21
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Baoqun Yin, Yaping Zhou, Xiaoxian Yang (1999)
Sensitivity formulas of performance in closed state-dependent queueing networksControl Theory and Applications, 16
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Xiren Cao (1994)
Realization Probabilities: The Dynamics of Queueing Systems -
Baoqun Yin, Yaping Zhou, Hongsheng Xi (1999)
Sensitivity formulas of performance in two-server cyclic queueing networks with phase-type distributed service timesInternational Transactions in Operation Research, 6
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Xiren Cao (1989)
Realization probability and throughput sensitivity in a closed Jackson networkJournal of Applied Probability, 26
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Baoqun Yin, Yaping Zhou, Hongsheng Xi (2002)
Sensitivity analysis of performance with parameter-dependent performance functions in closed queueing networksControl Theory and Applications, 19
- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 1005-1031
- eISSN
- 1993-0445
- DOI
- 10.1007/s11766-996-0011-6
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, the concept of the infinitesimal realization factor is extended to the parameter-dependent performance functions in closed queueing networks. Then the concepts of realization matrix (its elements are called realization factors) and performance potential are introduced, and the relations between infinitesimal realization factors and these two quantities are discussed. This provides a united framework for both IPA and non-IPA approaches. Finally, another physical meaning of the service rate is given.
Journal
Applied Mathematics-A Journal of Chinese Universities – Springer Journals
Published: Jun 26, 1996