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Product forms based on backward traffic equations

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Richard J. Boucherie
Richard J. Boucherie*
Affiliation:
CWI, Amsterdam
*
∗Present address: Universiteit van Amsterdam, Department of Econometrics, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands.
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Abstract

This paper introduces a new form of local balance and the corresponding product-form results. It is shown that these new product-form results allow capacity constraints at the stations of a queueing network without reversibility assumptions and without special blocking protocols. In particular, exact product-form results for heavily loaded queueing networks are obtained.

Keywords

LOCAL BALANCEBLOCKINGQUEUEING NETWORK

MSC classification

Primary: 60K25: Queueing theory
Secondary: 90B22: Queues and service
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 2 , June 1995 , pp. 508 - 518
Copyright
Copyright © Applied Probability Trust 1995 

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Footnotes

Research carried out partly while the author was with the Department of Econometrics, Vrije Universiteit, Amsterdam, and partly while the author was ERCIM fellow at CWI, Amsterdam. Supported by the European Grant BRA-QMIPS of CEC DG XIII.

References

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