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A heterogeneous blocking system in a random environment

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

G. Falin
G. Falin*
Affiliation:
Moscow State University
*
∗Postal address: Department of Probability, Mechanics and Mathematics Faculty, Moscow State University, Moscow 119899, Russia, e-mail: falin@nw.math.msu.su
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Abstract

We obtain a necessary and sufficient condition for the interaction between a service system and an external environment under which the stationary joint distribution of the set of busy channels and the state of the external environment is given by a product-form formula.

Keywords

DECOMPOSITIONINSENSITIVITYLOSS MODELRANDOM ENVIRONMENT

MSC classification

Primary: 60K25: Queueing theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 1 , March 1996 , pp. 211 - 216
Copyright
Copyright © Applied Probability Trust 1996 

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