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Circuit-switching networks with priorities on a one-dimensional lattice

Published online by Cambridge University Press:  14 July 2016

Rahim Shamsiev
Rahim Shamsiev*
Affiliation:
USSR Academy of Sciences
*
∗ Postal address: Institute for Problems of Information Transmission, USSR Academy of Sciences, 19, Yermolova Str., GSP-4 Moscow 101447 USSR.
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Abstract

We prove existence and uniqueness of a stationary regime for a model of a circuit-switching network with infinitely many nodes.

Keywords

EXISTENCE AND UNIQUENESS OF A STATIONARY REGIMEMAJORIZING FAMILY OF RANDOM MARKED POINT PROCESSES
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 901 - 905
Copyright
Copyright © Applied Probability Trust 1989 

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References

[1] Berezner, S. A. and Malyshev, V. A. (1989) The stability of infinite-server networks with random routing. J. Appl. Prob. 26, 363–371.Google Scholar
[2] Kelbert, M. Ya., Kopeika, R. P., Shamsiev, R. N. and Suhov, Yu. M. (1987) On a class of hybrid switching networks with small transit flows. Preprint 269/87, Research Center BiBoS, Universitat Bielefeld, BRD.Google Scholar
[3] Kelbert, M. Ya., Kopeika, R. P., Shamsiev, R. N. and Suhov, Yu. M. (1990) Perturbation theory approach for a class of hybrid switching networks with small transit flows. Adv. Appl. Prob. 22(1).Google Scholar