Far Eastern Mathematical Journal

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The product theorem for interacting queueing system

M. A. Osipova

2002, issue 1, P. 61–63

Abstract

In the present work two interacting queueing systems which are in a regime of an adaptation are considered. It is shown, that stationary distribution of these systems does not depend on their interactions.

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References

[1] G. Sh. Ciciashvili, M. A. Osipova, N. V. Kol'ev, “Vychislenie stacionarnogo raspredeleniya v adaptivnyx setyax massovogo obsluzhivaniya”, DV mat. Zhurnal, 1:2 (2001). [2] G. Sh. Tsitsiashvili, M. A. Osipova, N. V. Koliev, D. Baum, A Product Theorem for Markov Chains with Application to PF-Queueing Networks, University of Trier, 2001, 18 pp. [3] L. Ya. Glybin, Ritm zhizni chelovecheskogo obshhestva, Otkrytie fenomena, Vladivostok, 1996, 154 s.

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