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Stochastic Model for Communicating Retrial Queuing Systems with Cyclic Control in Random Environment1

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Cybernetics and Systems Analysis Aims and scope

Abstract

The cybernetic approach is used to develop a mathematical model for communicating queuing systems. Conflicting input flows of the first queuing system and one of the input flows of the second queuing system are formed in a synchronous Markov random environment with a finite number of states. Another input flow of the second queuing system consists of retrials arriving from the first queuing system. The transition of a customer from the first queuing system to the second one takes a random amount of time. Servicing is performed by a cyclic algorithm with fixed duration.

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Authors and Affiliations

  1. N. I. Lobachevskii State University, Nizhnii Novgorod, Russia

    A. V. Zorine

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  1. A. V. Zorine
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Correspondence to A. V. Zorine.

Additional information

1The study was sponsored by the Russian Foundation for Basic Research, grant No. 12-01-90409.

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2013, pp. 100–109.

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Zorine, A.V. Stochastic Model for Communicating Retrial Queuing Systems with Cyclic Control in Random Environment1 . Cybern Syst Anal 49, 890–897 (2013). https://doi.org/10.1007/s10559-013-9579-z

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  • DOI: https://doi.org/10.1007/s10559-013-9579-z

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