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Nonuniform networks with restrictions on the residence time in maintenance mode

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Abstract

An open nonuniform network of queuing with the simplest incoming flow, exponential service at the nodes, and Markov routing was studied. In each of the nodes there is only one device, which can operate in several modes. For isolated nodes in a fictitious medium, conditions of reversibility, under which the stationary probability distribution of states of the network has a multiplicative form, were obtained. It is proved that customers flows coming out of the network are independent and Poisson.

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References

  1. Malinkovsky, Yu.V., and Nueman, A.Yu., Multiplicativity of Stationary Distribution in Open Networks with Multimode Service Strategies, Vesti NAN Belarusi, 2001, no. 3, pp. 129–134.

  2. Malinkovsky, Yu.V., Criterion for the Representability of a Stationary Distribution of States of Open Markovian Service Networks with Multiple Classes of Applications in the Multiplicative Form, Autom. Remote Control, 1991, no. 4, pp. 75–83.

  3. Letunovich, Yu.E., The stationary Distribution of States of Open Heterogeneous Networks with Multimode Strategies and Immediate Service, Modern information and computer technology, 2008, pp. 97–99.

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Authors and Affiliations

  1. Department of Economic Cybernetics and the Theory of Probability, Skaryna Gomel State University, Sovetskaya ul. 104, Gomel, 246019, Belarus

    Yu. E. Letunovich

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  1. Yu. E. Letunovich
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Correspondence to Yu. E. Letunovich.

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Original Russian Text © Yu.E. Letunovich, 2010, published in Avtomatika i Vychislitel’naya Tekhnika, 2010, No. 5, pp. 33–41.

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Letunovich, Y.E. Nonuniform networks with restrictions on the residence time in maintenance mode. Aut. Conrol Comp. Sci. 44, 272–278 (2010). https://doi.org/10.3103/S0146411610050044

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  • DOI: https://doi.org/10.3103/S0146411610050044

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