Abstract
Consideration was given to the queuing networks where the intensity of servicing at the nodes does not exceed that of the input flow. The problem of the limit distributions in such networks had risen from the analogy between the queuing networks and the hydrodynamic models. The limit distributions of the number of customers at the network nodes were calculated by modifying the customer flows in the networks under study.
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References
Basharin, G.P. and Tolmachev, A.L., Theory of Queuing Networks and Its Applications to Analysis of the Information-Computational Systems, in Itogi Nauki i Tekhniki, Ser. Teor. Veroyatn., Moscow: VINITI, 1983.
Ivchenko, G.I., Kashtanov, V.A., and Kovalenko, V.A., Teoriya massovogo obsluzhivaniya (Queuing Theory), Moscow: Vysshaya Shkola, 1982.
Serfozo, R., Introduction to Stochastic Networks, New York: Springer, 1999.
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Original Russian Text © G.Sh. Tsitsiashvili, M.A. Osipova, 2010, published in Avtomatika i Telemekhanika, 2010, No. 9, pp. 185–189.
This work was supported by the Russian Foundation for Basic Research, project no. 06-01-00063-a, and the Far-Eastern Branch, Russian Academy of Sciences, project no. 09-I-P2-07.
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Tsitsiashvili, G.S., Osipova, M.A. Overload at the queuing network nodes. Autom Remote Control 71, 1909–1912 (2010). https://doi.org/10.1134/S0005117910090134
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DOI: https://doi.org/10.1134/S0005117910090134