Abstract
Multichannel stochastic networks are considered. Poisson arrivals at each node of the networks have time-dependent characteristics. For heavy traffic conditions, an approximate Gaussian process is set up and a functional limit theorem is proved.
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A. V. Skorokhod, “Limit theorems for stochastic processes,” Theory of Probability and its Applications, 1, No. 3, 261–290 (1956).
B. V. Gnedenko and I. N. Kovalenko, An Introduction to Queuing Theory [in Russian], KomKniga, Moscow (2005).
A. V. Skorokhod, Random Processes with Independent Increments [in Russian], Nauka, Moscow (1964).
Ye. A. Lebedev, “Multichannel stochastic networks under critical load conditions,” Cybern. Syst. Analysis, 41, No. 1, 148–156 (2005).
V. V. Anisimov and E. A. Lebedev, Stochastic Queuing Networks. Markov Models [in Russian], Lybid’, Kyiv (1992).
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2012, pp. 106–113.
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Livinskaya, A.V., Lebedev, E.A. Limit theorem for multichannel networks in heavy traffic. Cybern Syst Anal 48, 899–905 (2012). https://doi.org/10.1007/s10559-012-9470-3
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DOI: https://doi.org/10.1007/s10559-012-9470-3