Abstract
A single-server queue system with nonordinary input flow that depends on the queue length is considered. Sufficient existence conditions for the stationary distribution of the queue length provided that the process under study is an eigen process are obtained. Recurrence formulas for the Laplace transform of the nonstationary distributions of the queue length are derived.
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Original Russian Text © A.G. Gadzhiev, A.B. Kasumov, 2014, published in Avtomatika i Vychislitel’naya Tekhnika, 2014, No. 2, pp. 25–33.
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Gadzhiev, A.G., Kasumov, A.B. Nonstationary characteristics of a single-server queue system with nonordinary input flow. Aut. Control Comp. Sci. 48, 80–86 (2014). https://doi.org/10.3103/S0146411614020035
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DOI: https://doi.org/10.3103/S0146411614020035