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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1977 Volume 13, Issue 4, Pages 89–95 (Mi ppi1113)

Queueing theory

Flow of Serviced Requests in Infinite-Channel Queueing Systems in a Transient Mode

M. Ya. Postan


Abstract: The conditions are determined under which the outgoing flow in a transient mode is a nonstationary Poisson flow, for infinite-channel systems with a nonstationary nonunary Poisson incoming flow of requests and a servicing time whose distribution is arbitrary or follows a nonstationary exponential law. Explicit forms are found for the generating functions of the joint probability distribution of the number of requests being serviced and of the number of serviced requests. Expressions are computed for the leading functions of the outgoing flows.

UDC: 621.391.1, 519.211

Received: 19.11.1975


 English version:
Problems of Information Transmission, 1977, 13:4, 309–313

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© Steklov Math. Inst. of RAS, 2026