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Avtomatika i Telemekhanika, 1981, Issue 11, Pages 74–82 (Mi at6044)  

Stochastic Systems

Optimal assignment of the rate for service of customers in a multilinear two-rate service system

A. N. Dudin

Minsk
Abstract: The paper discusses the problem of choosing an optimal strategy of switching the rates at which customer are served in a multilinear two-rate service system with a time period spent on rate switching. The solution is sought in the calss of hysteresis strategies. The stationary probabilities are determined for a service system; a sufficient condition is proved for existence of a stationary mode. The case of threshold strategies is discussed in more detail.

Received: 21.10.1980
Bibliographic databases:
Document Type: Article
UDC: 65.012.122
Language: Russian
Citation: A. N. Dudin, “Optimal assignment of the rate for service of customers in a multilinear two-rate service system”, Avtomat. i Telemekh., 1981, no. 11, 74–82; Autom. Remote Control, 42:11 (1981), 1490–1497
Citation in format AMSBIB
\Bibitem{Dud81}
\by A.~N.~Dudin
\paper Optimal assignment of the rate for service of customers in a multilinear two-rate service system
\jour Avtomat. i Telemekh.
\yr 1981
\issue 11
\pages 74--82
\mathnet{http://mi.mathnet.ru/at6044}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=705361}
\zmath{https://zbmath.org/?q=an:0491.93066}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 42
\issue 11
\pages 1490--1497
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  • https://www.mathnet.ru/eng/at/y1981/i11/p74
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    Avtomatika i Telemekhanika
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