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Avtomatika i Telemekhanika, 1989, Issue 11, Pages 100–109 (Mi at6472)  
Queuing Systems

Optimizing functions of queue in time in $GI_n/M/1$ queueing systems

E. A. Timofeev

Yaroslavl
Full-text PDF (1207 kB)
Abstract: The paper shows how to find the service order to minimize the loss function $F(W_1,\ldots, W_n)$ in a $GI_n/M/1$ queueing system, where $(W_1,\ldots, W_n)$ are queueing times. The set of possible values of $(W_1,\ldots, W_n)$ is proved to make a polyhedron which is the face of a polymatroid.

Received: 15.12.1987
Bibliographic databases:
Document Type: Article
UDC: 519.872.7
Language: Russian
Citation: E. A. Timofeev, “Optimizing functions of queue in time in $GI_n/M/1$ queueing systems”, Avtomat. i Telemekh., 1989, no. 11, 100–109; Autom. Remote Control, 50:11 (1989), 1540–1548
Citation in format AMSBIB
\Bibitem{Tim89}
\by E.~A.~Timofeev
\paper Optimizing functions of queue in time in $GI_n/M/1$ queueing systems
\jour Avtomat. i Telemekh.
\yr 1989
\issue 11
\pages 100--109
\mathnet{http://mi.mathnet.ru/at6472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1033626}
\zmath{https://zbmath.org/?q=an:0704.90034}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 11
\pages 1540--1548
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