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Problemy Peredachi Informatsii, 1993, Volume 29, Issue 3, Pages 76–85 (Mi ppi190)  
Communication Network Theory

Ergodicity Properties of Queueing Networks with Group Arrivals and Group Service

D. D. Botvich, A. A. Zamyatin
Full-text PDF (815 kB)
Abstract: We consider queueing networks with group arrivals and group service under conditions that make it impossible to obtain explicit expressions for the stationary probabilities. The method of Lyapounov functions is used for determination of the ergodicity criterion. Also exponentially fast convergence to the stationary distribution is proved.
Received: 01.03.1993
Bibliographic databases:
Document Type: Article
UDC: 621.394/395.74:519.2
Language: Russian
Citation: D. D. Botvich, A. A. Zamyatin, “Ergodicity Properties of Queueing Networks with Group Arrivals and Group Service”, Probl. Peredachi Inf., 29:3 (1993), 76–85; Problems Inform. Transmission, 29:3 (1993), 268–276
Citation in format AMSBIB
\Bibitem{BotZam93}
\by D.~D.~Botvich, A.~A.~Zamyatin
\paper Ergodicity Properties of Queueing Networks with Group Arrivals and Group Service
\jour Probl. Peredachi Inf.
\yr 1993
\vol 29
\issue 3
\pages 76--85
\mathnet{http://mi.mathnet.ru/ppi190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1239378}
\zmath{https://zbmath.org/?q=an:0828.90039}
\transl
\jour Problems Inform. Transmission
\yr 1993
\vol 29
\issue 3
\pages 268--276
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