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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 831–837 (Mi tvp3631)  
Short Communications

Queueing systems with arbitrary initial conditions

N. P. Leont'eva

Novosibirsk
Full-text PDF (1251 kB)
Abstract: Conditions for convergence of queueing and waiting-time processes to stationary processes are given for multi-channel systems (with refuses or queues) with arbitrary initial conditions. It is assumed that inter-arrival and service times form a stationary sequence of dependent or independent random variables with arbitrary distribution functions.
Received: 20.10.1975
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 4, Pages 813–818
DOI: https://doi.org/10.1137/1122093
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. P. Leont'eva, “Queueing systems with arbitrary initial conditions”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 831–837; Theory Probab. Appl., 22:4 (1978), 813–818
Citation in format AMSBIB
\Bibitem{Leo77}
\by N.~P.~Leont'eva
\paper Queueing systems with arbitrary initial conditions
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 4
\pages 831--837
\mathnet{http://mi.mathnet.ru/tvp3631}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=483091}
\zmath{https://zbmath.org/?q=an:0399.60089}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 4
\pages 813--818
\crossref{https://doi.org/10.1137/1122093}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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