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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 3, Pages 559–570 (Mi tvp3400)  
This article is cited in 3 scientific papers (total in 3 papers)

Conditions for the convergence to limit processes and the strong law of large numbers in the queuing systems

I. Ahmarov, N. P. Leont'eva

Novosibirsk
Full-text PDF (779 kB) Citations (3)
Abstract: We consider queueing systems with refuses or with queues, restricted by a number $N<\infty$ or non-restricted, with many service channels or with only one. The inter-arrival and service times form a stationary sequence of dependent or independent random variables with arbitrary distribution functions.
The main results are conditions for the convergence of the queueing and waiting time processes to stationary ones and the strong law of large numbers for these processes and arbitrary functionals from them.
Received: 21.01.1975
English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 3, Pages 545–556
DOI: https://doi.org/10.1137/1121066
Bibliographic databases:
Language: Russian
Citation: I. Ahmarov, N. P. Leont'eva, “Conditions for the convergence to limit processes and the strong law of large numbers in the queuing systems”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 559–570; Theory Probab. Appl., 21:3 (1977), 545–556
Citation in format AMSBIB
\Bibitem{AkhLeo76}
\by I.~Ahmarov, N.~P.~Leont'eva
\paper Conditions for the convergence to limit processes and the strong law of large numbers in the queuing systems
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 3
\pages 559--570
\mathnet{http://mi.mathnet.ru/tvp3400}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=518473}
\zmath{https://zbmath.org/?q=an:0366.60116}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 3
\pages 545--556
\crossref{https://doi.org/10.1137/1121066}
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  • https://www.mathnet.ru/eng/tvp/v21/i3/p559
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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