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Avtomatika i Telemekhanika, 1989, Issue 3, Pages 73–83 (Mi at6237)  
This article is cited in 1 scientific paper (total in 1 paper)

Queuing Systems

Diffusional approximation of a queue in a multilinear system with phase servicing

E. V. Krichagina

Moscow
Full-text PDF (1045 kB) Citations (1)
Abstract: For a sequence of $GI/G/S$ systems with servicing of phase type the convergence is established for the distribution of the vectorial process of a normalized queue to a multi-dimensional diffusional process. The martingale theorem is employed in proving the basic results.

Received: 10.11.1987
Bibliographic databases:
Document Type: Article
UDC: 519.872
Language: Russian
Citation: E. V. Krichagina, “Diffusional approximation of a queue in a multilinear system with phase servicing”, Avtomat. i Telemekh., 1989, no. 3, 73–83; Autom. Remote Control, 50:3 (1989), 346–354
Citation in format AMSBIB
\Bibitem{Kri89}
\by E.~V.~Krichagina
\paper Diffusional approximation of a queue in a multilinear system with phase servicing
\jour Avtomat. i Telemekh.
\yr 1989
\issue 3
\pages 73--83
\mathnet{http://mi.mathnet.ru/at6237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=995099}
\zmath{https://zbmath.org/?q=an:0683.90028}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 3
\pages 346--354
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  • https://www.mathnet.ru/eng/at6237
  • https://www.mathnet.ru/eng/at/y1989/i3/p73
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:119
    Full-text PDF :63
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