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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 2, Pages 302–320 (Mi tvp2512)  
This article is cited in 6 scientific papers (total in 7 papers)

Heavy traffic approximation for two-phase queueing system

F. I. Karpelevič, A. Ya. Kreĭnin

Moscow
Full-text PDF (896 kB) Citations (7)
Abstract: We investigate the heavy traffic approximation for two-phase queueing system with unbounded queues at each phase. It is proved that the limit distribution function of waiting times is the solution of an elliptic differential equation in a plane angle with an oblique derivative on the boundary. This solution may be obtained by means of reducing to some boundary problem for a function of a complex variable.
Received: 27.06.1979
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 2, Pages 293–313
DOI: https://doi.org/10.1137/1126030
Bibliographic databases:
Language: Russian
Citation: F. I. Karpelevič, A. Ya. Kreǐnin, “Heavy traffic approximation for two-phase queueing system”, Teor. Veroyatnost. i Primenen., 26:2 (1981), 302–320; Theory Probab. Appl., 26:2 (1982), 293–313
Citation in format AMSBIB
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\by F.~I.~Karpelevi{\v{c}}, A.~Ya.~Kre{\v\i}nin
\paper Heavy traffic approximation for two-phase queueing system
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 2
\pages 302--320
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\zmath{https://zbmath.org/?q=an:0481.60095|0459.60087}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 2
\pages 293--313
\crossref{https://doi.org/10.1137/1126030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NJ71600005}
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  • https://www.mathnet.ru/eng/tvp/v26/i2/p302
    • This publication is cited in the following 7 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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