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Avtomatika i Telemekhanika, 2004, Issue 1, Pages 117–130 (Mi at1507)  
This article is cited in 19 scientific papers (total in 19 papers)

Queuing Systems

A two-phase BMAP|G|1|N $\to$ PH|1|M$-1$ system with blocking

D. Breuera, A. N. Dudinb, V. I. Klimenokb, G. V. Tsarenkovb

a Universität Trier
b Belarusian State University, Minsk
Full-text PDF (241 kB) Citations (19)
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Abstract: The stationary probability distribution of a two-phase queueing system with a finite or an infinite buffer for the first phase and a finite buffer for the second phase is derived. The input flow of the system is a batch Markov arrival process. Both phases have single-servers. The service time distribution is arbitrary for the first phase and of phase-type for the second phase. If the buffer of the second phase is full at the instant of completion of service at the first phase, the first server is blocked until the buffer is freed.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 23.04.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 1, Pages 104–115
DOI: https://doi.org/10.1023/B:AURC.0000011694.78809.a0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. Breuer, A. N. Dudin, V. I. Klimenok, G. V. Tsarenkov, “A two-phase BMAP|G|1|N $\to$ PH|1|M$-1$ system with blocking”, Avtomat. i Telemekh., 2004, no. 1, 117–130; Autom. Remote Control, 65:1 (2004), 104–115
Citation in format AMSBIB
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\jour Autom. Remote Control
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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