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Avtomatika i Telemekhanika, 2004, Issue 9, Pages 71–84 (Mi at1631)  
This article is cited in 9 scientific papers (total in 9 papers)

Queuing Systems

An optimal multithreshold control for the input flow of the $GI/PH/1$ queueing system with a BMAP flow of negative customers

A. N. Dudina, Kim Che Soongb, O. V. Semyonovaa

a Belarusian State University, Minsk
b Sangji University, Wonju, Gangwon Province
Full-text PDF (254 kB) Citations (9)
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Abstract: A GI/PH/1 queueing system with an additional flow of negative customers is studied. The system has many operation modes differing in the distribution of inter-arrival lengths. Mode control depends on the queue length at arrival instants defined by a multithreshold strategy. The stationary state probability distribution of the system for fixed thresholds is studied. Numerical examples are given to illustrate the determination of the optimal threshold set in a fixed search domain.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 15.12.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 9, Pages 1417–1428
DOI: https://doi.org/10.1023/B:AURC.0000041420.76700.a3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Dudin, Kim Che Soong, O. V. Semyonova, “An optimal multithreshold control for the input flow of the $GI/PH/1$ queueing system with a BMAP flow of negative customers”, Avtomat. i Telemekh., 2004, no. 9, 71–84; Autom. Remote Control, 65:9 (2004), 1417–1428
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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