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Avtomatika i Telemekhanika, 2011, Issue 1, Pages 107–120 (Mi at1271)  
This article is cited in 9 scientific papers (total in 9 papers)

Queuing Systems

$Geo_m/G/1/n$ system with $LIFO$ discipline without interrupts and constrained total amount of customers

A. Casconea, R. Manzoa, A. V. Pechinkinb, S. Ya. Shorginb

a University of Salerno, Salerno, Italy
b Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (195 kB) Citations (9)
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Abstract: Consideration was given to the discrete-time queuing system with inversive servicing without interrupts, second-order geometrical arrivals, arbitrary (discrete) distribution of the customer length, and finite buffer. Each arriving customer has length and random volume. The total volume of the customers sojourning in the system is bounded by some value. Formulas of the stationary state probabilities and stationary distribution of the time of customer sojourn in the system were established.
Presented by the member of Editorial Board: A. I. Lyakhov

Received: 25.02.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 1, Pages 99–110
DOI: https://doi.org/10.1134/S0005117911010085
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Cascone, R. Manzo, A. V. Pechinkin, S. Ya. Shorgin, “$Geo_m/G/1/n$ system with $LIFO$ discipline without interrupts and constrained total amount of customers”, Avtomat. i Telemekh., 2011, no. 1, 107–120; Autom. Remote Control, 72:1 (2011), 99–110
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2011/i1/p107
    • 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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    Abstract page:449
    Full-text PDF :97
    References:49
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