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Avtomatika i Telemekhanika, 2019, Issue 1, Pages 67–82
DOI: https://doi.org/10.1134/S0005231019010057 (Mi at15229) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Stochastic Systems

Queueing system M/M/1/$\infty$ with perishable inventory and repeated customers

A. Z. Melikova, M. O. Shahmaliyevb

a Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b National Aviation Academy, Baku, Azerbaijan
Full-text PDF (2450 kB) Citations (12)
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DOI: https://doi.org/10.1134/S0005231019010057
Abstract: We propose a model of a queueing system with a single server, perishable inventory and repeated customers that can form an orbit of infinite size. In the absence of inventory in the system, primary customers according to the Bernoulli scheme either enter the queue or go into the orbit. The system uses the $(s, S)$-policy of replenishing the inventory. We develop a method for calculating system characteristics and solve the problem of minimizing total costs by choosing the critical level of inventory.
Keywords: queueing-inventory systems, perishable inventory, repeated customers, computation algorithm, optimization.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 09.04.2018
Revised: 23.07.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 1, Pages 53–65
DOI: https://doi.org/10.1134/S0005117919010053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Z. Melikov, M. O. Shahmaliyev, “Queueing system M/M/1/$\infty$ with perishable inventory and repeated customers”, Avtomat. i Telemekh., 2019, no. 1, 67–82; Autom. Remote Control, 80:1 (2019), 53–65
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2019/i1/p67
    • This publication is cited in the following 12 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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    Full-text PDF :37
    References:36
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