Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns

Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns

The paper addresses monotonicity properties of the single server retrial queue with no waiting room and server subject to active breakdowns. The obtained results allow us to place in a prominent position the insensitive bounds for the stationary distribution of the embedded Markov chain related to t...

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Bibliographic Details
Main Author: Mohamed Boualem
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in Operations Research
Online Access:http://dx.doi.org/10.1155/2014/985453
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spelling doaj-ea077677b1734fcca91e817e25ccb9b02020-11-24T23:44:14ZengHindawi LimitedAdvances in Operations Research1687-91471687-91552014-01-01201410.1155/2014/985453985453Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active BreakdownsMohamed Boualem0Laboratory of Modeling and Optimization of Systems (LaMOS), University of Bejaia, 06000 Bejaia, AlgeriaThe paper addresses monotonicity properties of the single server retrial queue with no waiting room and server subject to active breakdowns. The obtained results allow us to place in a prominent position the insensitive bounds for the stationary distribution of the embedded Markov chain related to the model in the study. Numerical illustrations are provided to support the results.http://dx.doi.org/10.1155/2014/985453
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Boualem
spellingShingle Mohamed Boualem
Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
Advances in Operations Research
author_facet Mohamed Boualem
author_sort Mohamed Boualem
title Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
title_short Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
title_full Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
title_fullStr Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
title_full_unstemmed Insensitive Bounds for the Stationary Distribution of a Single Server Retrial Queue with Server Subject to Active Breakdowns
title_sort insensitive bounds for the stationary distribution of a single server retrial queue with server subject to active breakdowns
publisher Hindawi Limited
series Advances in Operations Research
issn 1687-9147
1687-9155
publishDate 2014-01-01
description The paper addresses monotonicity properties of the single server retrial queue with no waiting room and server subject to active breakdowns. The obtained results allow us to place in a prominent position the insensitive bounds for the stationary distribution of the embedded Markov chain related to the model in the study. Numerical illustrations are provided to support the results.
url http://dx.doi.org/10.1155/2014/985453
work_keys_str_mv AT mohamedboualem insensitiveboundsforthestationarydistributionofasingleserverretrialqueuewithserversubjecttoactivebreakdowns
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