Some reflections on the renewal-theory paradox in queueing theory.
Cooper, Robert B., Niu, Shun-Chen, Srinivasan, Mandyam M. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Cooper, Robert B., Niu, Shun-Chen, Srinivasan, Mandyam M. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Babitsky, Alexander V. (1997)
Mathematical Problems in Engineering
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V. Jailaxmi, R. Arumuganathan, M. Senthil Kumar (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.
Jau-Chuan Ke (2004)
The Yugoslav Journal of Operations Research
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Kumar, M.Senthil, Arumuganathan, R. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Gupta, U.C., Banik, A.D., Pathak, S.S. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Gupta, U.C., Sikdar, Karabi (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Lee, Ho Woo, Lee, Soon Seok, Chae, K.C. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dshalalow, Jewgeni H. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dshalalow, Jewgeni H., Yellen, Jay (1996)
Mathematical Problems in Engineering
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Jau-Chuan Ke, Kuo-Hsiung Wang (2003)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the policy. The arrival rate varies according to the server’s status: off, startup, busy, or breakdown. While the server is working, he is subject to breakdowns according...
Muh, David C.R. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Ernest Koenigsberg (1985)
RAIRO - Operations Research - Recherche Opérationnelle
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Alfa, Attahiru Sule, Dolhun, K.Laurie, Chakravarthy, S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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