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Avtomatika i Telemekhanika, 2009, Issue 12, Pages 81–91
(Mi at576)
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This article is cited in 25 scientific papers (total in 25 papers)
Classical Models of the Queuing Theory and Generalizations
On the slow server problem
V. V. Rykov, D. V. Efrosinin Peoples Friendship University, Moscow, Russia
Abstract:
In this paper the problem of optimal control over a Markov queueing system with heterogeneous servers and
a joint queue is considered, which is also known in the literature as “the slow server problem”. The classical model is generalized here to the case with delay and call serving penalties. It is proved here that the optimal control policy for servers' activating is of monotonic and threshold nature.
Citation:
V. V. Rykov, D. V. Efrosinin, “On the slow server problem”, Avtomat. i Telemekh., 2009, no. 12, 81–91; Autom. Remote Control, 70:12 (2009), 2013–2023
Linking options:
https://www.mathnet.ru/eng/at576 https://www.mathnet.ru/eng/at/y2009/i12/p81
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Statistics & downloads: |
Abstract page: | 337 | Full-text PDF : | 123 | References: | 48 | First page: | 7 |
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