This article is cited in 27 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.

PACS: 02.50.Fz

Presented by the member of Editorial Board: S. F. Yashkov

Received: 12.05.2009

 English version: Automation and Remote Control, 2009, 70:12, 2013–2023

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