Sojourn time problems in feedback queues

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1989 English Publisher:Springer Science and Business Media LLCJournal:Queueing Systems, volume 5, pages 55-75 (issn: 0257-0130, eissn: 1572-9443,

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Authors: J. J. Hunter;

doi: 10.1007/bf01149186

Sojourn time problems in feedback queues

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Abstract

The paper develops the theory behind the determination of the sojourn time distribution in a Markov renewal queue with state dependent feedback and applies these results to the special case of a birth-death queue. For the latter, an alternative derivation utilizing the theory of first passage time distributions in continuous-time Markov chains is also presented. Particular cases involving finite system capacities of \(N=1\) and 2 are also considered.

Related Organizations

University of Auckland
New Zealand

Keywords

Markov renewal queue, birth-death queue, sojourn time distribution, Queues and service in operations research, Queueing theory (aspects of probability theory)

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