ON MULTI-CHANNEL QUEUEING SYSTEMS WITH FLUCTUATING PARAMETERS.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationProceedings - IEEE INFOCOM
PublisherInstitute of Electrical and Electronics Engineers, Inc.
Pages600-608
ISBN (print)818606940
Publication statusPublished - 1986
Externally publishedYes

Publication series

Name
ISSN (electronic)0743-166X

Link(s)

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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0022584505&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(1d90c37d-533d-4499-b1c9-89def4b16738).html

Abstract

The authors deal with a generalization of the classical M/M/K and M/M/ infinity queuing models, where the arrival and service rates fluctuate concurrently, based on the mode of the queuing system. The queuing system can be either in a heavy traffic mode (mode 1) or in a light traffic mode (mode 0). The expectation and variance of the queue size steady-state distribution are derived for both models. The performance of both queuing systems under traffic activity limiting (extreme) conditions is demonstrated. It is shown that for the case where the traffic intensity of one mode is greater than one (even if the average traffic intensity is arbitrarily small) the average queue size approaches infinity as the fluctuations between modes get more and more infrequent. However, for the case where the traffic intensity is less than one for both modes (including the case involving an infinite number of servers) the queue size is not as dependent on the rate of fluctuation between modes.

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Publication fingerprints text

100
Queue Size Mathematics
100
Queueing System Mathematics
100
Traffic Intensity Mathematics
100
Multichannel Engineering
100
Infinite Number Engineering
100
Extreme Condition Engineering
100
queuing system Computer Science
33
Variance Mathematics
33
Service Rate Mathematics
33
State Distribution Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
ON MULTI-CHANNEL QUEUEING SYSTEMS WITH FLUCTUATING PARAMETERS. / Zukerman, Moshe; Rubin, Izhak.
Proceedings - IEEE INFOCOM. Institute of Electrical and Electronics Engineers, Inc., 1986. p. 600-608.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review