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Effective bandwidths for a class of non Markovian fluid sources

Published: 01 October 1997 Publication History

Abstract

This paper proves the existence of and explicitly determines effective bandwidths for a class of non Markovian fluid source models, featuring multiple data-transmission rates and arbitrary distributions for the times these rates are sustained. The investigated models cover considerably more traffic profiles than the usual Markovian counterparts and have reduced state-space requirements. The effective bandwidth, as a function of the asymptotic loss probability decay rate, is implicitly derivable by the requirement that the spectral radius of an appropriate nonnegative matrix be equal to unity. The effective bandwidth function is shown to be, either strictly increasing, or constant and equal to the mean rate. Sources of the second kind, which are characterized, generalize the notion of 'CBR' traffic. Furthermore, a study for the limiting effective bandwidth, towards a loss-less environment, is undertaken; it is shown that the limiting value may, under some fully identified restrictions on the source behavior, be less than the source's peak rate. Under those restrictions, a source may have reduced bandwidth requirements, even if it features a large peak rate.

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        cover image ACM Conferences
        SIGCOMM '97: Proceedings of the ACM SIGCOMM '97 conference on Applications, technologies, architectures, and protocols for computer communication
        October 1997
        311 pages
        ISBN:089791905X
        DOI:10.1145/263105
        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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        Publication History

        Published: 01 October 1997

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        COMM97
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        COMM97: ACM SIGCOMM '97
        September 14 - 18, 1997
        Cannes, France

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        SIGCOMM '97 Paper Acceptance Rate 24 of 213 submissions, 11%;
        Overall Acceptance Rate 462 of 3,389 submissions, 14%

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        • (2012)A novel Effective Capacity-based framework for providing statistical QoS guarantees in IEEE 802.11 WLANsComputer Communications10.1016/j.comcom.2011.09.01235:2(249-262)Online publication date: Jan-2012
        • (2011)Effective-capacity-based stochastic delay guarantees for systems with time-varying servers, with an application to IEEE 802.11 WLANsPerformance Evaluation10.1016/j.peva.2011.03.01068:7(614-628)Online publication date: 1-Jul-2011
        • (2002)Traffic Control in ATM: A Review, an Engineer’s Critical View & a Novel ApproachPerformance Evaluation and Applications of ATM Networks10.1007/0-306-47023-3_6(141-172)Online publication date: 2002
        • (1997)Bandwidth management for guaranteeing transient loss performance of real-time communicationsGLOBECOM 97. IEEE Global Telecommunications Conference. Conference Record10.1109/GLOCOM.1997.644538(1680-1684)Online publication date: 1997
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