Effective bandwidths for a class of non markovian fluid sources

Kontovasilis, K; Mitrou, N

dc.contributor.author	Kontovasilis, K	en
dc.contributor.author	Mitrou, N	en
dc.date.accessioned	2014-03-01T01:12:48Z
dc.date.available	2014-03-01T01:12:48Z
dc.date.issued	1997	en
dc.identifier.issn	01464833	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12251
dc.subject	Data Transmission	en
dc.subject	Decay Rate	en
dc.subject	Effective Bandwidth	en
dc.subject	Loss Probability	en
dc.subject	Nonnegative Matrix	en
dc.subject	Spectral Radius	en
dc.subject	State Space	en
dc.subject.other	Data communication systems	en
dc.subject.other	Functions	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Resource allocation	en
dc.subject.other	State space methods	en
dc.subject.other	Telecommunication traffic	en
dc.subject.other	Bandwidth	en
dc.subject.other	Congestion control (communication)	en
dc.subject.other	Markov processes	en
dc.subject.other	Mathematical models	en
dc.subject.other	Probability	en
dc.subject.other	Non Markovian fluid source	en
dc.subject.other	Asymptotic loss probability decay rate	en
dc.subject.other	Non Markovian fluid source models	en
dc.subject.other	Bandwidth	en
dc.subject.other	Data communication systems	en
dc.title	Effective bandwidths for a class of non markovian fluid sources	en
heal.type	journalArticle	en
heal.identifier.primary	10.1145/263109.263177	en
heal.identifier.secondary	http://dx.doi.org/10.1145/263109.263177	en
heal.publicationDate	1997	en
heal.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, tinder 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.	en
heal.journalName	Computer Communication Review	en
dc.identifier.doi	10.1145/263109.263177	en
dc.identifier.volume	27	en
dc.identifier.issue	4	en
dc.identifier.spage	263	en
dc.identifier.epage	274	en