NDLI: Multiplexing on-off sources with subexponential on periods

Content Provider	IEEE Xplore Digital Library
Author	Jelenkovic, P.R. Lazar, A.A.
Copyright Year	1997
Description	Author affiliation: Bell Lab., AT&T Bell Labs., Murray Hill, NJ, USA (Jelenkovic, P.R.)
Abstract	Consider an aggregate arrival process A/sup N/ obtained by multiplexing N on-off sources with exponential off periods of rate /spl lambda/ and subexponential on periods /spl tau//sup on/. For this process its activity period I/sup N/ satisfies P[I/sup N/>t]/spl sim/(1+/spl lambda/E/spl tau//sup on/)/sup N-1/P[/spl tau//sup on/>t] as t/spl rarr//spl infin/ for all sufficiently small /spl lambda/. When N goes to infinity, with /spl lambda/N/spl rarr//spl Lambda/, A/sup N/ approaches an M/G//spl infin/ type process, for which the activity period I/sup /spl infin//, or equivalently a busy period of an M/G//spl infin/ queue with subexponential service requirement /spl tau//sup on/, satisfies P[I/sup /spl infin//>t]/spl sim/e/sup /spl Lambda/Er(on)/P[/spl tau//sup on/>t] as t/spl rarr//spl infin/. For a simple subexponential on-off fluid flow queue we establish a precise asymptotic relation between the Palm queue distribution and the time average queue distribution. Further, a queueing system in which one on-off source, whose on period belongs to a subclass of subexponential distributions, is multiplexed with independent exponential sources with aggregate expected rate Ee/sub t/, is shown to be asymptotically equivalent to the same queueing system with the exponential arrival processes being replaced by their total mean value Ee/sub t/. For a fluid queue with the limiting M/G//spl infin/ arrivals we obtain a tight asymptotic lower bound for large buffer probabilities. Based on this bound, we suggest a computationally efficient approximation for the case of finitely many subexponential on-off sources. The accuracy of this approximation is verified with extensive simulation experiments.
Starting Page	187
Ending Page	195
File Size	841994
Page Count	9
File Format	PDF
ISBN	0818677805
ISSN	0743166X
DOI	10.1109/INFCOM.1997.635129
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-04-07
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bandwidth Queueing analysis Aggregates Fluid flow Laplace equations Traffic control H infinity control Computational modeling Multiplexing Communication networks
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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