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A new technique for analyzing large traffic systems

Published online by Cambridge University Press:  01 July 2016

Alan Weiss
Alan Weiss*
Affiliation:
AT&T Bell Laboratories
*
∗Postal address: AT&T Bell Laboratories, Murray Hill, NJ 07974, USA.
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Abstract

This paper presents a new technique for analyzing the frequency of a very large class of rare events in large traffic systems. The method is based on the theory of large deviations. If n is a large parameter, typically the number of potential traffic sources, then where I is the solution to an associated variational problem. We present a new analysis of a previously solved system as well as an analysis of a previously intractable system. As by-products of our analysis, we obtain estimates of the transient behavior of the system, and show how they may be used in analyzing some flow control schemes.

Keywords

QUEUINGLARGE DEVIATIONSEXTREME VALUES
Type
Research Article
Information
Advances in Applied Probability , Volume 18 , Issue 2 , June 1986 , pp. 506 - 532
Copyright
Copyright © Applied Probability Trust 1986 

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