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Convex stability and asymptotic convex ordering for non-stationary arrival processes

Published: 01 March 2001 Publication History

Abstract

The notion of convex stability for a sequence of non-negative random variables is discussed in the context of several applications.

References

[1]
L. Kuang, Burst Reduction Properties of the Leaky Bucket and the Calculus of Burstiness, Ph.D. Thesis, Electrical Engineering Department, University of Maryland, College Park, MD 20742.
[2]
L. Kuang, "On the variance reduction property of the buffered leaky bucket," IEEE Transactions on CommunicationsCOM-42, pp. 2670-2671.
[3]
A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, Academic Press, New York (NY), 1979.
[4]
D. Stoyan, Comparison Methods for Queues and Other Stochastic Models, English Translation (D. J. Daley, Editor), J. Wiley & Sons, New York (NY), 1984.

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 28, Issue 4
March 2001
42 pages
ISSN:0163-5999
DOI:10.1145/544397
Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 March 2001
Published in SIGMETRICS Volume 28, Issue 4

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