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Performance Evaluation
Volume 58, Issue 1, October 2004, Pages 15-23
 
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doi:10.1016/j.peva.2004.05.001    
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Copyright © 2004 Elsevier B.V. All rights reserved.

Traffic conditioner: upper bound for the spacer overflow probability

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Nathalie OmnèsCorresponding Author Contact Information, a, Corresponding Author Contact Information, E-mail The Corresponding Author, Annie GraveyE-mail The Corresponding Author, b and Raymond MarieE-mail The Corresponding Author, c

a Mitsubishi Electric ITE TCL, 1, allée de Beaulieu, CS 10 806, 35 708, Rennes Cedex 7, France

b Département informatique, ENST Bretagne, Technopole de Brest Iroise, B.P. 832, 28 285, Brest Cedex, France

c Equipe ARMOR, IRISA, Campus universitaire de Beaulieu, 35 042, Rennes Cedex, France


Received 3 December 2002; 
Revised 19 November 2003. 
Available online 20 July 2004.

Abstract

The current challenge for telecommunication networks is to offer new types of services. To achieve this, somehow traffic has to be conditioned. A spacer is a token bucket traffic conditioner that reshapes flows according to a periodic profile. Packets are delayed until they can be inserted according to this profile.

This short paper concentrates on packet discard by overflow in the spacer. An upper bound for the overflow probability is given, valid even when it is fully loaded. It shows the ratio of discarded packets is of the same order than the ratio of out-of-profile packets.

Author Keywords: Traffic conditioning; Leaky bucket; Analytical model; Upper bound; Loss probability

Article Outline

1. Introduction
2. Assumptions and formal description
3. Study of the overflow probability
3.1. Preliminaries
3.2. Upper bound in a stochastic context
3.3. Upper bound in a deterministic context
4. Conclusion
Appendix A
A.1. Proof of Proposition 1
A.2. Proof of Proposition 3
References
Vitae


Corresponding Author Contact InformationCorresponding author. Tel.: +33-223-45-58-34; fax: +33-223-45-58-59.


Performance Evaluation
Volume 58, Issue 1, October 2004, Pages 15-23
 
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