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Performance Evaluation
Volume 58, Issues 2-3, November 2004, Pages 89-108
Distributed Systems Performance
 
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doi:10.1016/j.peva.2004.07.016    
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Copyright © 2004 Published by Elsevier B.V.

A Markov model of TCP throughput, goodput and slow start

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Sophie Fortin-ParisiE-mail The Corresponding Author and Bruno SericolaCorresponding Author Contact Information, E-mail The Corresponding Author

IRISA-INRIA, Campus de Beaulieu, 35042 Rennes Cedex, France


Available online 16 September 2004.

Abstract

This paper presents a discrete-time Markov chain model for TCP, the Transmission Control Protocol for reliable transport on the Internet. The purpose is the evaluation of stationary TCP flows behavior using performance measures such as the mean throughput. The model is based on previous works which are generalized by taking into account the slow start phases that appear after each time-out recovery, whose importance is discussed.

Keywords: TCP; Congestion control; Throughput; Markov chain; Slow start

Article Outline

1. Introduction
2. Description of TCP
3. The model
3.1. Definition
3.2. Cyclic behavior
3.3. The transition probabilities
4. Computation of the throughput
4.1. Residual rounds
4.2. TO-type losses proportion
4.3. Mean number of losses per cycle
4.4. The weight of residual rounds
4.5. Time-out study
4.6. Between two time-out periods
4.7. Numerical results
5. Computation of the goodput
5.1. Successfully transmitted segments
5.2. Numerical results
6. The importance of slow start
7. Conclusion
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Corresponding Author Contact InformationCorresponding author.

Performance Evaluation
Volume 58, Issues 2-3, November 2004, Pages 89-108
Distributed Systems Performance
 
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