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Performance Evaluation
Volume 63, Issue 3, March 2006, Pages 149-174
P2P Computing Systems
 
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doi:10.1016/j.peva.2005.01.001    
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Copyright © 2005 Elsevier B.V. All rights reserved.

Analysis of resource transfers in peer-to-peer file sharing applications using fluid models

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R. GaetaCorresponding Author Contact Information, E-mail The Corresponding Author, M. GribaudoE-mail The Corresponding Author, D. ManiniE-mail The Corresponding Author and M. SerenoE-mail The Corresponding Author

Dipartimento di Informatica, Università di Torino, Corso Svizzera 185, 1049 Torino, Italy


Available online 17 March 2005.

Abstract

This paper proposes a stochastic fluid flow model to compute the transfer time distribution of resources in peer-to-peer file sharing applications. The amount of bytes transferred among peers is represented by a continuous quantity (the fluid level) whose flow rate is modulated by a set of discrete states representing the concurrent upload and download operations on the peers participating to the transfer. A transient solution of the model is then performed to compute the probability that a peer can download a given resource in less than t units of time as a function of several system parameters. In particular, the impact of file popularity, bandwidth characteristics, concurrent downloads and uploads, cooperation level among peers, and user behavior are included in our model specification.

We also provide numerical results aiming at proving the potentialities of the approach we adopted as well as to investigate interesting issues related to the effect of incentive mechanisms on the user cooperation.

Keywords: Peer-to-peer; File sharing; Stochastic fluid models; Analytical model; Transfer time distribution

Article Outline

1. Introduction
2. Related work
3. Stochastic fluid flow models
4. Parameters that dominate the transfer phase in P2P networks
5. Model description
5.1. The stochastic fluid model
5.2. Removing the initial state dependency
5.3. Removing the dependence on the s_peer bandwidth
5.4. Model extensions
5.4.1. Parallel download
5.4.2. More general peer characteristics
6. Numerical analysis
6.1. The c_peer bandwidth and the resource popularity
6.2. The P2P network load
6.3. The user behavior
7. Conclusions
Acknowledgements
Appendix A. Model construction
References
Vitae







Corresponding Author Contact InformationCorresponding author. Tel.: +39 011 670 67 70; fax: +39 011 75 16 03.

Performance Evaluation
Volume 63, Issue 3, March 2006, Pages 149-174
P2P Computing Systems
 
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