On the global stability of a peer-to-peer network model

O. Fogelklou; T. Konstantopoulos; W. Tucker

doi:10.1016/j.orl.2012.02.002

On the global stability of a peer-to-peer network model

O. Fogelklou, T. Konstantopoulos, W. Tucker

Research output: Contribution to journal › Article › Research › peer-review

Abstract

In this paper, we analyze the stability properties of a system of ordinary differential equations describing the thermodynamic limit of a microscopic and stochastic model for file sharing in a peer-to-peer network introduced by Kesidis et al. We show, under certain assumptions, that this BitTorrent-like system has a unique locally attracting equilibrium point which is also computed explicitly. Local and global stability are also shown.

Original language	English
Pages (from-to)	190-194
Number of pages	5
Journal	Operations Research Letters
Volume	40
Issue number	3
DOIs	https://doi.org/10.1016/j.orl.2012.02.002
Publication status	Published - 1 May 2012
Externally published	Yes

Keywords

Fixed points
Fluid limit
Global stability
Peer-to-peer networks
Stability

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10.1016/j.orl.2012.02.002

Cite this

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AU - Tucker, W.

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N2 - In this paper, we analyze the stability properties of a system of ordinary differential equations describing the thermodynamic limit of a microscopic and stochastic model for file sharing in a peer-to-peer network introduced by Kesidis et al. We show, under certain assumptions, that this BitTorrent-like system has a unique locally attracting equilibrium point which is also computed explicitly. Local and global stability are also shown.

AB - In this paper, we analyze the stability properties of a system of ordinary differential equations describing the thermodynamic limit of a microscopic and stochastic model for file sharing in a peer-to-peer network introduced by Kesidis et al. We show, under certain assumptions, that this BitTorrent-like system has a unique locally attracting equilibrium point which is also computed explicitly. Local and global stability are also shown.

KW - Fixed points

KW - Fluid limit

KW - Global stability

KW - Peer-to-peer networks

KW - Stability

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DO - 10.1016/j.orl.2012.02.002

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VL - 40

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EP - 194

JO - Operations Research Letters

JF - Operations Research Letters

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On the global stability of a peer-to-peer network model

Abstract

Keywords

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