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

被引:0
|
作者
Fogelklou, O. [1 ]
Konstantopoulos, T. [1 ]
Tucker, W. [1 ]
机构
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
关键词
Fluid limit; Peer-to-peer networks; Fixed points; Stability; Global stability;
D O I
10.1016/j.orl.2012.02.002
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
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. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:190 / 194
页数:5
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