Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142507 | Operations Research Letters | 2012 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
O. Fogelklou, T. Konstantopoulos, W. Tucker,