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 |
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Pages (from-to) | 190-194 |
Number of pages | 5 |
Journal | Operations Research Letters |
Volume | 40 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 May 2012 |
Externally published | Yes |
Keywords
- Fixed points
- Fluid limit
- Global stability
- Peer-to-peer networks
- Stability