On the global stability of a peer-to-peer network model
2012 (English)In: Operations Research Letters, ISSN 0167-6377, E-ISSN 1872-7468, Vol. 40, no 3, 190-194 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2012. Vol. 40, no 3, 190-194 p.
Fluid limit, Peer-to-peer networks, Fixed points, Stability, Global stability
IdentifiersURN: urn:nbn:se:uu:diva-316665DOI: 10.1016/j.orl.2012.02.002ISI: 000303485800009OAI: oai:DiVA.org:uu-316665DiVA: diva2:1078714