We propose a new model for peer-to-peer networking which takes thenetwork bottlenecks into account beyond the access. This model allowsone to cope with the fact that distant peers often have a smaller ratethan nearby peers. We show that the spatial point process describingpeers in their steady state exhibits an interesting repulsionphenomenon. We study the implications of this phenomenon by analyzingtwo asymptotic regimes of the peer-to-peer network: the fluid regimeand the hard–core regime. We get closed form expressions for the mean(and in some cases the law) of the peer latency and the download rateobtained by a peer as well as for the spatial density of peers in thesteady state of each regime. The analytical results are based on a mixof mathematical analysis and dimensional analysis and have importantdesign implications.
This is a joint work with François Baccelli and Ilkka Norros