On Node Isolation Under Churn in Unstructured P2P Networks with Heavy-Tailed Lifetimes

— Previous analytical studies [12], [18] of unstructured P2P resilience have assumed exponential user lifetimes and only considered age-independent neighbor replacement. In this paper, we overcome these limitations by introducing a general nodeisolation model for heavy-tailed user lifetimes and arbitrary neighbor-selection algorithms. Using this model, we analyze two age-biased neighbor-selection strategies and show that they significantly improve the residual lifetimes of chosen users, which dramatically reduces the probability of user isolation and graph partitioning compared to uniform selection of neighbors. In fact, the second strategy based on random walks on age-weighted graphs demonstrates that for lifetimes with infinite variance, the system monotonically increases its resilience as its age and size grow. Specifically, we show that the probability of isolation converges to zero as these two metrics tend to infinity. We finish the paper with simulations in finite-size g...

• Type: Conference
• Year: 2007
• Where: INFOCOM
• Authors: Zhongmei Yao, Xiaoming Wang, Derek Leonard, Dmitri Loguinov
• Keywords: Communications, Exponential User Lifetimes, Heavy-tailed User Lifetimes, INFOCOM 2007, User Lifetimes