NDLI: On Lifetime-Based Node Failure and Stochastic Resilience of Decentralized Peer-to-Peer Networks

Content Provider	IEEE Xplore Digital Library
Author	Leonard, D. Zhongmei Yao Rai, V. Loguinov, D.
Copyright Year	1993
Abstract	To model P2P networks that are commonly faced with high rates of churn and random departure decisions by end-users, this paper investigates the resilience of random graphs to lifetime-based node failure and derives the expected delay before a user is forcefully isolated from the graph and the probability that this occurs within his/her lifetime. Using these metrics, we show that systems with heavy-tailed lifetime distributions are more resilient than those with light-tailed (e.g., exponential) distributions and that for a given average degree, k-regular graphs exhibit the highest level of fault tolerance. As a practical illustration of our results, each user in a system with n = 100 billion peers, 30-minute average lifetime, and 1-minute node-replacement delay can stay connected to the graph with probability 1 - 1/n using only 9 neighbors. This is in contrast to 37 neighbors required under previous modeling efforts. We finish the paper by observing that many P2P networks are almost surely (i.e., with probability 1 - o(1)) connected if they have no isolated nodes and derive a simple model for the probability that a P2P system partitions under churn.
Sponsorship	IEEE Computer Society IEEE Communications Society Association for Computing Machinery (ACM)
Starting Page	644
Ending Page	656
Page Count	13
File Size	776000
File Format	PDF
ISSN	10636692
Volume Number	15
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Peer to peer computing Stochastic processes Resilience Routing Failure analysis Computer science Fault tolerant systems Mathematics Delay systems Fingers user isolation Lifetime node failure network disconnection peer-to-peer networks stochastic resilience
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Electrical and Electronic Engineering Computer Science Applications Software

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