STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Chord: A scalable peer-to-peer lookup service for internet applications
Proceedings of the 2001 conference on Applications, technologies, architectures, and protocols for computer communications
Wide-area cooperative storage with CFS
SOSP '01 Proceedings of the eighteenth ACM symposium on Operating systems principles
Distributed object location in a dynamic network
Proceedings of the fourteenth annual ACM symposium on Parallel algorithms and architectures
Analysis of the evolution of peer-to-peer systems
Proceedings of the twenty-first annual symposium on Principles of distributed computing
Pastry: Scalable, Decentralized Object Location, and Routing for Large-Scale Peer-to-Peer Systems
Middleware '01 Proceedings of the IFIP/ACM International Conference on Distributed Systems Platforms Heidelberg
Novel architectures for P2P applications: the continuous-discrete approach
Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
A stochastic process on the hypercube with applications to peer-to-peer networks
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Building Low-Diameter P2P Networks
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Simple efficient load balancing algorithms for peer-to-peer systems
Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures
Balanced binary trees for ID management and load balance in distributed hash tables
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Decentralized algorithms using both local and random probes for P2P load balancing
Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures
Dynamic load balancing in distributed hash tables
IPTPS'05 Proceedings of the 4th international conference on Peer-to-Peer Systems
Simple efficient load balancing algorithms for peer-to-peer systems
IPTPS'04 Proceedings of the Third international conference on Peer-to-Peer Systems
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In Peer-to-Peer networks based on consistent hashing and ring topology each peer is responsible for an interval chosen (pseudo-) randomly on a circle. The topology of the network, the communication load and the amount of data a peer stores depends heavily on the length of its interval. Additionally, peers are allowed to join the network or to leave it at any time. Such operations can destroy the balance of the network even if all the intervals had equal lengths in the beginning. This paper deals with the task to keep such a system balanced, so that the lengths of intervals assigned to the peers differ at most by a constant factor. We propose a simple scheme which achieves this and its communication cost can be amortized against the cost of keeping the system connected. Our procedure requires O(logn) times more messages than any procedure maintaining the connectivity, even if the an oblivious adversary decides about the dynamics of the system. The scheme is a continuous process which does not have to be informed about the current size or possible imbalance in the network to start working. As a byproduct, we show how to compute a constant approximation of the current number of nodes n in the system, provided that we know an upper bound on logn.