John R. Douceur, Jacob R. Lorch, and Thomas Moscibroda
Motivated by an application in distributed gaming, we define and study the latency-constrained total upload maximization problem. In this problem, a peer-to-peer overlay network is modeled as a complete graph and each node vi has an upload bandwidth capacity ci and a set of receivers R(i). Each sender-receiver pair (vi, vj), where vj ∈ R(i), is a request that should be satisfied, i.e., vi should send a data packet to each vj ∈ R(i). The goal is to find a set of at most n multicast-trees Ti of depth at most 2, such that each node can be part of multiple trees, all capacity constraints are met, and the number of satisfied requests is maximized. In this paper, we prove that the problem is NP-complete, and we present an algorithm with approximation ratio 1 − 2/√cmin, where cmin is the minimum upload capacity. Finally, we also study the impact of network coding on the quality and approximability of the solution.
|Published in||Proceedings of the 19th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)|
|Address||San Diego, CA|
|Publisher||Association for Computing Machinery, Inc.|
Copyright © 2007 by the Association for Computing Machinery, Inc. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, to republish, to post on servers, or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from Publications Dept, ACM Inc., fax +1 (212) 869-0481, or firstname.lastname@example.org. The definitive version of this paper can be found at ACM’s Digital Library --http://www.acm.org/dl/.