Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

On the stability of dynamic diffusion load balancing.

Berenbrink, P. and Friedetzky, T. and Martin, R. (2008) 'On the stability of dynamic diffusion load balancing.', Algorithmica., 50 (3). pp. 329-350.

Abstract

We consider the problem of dynamic load balancing in arbitrary (connected) networks on n nodes. Our load generation model is such that during each round, n tasks are generated on arbitrary nodes, and then (possibly after some balancing) one task is deleted from every non-empty node. Notice that this model fully saturates the resources of the network in the sense that we generate just as many new tasks per round as the network is able to delete. We show that even in this situation the system is stable, in that the total load remains bounded (as a function of n alone) over time. Our proof only requires that the underlying “communication” graph be connected. (It of course also works if we generate less than n new tasks per round, but the major contribution of this paper is the fully saturated case.) We further show that the upper bound we obtain is asymptotically tight (up to a moderate multiplicative constant) by demonstrating a corresponding lower bound on the system load for the particular example of a linear array (or path). We also show some simple negative results (i.e., instability) for work-stealing based diffusion-type algorithms in this setting.

Item Type:Article
Full text:PDF - Accepted Version (222Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s00453-007-9081-y
Publisher statement:The original publication is available at www.springerlink.com
Record Created:24 Oct 2008
Last Modified:13 Sep 2011 14:09

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Usage statisticsLook up in GoogleScholar | Find in a UK Library