The power of choice in random walks: An empirical study

Avin Chen, Bhaskar Krishnamachari

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

35 Scopus citations

Abstract

In recent years random-walk-based algorithms have been proposed for a variety of networking tasks. These proposals include searching, routing, self-stabilization, and query processing in wireless networks, peer-to-peer networks and other distributed systems. This approach is gaining popularity because random walks present locality, simplicity, low-overhead and inherent robustness to structural changes, In this work we propose and investigate an enhanced algorithm that we refer to as random walks with choice. In this algorithm, instead of selecting just one neighbor at each step, the walk moves to the next node after examining a small number of neighbors sampled at random. Our empirical results on random geometric graphs, the model best suited for wireless networks, suggest a significant improvement in important metrics such as the cover time and load-balancing properties of random walks. We also systematically investigate random walks with choice on networks with a square grid topology. For this case, our simulations indicate that there is an unbounded improvement in cover time even with a choice of only two neighbors. We also observe a large reduction in the variance of the cover time, and a significant improvement in visit load balancing.

Original languageEnglish
Title of host publicationACM MSWiM 2006 - Proceedings of the Ninth ACM Symposium on Modeling, Analysis and Simulation of Wireless and Mobile Systems
Pages219-228
Number of pages10
StatePublished - 16 Nov 2006
EventACM MSWiM 2006 - 9th ACM Symposium on Modeling, Analysis and Simulation of Wireless and Mobile Systems - Malaga, Spain
Duration: 2 Oct 20066 Oct 2006

Publication series

NameACM MSWiM 2006 - Proceedings of the 9th ACM Symposium on Modeling, Analysis and Simulation of Wireless and Mobile Systems
Volume2006

Conference

ConferenceACM MSWiM 2006 - 9th ACM Symposium on Modeling, Analysis and Simulation of Wireless and Mobile Systems
Country/TerritorySpain
CityMalaga
Period2/10/066/10/06

Keywords

  • Power of choice
  • Random walks
  • Wireless networks

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