Asymptotically optimal geometric mobile ad-hoc routing

  • Authors:
  • Fabian Kuhn;Rogert Wattenhofer;Aaron Zollinger

  • Affiliations:
  • ETH Zurich, Zurich, Switzerland;ETH Zurich, Zurich, Switzerland;ETH Zurich, Zurich, Switzerland

  • Venue:
  • DIALM '02 Proceedings of the 6th international workshop on Discrete algorithms and methods for mobile computing and communications
  • Year:
  • 2002

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Abstract

In this paper we present AFR, a new geometric mobile ad-hoc routing algorithm. The algorithm is completely distributed; nodes need to communicate only with direct neighbors in their transmission range. We show that if a best route has cost c, AFR finds a route and terminates with cost &Ogr;(c2) in the worst case. AFR is the first algorithm with cost bounded by a function of the optimal route. We also give a tight lower bound by showing that any geometric routing algorithm has worst-case cost $Ogr;(c2). Thus AFR is asymptotically optimal. We give a non-geometric algorithm that also matches the lower bound, but needs some memory at each node. This establishes an intriguing trade-off between geometry and memory.