Balancing Traffic Load Using One-Turn Rectilinear Routing

  • Stephane Durocher
  • Evangelos Kranakis
  • Danny Krizanc
  • Lata Narayanan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4978)

Abstract

We consider the problem of load-balanced routing, where a dense network is modelled by a continuous square region and origin and destination nodes correspond to pairs of points in that region. The objective is to define a routing policy that assigns a continuous path to each origin-destination pair while minimizing the traffic, or load, passing through any single point. While the average load is minimized by straight-line routing, such a routing policy distributes the load non-uniformly, resulting in higher load near the center of the region. We consider one-turn rectilinear routing policies that divert traffic away from regions of heavier load, resulting in up to a 33% reduction in the maximum load while simultaneously increasing the path lengths by an average of less than 28%. Our policies are simple to implement, being both local and oblivious. We provide a lower bound that shows that no one-turn rectilinear routing policy can reduce the maximum load by more than 39% and we give a polynomial-time procedure for approximating the optimal randomized policy.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Stephane Durocher
    • 1
  • Evangelos Kranakis
    • 2
  • Danny Krizanc
    • 3
  • Lata Narayanan
    • 4
  1. 1.School of Computer ScienceUniversity of WaterlooWaterlooCanada
  2. 2.School of Computer ScienceCarleton UniversityOttawaCanada
  3. 3.Department of Mathematics and Computer ScienceWesleyan UniversityUSA
  4. 4.Department of Computer ScienceConcordia UniversityMontréalCanada

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