Circular arrangements and cyclic broadcast scheduling

  • Authors:
  • Vincenzo Liberatore

  • Affiliations:
  • Division of Computer Science, Case Western Reserve University 10900 Euclid Avenue, Cleveland, OH

  • Venue:
  • Journal of Algorithms
  • Year:
  • 2004

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Abstract

Motivated by a scheduling problem in multicast environments, we consider the problem of arranging a weighted graph around a circle so as to minimize the total weighted arc length. We describe the first polynomial-time approximation algorithms for this problem, and specifically an O(log n)- approximation algorithm for undirected circular arrangements and an O(√n)-approximation algorithm for directed circular arrangements. We will also conduct an experimental evaluation of our algorithms and show that a simple heuristic has the best performance in simulations based on busy Web server logs.