An Algorithm with Better Approximation Ratio for Multicast Traffic in Unidirectional SONET/WDM Rings

  • Authors:
  • Jiguo Yu;Suxia Cui;Guanghui Wang

  • Affiliations:
  • School of Computer Science, Qufu Normal University at Ri-zhao, Shandong, China 276826;School of Computer Science, Qufu Normal University at Ri-zhao, Shandong, China 276826;School of Mathematics and System Science, Shandong University, Shandong, China 250100 and Laboratoire de Mathématiques Appliquées aux Systèmes, Ecole Centrale Paris, Châtenay-M ...

  • Venue:
  • COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
  • Year:
  • 2009

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Abstract

The goal for the problem of efficient grooming of given non-uniform multicast traffic demands on a unidirectional SONET/WDM ring is to try to minimize the network cost as given by (i) the number of wavelengths required per fiber and (ii) the number of electronic Add- Drop Multiplexers (ADMs) required in the ring. The problem with cost function (i) can be reduced to a corresponding traffic grooming problem for unicast traffic which can then be modeled as a standard circular-arc graph coloring problem.The function (ii) is a main research topic in recent studies.The problem is NP hard for both the cost functions. For the problem with fuction (ii), we present a algorithm with better approximation ratio, $ \frac{3}{2}(\frac{N}{{N - 1}} + 1)$. Additionally, we give a lower bound and upper bound for the number of ADMs.