Optimal Solutions for Frequency Assignment Problems via Tree Decomposition

  • Authors:
  • Arie M. C. A. Koster;Stan P. M. van Hoesel;Antoon W. J. Kolen

  • Affiliations:
  • -;-;-

  • Venue:
  • WG '99 Proceedings of the 25th International Workshop on Graph-Theoretic Concepts in Computer Science
  • Year:
  • 1999

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Abstract

In this paper we describe a computational study to solve hard frequency assignment problems (FAPs) to optimality using a tree decomposition of the graph that models interference constraints. We present a dynamic programming algorithm which solves FAPs based on this tree decomposition. With the use of several dominance and bounding techniques it is possible to solve small and medium-sized real-life instances of the frequency assignment problem to optimality. Moreover, with an iterative version of the algorithm we obtain good lower bounds for large-sized instances within reasonable time and memory limits.