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Frequency assignment in cellular phone networks

Author

Listed:
  • R. Borndörfer
  • A. Eisenblätter
  • M. Grötschel
  • A. Martin

Abstract

We present a graph-theoretic model for the frequency assignment problem in cellular phone networks. Obeying several technical and legal restrictions, frequencies have to be assigned to transceivers so that interference is as small as possible. This optimization problem is NP-hard. Good approximation cannot be guaranteed unless P=NP. We describe several assignment heuristics. These heuristics are simple and not too hard to implement. We give an assessment of the heuristics' efficiency and practical usefulness. For this purpose, typical instances of frequency assignment problems with up to 4240 transceivers and 75 frequencies of a German cellular phone network operator are used. The results are satisfying from a practitioner's point of view. The best performing heuristics were integrated into a network planning system used in practice. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • R. Borndörfer & A. Eisenblätter & M. Grötschel & A. Martin, 1998. "Frequency assignment in cellular phone networks," Annals of Operations Research, Springer, vol. 76(0), pages 73-93, January.
    • Handle: RePEc:spr:annopr:v:76:y:1998:i:0:p:73-93:10.1023/a:1018908907763
    DOI: 10.1023/A:1018908907763
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    Citations

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    Cited by:

    1. Karen Aardal & Stan Hoesel & Arie Koster & Carlo Mannino & Antonio Sassano, 2007. "Models and solution techniques for frequency assignment problems," Annals of Operations Research, Springer, vol. 153(1), pages 79-129, September.
    2. Koster, Arie & van Hoesel, C.P.M. & Kolen, A.W.J., 1999. "Solving frequency assignment problems via tree-decomposition," Research Memorandum 011, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Fischetti, Matteo & Lepschy, Chiara & Minerva, Giuseppe & Romanin-Jacur, Giorgio & Toto, Ema, 2000. "Frequency assignment in mobile radio systems using branch-and-cut techniques," European Journal of Operational Research, Elsevier, vol. 123(2), pages 241-255, June.
    4. Koster A.M.C.A. & Hoesel S.P.M. van & Kolen A.W.J., 1999. "Solving frequency assignment problems via tree-decomposition," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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