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Models and solution techniques for frequency assignment problems

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  • Published: 12 May 2007
  • volume 153, pages 79–129 (2007)
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Models and solution techniques for frequency assignment problems
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  • Karen I. Aardal1,
  • Stan P. M. van Hoesel2,
  • Arie M. C. A. Koster3,
  • Carlo Mannino4 &
  • …
  • Antonio Sassano4 

  • 6411 Accesses

  • 171 Citations

  • 6 Altmetric

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Abstract

Wireless communication is used in many different situations such as mobile telephony, radio and TV broadcasting, satellite communication, wireless LANs, and military operations. In each of these situations a frequency assignment problem arises with application specific characteristics. Researchers have developed different modeling ideas for each of the features of the problem, such as the handling of interference among radio signals, the availability of frequencies, and the optimization criterion.

This survey gives an overview of the models and methods that the literature provides on the topic. We present a broad description of the practical settings in which frequency assignment is applied. We also present a classification of the different models and formulations described in the literature, such that the common features of the models are emphasized. The solution methods are divided in two parts. Optimization and lower bounding techniques on the one hand, and heuristic search techniques on the other hand. The literature is classified according to the used methods. Again, we emphasize the common features, used in the different papers. The quality of the solution methods is compared, whenever possible, on publicly available benchmark instances.

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Authors and Affiliations

  1. Centrum voor Wiskunde en Informatica (CWI), P.O. Box 94079, 1090 GB, Amsterdam, The Netherlands

    Karen I. Aardal

  2. Department of Quantitative Economics, Universiteit Maastricht, P.O. Box 616, 6200, MD, Maastricht, The Netherlands

    Stan P. M. van Hoesel

  3. Centre for Discrete Mathematics and its Applications (DIMAP), University of Warwick, Coventry, CV4 7AL, UK

    Arie M. C. A. Koster

  4. Dipartimento di Informatica e Sistemistica, Università di Roma “La Sapienza”, Via Buonarroti 12, 00185, Roma, Italy

    Carlo Mannino & Antonio Sassano

Authors
  1. Karen I. Aardal
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  2. Stan P. M. van Hoesel
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  3. Arie M. C. A. Koster
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  4. Carlo Mannino
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  5. Antonio Sassano
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Correspondence to Arie M. C. A. Koster.

Additional information

This is an updated version of a paper that appeared in 4OR 1, 261–317, 2003.

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Aardal, K.I., van Hoesel, S.P.M., Koster, A.M.C.A. et al. Models and solution techniques for frequency assignment problems. Ann Oper Res 153, 79–129 (2007). https://doi.org/10.1007/s10479-007-0178-0

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  • Published: 12 May 2007

  • Issue Date: September 2007

  • DOI: https://doi.org/10.1007/s10479-007-0178-0

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Keywords

  • Frequency assignment
  • Channel assignment
  • Wireless networks
  • Mathematical optimization models
  • Exact methods
  • Heuristics
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