Models and Solution Techniques for Frequency Assignment Problems

Karen I. Aardal, Stan P.M. van Hoesel, Arie M.C.A. Koster, Carlo Mannino, Antonio Sassano

Research output: Contribution to journalArticleScientificpeer-review

153 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)79-129
Number of pages51
JournalAnnals of Operations Research
Issue number1
Publication statusPublished - 2007
Externally publishedYes


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

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    Aardal, K. I., van Hoesel, S. P. M., Koster, A. M. C. A., Mannino, C., & Sassano, A. (2007). Models and Solution Techniques for Frequency Assignment Problems. Annals of Operations Research, 153(1), 79-129.