Annals of Operations Research

, Volume 153, Issue 1, pp 79–129

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
Open Access
Article

DOI: 10.1007/s10479-007-0178-0

Cite this article as:
Aardal, K.I., van Hoesel, S.P.M., Koster, A.M.C.A. et al. Ann Oper Res (2007) 153: 79. doi:10.1007/s10479-007-0178-0

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.

Keywords

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

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Karen I. Aardal
    • 1
  • Stan P. M. van Hoesel
    • 2
  • Arie M. C. A. Koster
    • 3
  • Carlo Mannino
    • 4
  • Antonio Sassano
    • 4
  1. 1.Centrum voor Wiskunde en Informatica (CWI)AmsterdamThe Netherlands
  2. 2.Department of Quantitative EconomicsUniversiteit MaastrichtMaastrichtThe Netherlands
  3. 3.Centre for Discrete Mathematics and its Applications (DIMAP)University of WarwickCoventryUK
  4. 4.Dipartimento di Informatica e SistemisticaUniversità di Roma “La Sapienza”RomaItaly

Personalised recommendations