Models and Solution Techniques for Frequency Assignment Problems
Ann Oper Res (2007) 153: 79–129 DOI 10.1007/s10479-007-0178-0 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 Published online: 12 May 2007 © Springer Science+Business Media, LLC 2007 Abstract Wireless communication is used in many different situations such as mobile tele- phony, radio and TV broadcasting, satellite communication, wireless LANs, and military operations. In each of these situations a frequency assignment problem arises with applica- tion 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 assign- ment 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 classi- fied 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. This is an updated version of a paper that appeared in 4OR 1, 261–317, 2003. K.I. Aardal Centrum voor Wiskunde en Informatica (CWI), P.O.
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