Formulation and Computationally Efficient Algorithms for an Interference-Oriented Version of the Frequency Assignment Problem

The frequency assignment problem will maintain its importance for several years, since future versions of legacy cellular systems, e.g., those of GSM, will continue to exist. This paper elaborates on an interference-oriented version of the frequency assignment problem. The objective function is associated with the interference levels that are imposed by the frequency allocation, while the constraints are related to the allocation of the frequencies required in each cell and the prevention of some unacceptable interference situations. The problem is formally stated, mathematically formulated and solved by means of computationally efficient heuristics. Finally, results are obtained and concluding remarks are made.

[1]  D. Kunz,et al.  Channel assignment for cellular radio using neural networks , 1991 .

[2]  Dietmar Kunz,et al.  Channel assignment for cellular radio using simulated annealing , 1993 .

[3]  Francesco Delli Priscoli,et al.  Application of Dynamic Channel Allocation Strategies to the GSM Cellular Network , 1997, IEEE J. Sel. Areas Commun..

[4]  F. Box,et al.  A heuristic technique for assigning frequencies to mobile radio nets , 1978, IEEE Transactions on Vehicular Technology.

[5]  S. Tekinay,et al.  Handover and channel assignment in mobile cellular networks , 1991, IEEE Communications Magazine.

[6]  Geoffrey C. Fox,et al.  A Comparison of Annealing Techniques for Academic Course Scheduling , 1997, PATAT.

[7]  Giovanni Colombo,et al.  UMTS: fixed network issues and design options , 1995, IEEE Wirel. Commun..

[8]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[9]  Qi Hao,et al.  A Low-Cost Cellular Mobile Communication System: A Hierarchical Optimization Network Resource Planning Approach , 1997, IEEE J. Sel. Areas Commun..

[10]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[11]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[12]  Ming Zhang,et al.  The nonuniform compact pattern allocation algorithm cellular mobile systems , 1991 .

[13]  H. Panzer,et al.  Strategies for handover and dynamic channel allocation in micro-cellular mobile radio systems , 1989, IEEE 39th Vehicular Technology Conference.

[14]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[15]  Scott Kirkpatrick,et al.  Optimization by simulated annealing: Quantitative studies , 1984 .

[16]  Panagiotis Demestichas,et al.  Traffic-adaptive aggregate channel allocation for future cellular communication systems , 1998, Int. J. Commun. Syst..

[17]  A. Gamst,et al.  Computational complexity of some interference graph calculations (mobile radio) , 1990 .

[18]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[19]  Mansoor Shafi,et al.  EDGE: Enhanced Data Rates for GSM and TDMA/136 Evolution , 2002 .

[20]  W. K. Hale Frequency assignment: Theory and applications , 1980, Proceedings of the IEEE.

[21]  William C. Y. Lee,et al.  Mobile Cellular Telecommunications Systems , 1989 .

[22]  A. Gamst,et al.  Some lower bounds for a class of frequency assignment problems , 1986, IEEE Transactions on Vehicular Technology.

[23]  Nostrand Reinhold,et al.  the utility of using the genetic algorithm approach on the problem of Davis, L. (1991), Handbook of Genetic Algorithms. Van Nostrand Reinhold, New York. , 1991 .

[24]  Chien-Chao Tseng,et al.  Registration area planning for PCS networks using genetic algorithms , 1998 .

[25]  Masakazu Sengoku,et al.  Graph theoretical considerations of channel offset systems in a cellular mobile system , 1991 .

[26]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1992, Artificial Intelligence.

[27]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[28]  Kenneth Steiglitz,et al.  Combinatorial Optimization: Algorithms and Complexity , 1981 .

[29]  A. Gamst,et al.  Homogeneous distribution of frequencies in a regular hexagonal cell system , 1982, IEEE Transactions on Vehicular Technology.

[30]  Rudolf Mathar,et al.  Channel assignment in cellular radio networks , 1993 .

[31]  Michael E. Theologou,et al.  Adaptive radio spectrum allocation through mid-term reconfigurations for cellular communications systems , 1999, Comput. Commun..

[32]  Michael de la Maza,et al.  Book review: Genetic Algorithms + Data Structures = Evolution Programs by Zbigniew Michalewicz (Springer-Verlag, 1992) , 1993 .

[33]  Thomas Haug,et al.  The GSM System for Mobile Communications , 1992 .

[34]  Håkan Granbohm,et al.  GPRS—General packet radio service , 1999 .

[35]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[36]  David J. Goodman,et al.  General packet radio service in GSM , 1997, IEEE Commun. Mag..

[37]  M. W. Oliphant,et al.  An introduction to GSM , 1995 .

[38]  George Calhoun Digital Cellular Radio , 1988 .

[39]  Emile H. L. Aarts,et al.  Simulated annealing and Boltzmann machines - a stochastic approach to combinatorial optimization and neural computing , 1990, Wiley-Interscience series in discrete mathematics and optimization.

[40]  Juha Rapeli,et al.  UMTS: targets, system concept, and standardization in a global framework , 1995, IEEE Wirel. Commun..

[41]  Mahmoud Naghshineh,et al.  Channel assignment schemes for cellular mobile telecommunication systems: A comprehensive survey , 1996 .

[42]  M. Callendar IMT-2000 standards efforts of ITU , 1997 .

[43]  R.J. McEliece,et al.  Channel assignment in cellular radio , 1989, IEEE 39th Vehicular Technology Conference.