A two-phase algorithm for frequency assignment in cellular mobile systems

In this paper, we consider the frequency assignment problem (FAP) in a cellular mobile communication system under the assumption that there is no channel interference between two cells separated by more than a certain distance. This special structure is observed in most cellular systems. To handle the considered FAP, we use the pattern approach which fits naturally to the problem. Based on this approach, we are able to formulate the considered FAP into a manageable optimization problem and propose a two-phase heuristic algorithm for the problem. Computational experiments show that our algorithm performs much better in both solution quality and computational time than the recently developed algorithms for FAP. Since the considered FAP well reflects most cellular systems, our algorithm can be applied to many practical situations. >

[1]  J. Zoeliner,et al.  A Breakthrough in Spectrum Conserving Frequency Assignment Technology , 1977, IEEE Transactions on Electromagnetic Compatibility.

[2]  Laurence A. Wolsey,et al.  Integer and Combinatorial Optimization , 1988, Wiley interscience series in discrete mathematics and optimization.

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

[4]  K. Raith,et al.  Capacity of digital cellular TDMA systems , 1991 .

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

[6]  V. H. Mac Donald,et al.  Advanced mobile phone service: The cellular concept , 1979, The Bell System Technical Journal.

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

[8]  David S. Johnson,et al.  The Complexity of Near-Optimal Graph Coloring , 1976, J. ACM.

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

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

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