Channel assignment using genetic algorithm based on geometric symmetry

The paper deals with the channel assignment problem in a hexagonal cellular network with two-band buffering, where channel interference does not extend beyond two cells. Here, for cellular networks with homogeneous demands, we find some lower bounds on the minimum bandwidth required for various relative values of s/sub 0/, s/sub 1/, and s/sub 2/, the minimum frequency separations to avoid interference for calls in the same cell, or in cells at distances of one and two, respectively. We then present an algorithm for solving the channel assignment problem in its general form using the elitist model of genetic algorithm (EGA). We next apply this technique to the special case of hexagonal cellular networks with two-band buffering. For homogeneous demands, we apply EGA for assigning channels to a small subset of nodes and then extend it for the entire cellular network, which ensures faster convergence. Moreover, we show that our approach is also applicable to cases of nonhomogeneous demands. Application of our proposed methodology to well-known benchmark problems generates optimal results within a reasonable computing time.

[1]  Nasser M. Nasrabadi,et al.  Cellular radio channel assignment using a modified Hopfield network , 1997 .

[2]  Chi Wan Sung,et al.  Sequential packing algorithm for channel assignment under cochannel and adjacent-channel interference constraint , 1997 .

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

[4]  Lata Narayanan,et al.  Static Frequency Assignment in Cellular Networks , 2001, Algorithmica.

[5]  Dong-wan Tcha,et al.  A new lower bound for the frequency assignment problem , 1997, TNET.

[6]  Ulrich Killat,et al.  A new strategy for the application of genetic algorithms to the channel-assignment problem , 1999 .

[7]  C. A. Murthy,et al.  In search of optimal clusters using genetic algorithms , 1996, Pattern Recognit. Lett..

[8]  Yoshiyasu Takefuji,et al.  A neural network parallel algorithm for channel assignment problems in cellular radio networks , 1992 .

[9]  Marimuthu Palaniswami,et al.  Static and Dynamic Channel Assignment Using Neural Networks , 1997, IEEE J. Sel. Areas Commun..

[10]  Tsz-Mei Ko.  A frequency selective insertion strategy for fixed channel assignment , 1994, 5th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Wireless Networks - Catching the Mobile Future..

[11]  Victor O. K. Li,et al.  Fixed channel assignment in cellular radio networks using a modified genetic algorithm , 1998 .

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

[13]  Goutam Chakraborty,et al.  An efficient heuristic algorithm for channel assignment problem in cellular radio networks , 2001, IEEE Trans. Veh. Technol..

[14]  Roberto Battiti,et al.  A randomized saturation degree heuristic for channel assignment in cellular radio networks , 2001, IEEE Trans. Veh. Technol..

[15]  Sanjeev Khanna,et al.  On wireless spectrum estimation and generalized graph coloring , 1998, Proceedings. IEEE INFOCOM '98, the Conference on Computer Communications. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies. Gateway to the 21st Century (Cat. No.98.

[16]  C. A. Murthy,et al.  Genetic Algorithm with Elitist Model and Its Convergence , 1996, Int. J. Pattern Recognit. Artif. Intell..

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

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

[19]  R. A. Leese.  A unified approach to the assignment of radio channels on a regular hexagonal grid , 1997 .

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

[21]  Seong-Lyun Kim,et al.  A two-phase algorithm for frequency assignment in cellular mobile systems , 1994 .

[22]  Nabanita Das,et al.  A New Approach to Efficient Channel Assignment for Hexagonal Cellular Networks , 2003, Int. J. Found. Comput. Sci..

[23]  Wei Wang,et al.  An adaptive local-search algorithm for the channel-assignment problem (CAP) , 1996 .

[24]  Nasser M. Nasrabadi,et al.  Channel assignment in cellular radio using genetic algorithms , 1996, Wirel. Pers. Commun..

[25]  Bhabani P. Sinha,et al.  On an optimal algorithm for channel assignment in cellular networks , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[26]  G. G. Coghill,et al.  Channel assignment through evolutionary optimization , 1996 .

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

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

[29]  Arunabha Sen,et al.  Upper and lower bounds of a class of channel assignment problems in cellular networks , 1998, Proceedings. IEEE INFOCOM '98, the Conference on Computer Communications. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies. Gateway to the 21st Century (Cat. No.98.

[30]  Dong-Wan Tcha,et al.  Perturbation-minimizing frequency assignment in a changing TDMA/FDMA cellular environment , 2000, IEEE Trans. Veh. Technol..