An Approach to Wide Area WDM Optical Network Design Using Genetic Algorithm

This article presents a systemic method to generate and map an optimal virtual topology onto a certain physical wide area optical fiber network so as to maximize the scaleup which provides an estimate of the network throughput. The problem is to find the best possible virtual topology over a given wavelength-routed all-optical physical topology for wide area coverage. The physical topology consists of wavelength-routing nodes interconnected by fiber links in the network. The virtual topology consists of a set of lightpaths. For a given physical topology and traffic matrix, our objective is to maximize the throughput as well as to minimize the delay. We have also studied the scalability of various parameters, such as queuing delay, propagation delay and average-hop-distance, with increase in throughput. We present a heuristic algorithm for embedding a virtual topology to the given physical fiber network when the number of wavelength channels supported on each fiber is limited. A number of feasible virtual topologies are generated randomly using Prufer number method, and the optimum one is selected. The problem being computationally intractable, we use genetic algorithm (GA)for optimization. As GAs are expected to converge to globally optimal solutions, the proposed approach yields better solutions than previous ones. As a result of immense practical importance of the issues addressed in this work, the algorithms are expected to be significant for practitioners.

[1]  Narsingh Deo,et al.  Graph Theory with Applications to Engineering and Computer Science , 1975, Networks.

[2]  Robert Cole,et al.  Computer Communications , 1982, Springer New York.

[3]  Bülent Yener,et al.  A study of upper and lower bounds for minimum congestion routing in lightwave networks , 1994, Proceedings of INFOCOM '94 Conference on Computer Communications.

[4]  Cesare Alippi,et al.  Genetic-algorithm programming environments , 1994, Computer.

[5]  Biswanath Mukherjee,et al.  Some principles for designing a wide-area optical network , 1994, Proceedings of INFOCOM '94 Conference on Computer Communications.

[6]  Weibo Gong,et al.  Wavelength assignment in multihop lightwave networks , 1993, IEEE INFOCOM '93 The Conference on Computer Communications, Proceedings.

[7]  Moshe Sidi,et al.  Topological design of local-area networks using genetic algorithms , 1996, TNET.

[8]  Zhensheng Zhang,et al.  A heuristic wavelength assignment algorithm for multihop WDM networks with wavelength routing and wavelength re-use , 1995, TNET.

[9]  Biswanath Mukherjee,et al.  Some principles for designing a wide-area WDM optical network , 1996, TNET.

[10]  Biswanath Mukherjee,et al.  A Practical Approach for Routing and Wavelength Assignment in Large Wavelength-Routed Optical Networks , 1996, IEEE J. Sel. Areas Commun..

[11]  David Hung-Chang Du,et al.  Embedded unidirectional incomplete hypercubes for optical networks , 1993, IEEE Trans. Commun..

[12]  Uday Kumar Chakraborty,et al.  An efficient link enhancement strategy for computer networks using genetic algorithm , 1997, Comput. Commun..

[13]  Michel Minoux,et al.  Networks synthesis and optimum network design problems: Models, solution methods and applications , 1989, Networks.

[14]  Charles A. Brackett,et al.  Dense Wavelength Division Multiplexing Networks: Principles and Applications , 1990, IEEE J. Sel. Areas Commun..

[15]  Kumar N. Sivarajan,et al.  Optimal routing and wavelength assignment in all-optical networks , 1994, Proceedings of INFOCOM '94 Conference on Computer Communications.

[16]  Lalit M. Patnaik,et al.  Adaptive probabilities of crossover and mutation in genetic algorithms , 1994, IEEE Trans. Syst. Man Cybern..

[17]  Lalit M. Patnaik,et al.  On modeling genetic algorithms for functions of unitation , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[18]  J. Buckley,et al.  Fuzzy genetic algorithm and applications , 1994 .

[19]  Lalit M. Patnaik,et al.  Genetic algorithms: a survey , 1994, Computer.

[20]  Ellis Horowitz,et al.  Fundamentals of Computer Algorithms , 1978 .

[21]  Charles C. Palmer,et al.  An approach to a problem in network design using genetic algorithms , 1994, Networks.

[22]  Rajiv Ramaswami,et al.  A Wavelength Division Multiple Access Network for Computer Communication , 1990, IEEE J. Sel. Areas Commun..

[23]  Dimitri P. Bertsekas,et al.  Data Networks , 1986 .

[24]  N.R. Malik,et al.  Graph theory with applications to engineering and computer science , 1975, Proceedings of the IEEE.

[25]  Robert G. Gallager,et al.  Wavelength requirements of all-optical networks , 1995, TNET.

[26]  Vijay T. Ahuja Design and Analysis of Computer Communication Networks , 1982 .

[27]  Kumar N. Sivarajan,et al.  Routing and wavelength assignment in all-optical networks , 1995, TNET.

[28]  Kumar N. Sivarajan,et al.  Design of Logical Topologies for Wavelength-Routed Optical Networks , 1996, IEEE J. Sel. Areas Commun..