Browse > Article

Improvement of Genetic Operations for Minimum Spanning Tree Application Problems  

Koh, Shie-Gheun (Department of Industrial Engineering, Pukyoung National University)
Kim, Byung-Nam (Department of Industrial Engineering, Pukyoung National University)
Publication Information
IE interfaces / v.15, no.3, 2002 , pp. 241-246 More about this Journal
Abstract
Some extensions of minimum spanning tree problem are NP-hard problem in which polynomial-time solutions for them do not exist. Because of their complexity, recently some researcher have used the genetic algorithms to solve them. In genetic algorithm approach the Prufer number is usually used to represent a tree. In this paper we discuss the problem of the Prufer number encoding method and propose an improved genetic operation. Using a numerical comparison we demonstrate the excellence of the proposed method.
Keywords
minimum spanning tree; genetic algroithm; prufer number;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Narula, S. and Ho, C.(1980), Degree-constrained minimum spanning tree, Computers and Operations Research, 7, 239-249
2 Gilbert, E. (1967), Minimum cost communication networks, journal of Bell System: Technology, 9, 2209-2227
3 Graham, R. and Hell, P. (1985), On the history of the minimum spanning tree problem, Annals of the History of the Computing, 7, 43-57
4 Palmer, C. and Kershenbaum, A. (1995), An approach to a problem in network design using genetic algorithms, Networks, 26, 151-163
5 Goldberg, D. E. (1989), Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley
6 Gen, M. and Cheng, R. (1997), Genetic Algorithms and Engineering Design, John Wiley and Sons, Inc
7 Myung, Y. S., Lee, C. H. and Tcha, D. W. (1995), On the generalized minimum spanning tree problem, Networks, 26, 231-241
8 Bertsimas, D. (1990), The probabilistic minimum spanning tree problem, Networks, 20, 245-275
9 Shiode, I., Nishida, T. and Namasuya, Y. (1981), Stochastic spanning tree problem, Discrete Applied Mathematics, 3, 263-273