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Workshop on Optimization: Theories and Applications (OTA 2006)

Hybrid Evolutionary Algorithms for the Rectilinear Steiner Tree Problem Using Fitness Estimation

Byounghak YangContact Information

(1)  Department of Industrial Engineering, Kyungwon University, San 65 Bockjung-dong , Sujung-gu, Seongnam-si, Kyunggi-do, Korea
Abstract
The rectilinear Steiner tree problem (RSTP) is to find a minimum-length rectilinear interconnection of a set of terminals in the plane. A key performance measure of the algorithm for the RSTP is the reduction rate that is achieved by the difference between the objective value of the RSTP and that of the minimum spanning tree without Steiner points. We introduced four evolutionary algorithm based upon fitness estimation and hybrid operator. Experimental results show that the quality of solution is improved by the hybrid operator and the calculation time is reduced by the fitness estimation. The best evolutionary algorithm is better than the previously proposed other heuristics. The solution of evolutionary algorithm is 99.4% of the optimal solution.
This research was supported by the Kyungwon University Research Fund in 2005.

Contact Information Byounghak Yang
Email: byang@kyungwon.ac.kr
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