A Niching Harmony Search Method for Multi-modal Optimization

The Harmony Search (HS) method is an emerging meta-heuristic optimization algorithm. However, it is generally not so efficient in dealing with multi-modal optimization problems, in which instead of only a single optimum, multiple optima need to be found. In our paper, a novel HS method based on the niching technique (deterministic crowding), n-HS, is proposed and studied to overcome this shortcoming. A total of eight typical multi-modal optimization functions are used to demonstrate that the n-HS can successfully locate most of the global and local optima.

[1]  Samir W. Mahfoud A Comparison of Parallel and Sequential Niching Methods , 1995, ICGA.

[2]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1992, Artificial Intelligence.

[3]  Antero Arkkio,et al.  A hybrid optimization method for wind generator design , 2012 .

[4]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[5]  Samir W. Mahfoud Niching methods for genetic algorithms , 1996 .

[6]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[7]  Xiaolei Wang,et al.  A hybrid optimization method of harmony search and opposition-based learning , 2012 .

[8]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[9]  Zong Woo Geem,et al.  Harmony Search Optimization: Application to Pipe Network Design , 2002 .

[10]  Xiaolei Wang,et al.  UNI-MODAL AND MULTI-MODAL OPTIMIZATION USING MODIFIED HARMONY SEARCH METHODS , 2009 .

[11]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[12]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[13]  Y. M. Cheng,et al.  An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis , 2008 .

[14]  Riccardo Poli,et al.  Foundations of Genetic Programming , 1999, Springer Berlin Heidelberg.

[15]  Zong Woo Geem,et al.  Music-Inspired Harmony Search Algorithm , 2009 .

[16]  Zong Woo Geem,et al.  Recent Advances In Harmony Search Algorithm , 2010, Recent Advances In Harmony Search Algorithm.

[17]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[18]  Andries Petrus Engelbrecht,et al.  Fundamentals of Computational Swarm Intelligence , 2005 .

[19]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

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