A hybrid simplex-harmony search algorithm and its application to model reduction of linear systems

To improve the local search ability of the basic harmony search algorithm, a hybrid algorithm that combines harmony search algorithm and concurrent simplex method is proposed. The performance of the hybrid simplex-harmony search algorithm is investigated and compared with the basic harmony search algorithm and two other heuristics through benchmark function optimization problems. The hybrid algorithm is then used to solve the model reduction problems. Simulation results demonstrate the effectiveness of the proposed hybrid algorithm.

[1]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[2]  Jing Liu,et al.  Hybrid Genetic Programming for Optimal Approximation of High Order and Sparse Linear Systems , 2008, SEAL.

[3]  John Yen,et al.  A hybrid approach to modeling metabolic systems using a genetic algorithm and simplex method , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[4]  Masao Fukushima,et al.  Tabu Search directed by direct search methods for nonlinear global optimization , 2006, Eur. J. Oper. Res..

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

[6]  Z. Geem.  Optimal cost design of water distribution networks using harmony search , 2006 .

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

[8]  L. Coelho,et al.  An improved harmony search algorithm for synchronization of discrete-time chaotic systems , 2009 .

[9]  Z. Geem.  Optimal Design of Water Distribution Networks Using Harmony Search , 2009 .

[10]  Panos M. Pardalos,et al.  Global optimization by continuous grasp , 2007, Optim. Lett..

[11]  Woo-seok Jang,et al.  Hybrid Simplex-Harmony search method for optimization problems , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[12]  S. O. Degertekin.  Optimum design of steel frames using harmony search algorithm , 2008 .

[13]  Ling Wang,et al.  Optimal reduction of models using a hybrid searching strategy , 2005, Appl. Math. Comput..