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A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2005年第36-38期194卷 3902-3933页

作者： Lee, KS Geem, ZW NIST Mat & Construct Res Div Bldg & Fire Res Lab Gaithersburg MD 20899 USA Univ Maryland Dept Civil & Environm Engn College Pk MD 20742 USA

Most engineering optimization algorithms are based on numerical linear and nonlinear programming methods that require substantial gradient information and usually seek to improve the solution in the neighborhood of a starting point. These algorithms, however, reveal a limited approach to complicated real-world optimization problems. If there is more than one local optimum in the problem, the result may depend on the selection of an initial point, and the obtained optimal solution may not necessarily be the global optimum. This paper describes a new harmony search (HS) meta-heuristic algorithm-based approach for engineering optimization problems with continuous design variables. This recently developed HS algorithm is conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. Various engineering optimization problems, including mathematical function minimization and structural engineering optimization problems, are presented to demonstrate the effectiveness and robustness of the HS algorithm. The results indicate that the proposed approach is a powerful search and optimization technique that may yield better solutions to engineering problems than those obtained using current algorithms. (c) 2004 Elsevier B.V. All rights reserved.

关键词： harmony search heuristic algorithm continuous design variables mathematical function minimization structural engineering optimization

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