A genetic algorithm and a particle swarm optimizer hybridized with Nelder–Mead simplex search
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资源说明:This paper integrates Nelder–Mead simplex search method (NM) with genetic algorithm (GA) and particle swarm optimization
(PSO), respectively, in an attempt to locate the global optimal solutions for the nonlinear continuous variable
functions mainly focusing on response surface methodology (RSM). Both the hybrid NM–GA and NM–PSO algorithms
incorporate concepts from the NM, GA or PSO, which are readily to implement in practice and the computation of functional
derivatives is not necessary. The hybrid methods were first illustrated through four test functions from the RSM
literature and were compared with original NM, GA and PSO algorithms. In each test scheme, the effectiveness, efficiency
and robustness of these methods were evaluated via associated performance statistics, and the proposed hybrid approaches
prove to be very suitable for solving the optimization problems of RSM-type. The hybrid methods were then tested by ten
difficult nonlinear continuous functions and were compared with the best known heuristics in the literature. The results
show that both hybrid algorithms were able to reach the global optimum in all runs within a comparably computational
expense.
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