关键词: 粒子群算法, Solver, Visual Basic应用程序, 优化

Abstract: Combined Particle Swarm Optimization (PSO) and Solver add-in, this paper proposed a hybrid PSO-Solver algorithm to solve the optimization problems. As a global search algorithm, PSO looks for the global feasible solution, and Solver is a local search tool based on gradient information, which refines the solution obtained by PSO. The hybrid algorithm could speed up the global search, as well as avoid getting into local minima. VBA was used to code, which is simple and easily conducted. Results of solving some unconstrained and constrained examples, compared to the standard PSO and other heuristic algorithms, show that this hybrid PSO-Solver algorithm can improve the speed of convergence and the accuracy of solutions significantly.

Key words: Particle Swarm Optimization （PSO）, Solver, Visual Basic for Applications （VBA）, optimization