Abstract
According to the inherent feature of knapsack problem, a multi-parent multi-point crossover operation (MP2X) is proposed, which is implanted with orthogonal experimental design method. The aim of implementing orthogonal experimental design method to MP2X operation is to fully utilizing the inherent information from multiple component of multiple individuals. Based on MP2X operation and orthogonal design method, a genetic algorithm variant (MPXOGA) is proposed in this paper. The simulation results on classic knapsack instances show that MPXOGA is better than several other solvers, including Hybrid Genetic Algorithm (HGA), Greedy Genetic Algorithm (GGA), Greedy Binary Particle Swarm Optimization Algorithm (GBPSOA) and Very Greedy PSO (VGPSO) in the ability of finding optimal solution, the efficiency and the robustness.
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