Hybrid algorithm for multi-peak global optimization
Xiaowei Zhang
Abstract
Xiaowei Zhang
Abstract
According to the fact that Genetic Algorithm can give generally the better solution in the smaller feasible domain,a hybrid algorithm is presented.The proposed algorithm firstly uses the interval method to obtain all small intervals for the global optimization,then employs the Genetic Algorithm to execute the later process.The hybrid algorithm can reduce efficiently the larger feasible domain,provides the initial population with high fitness,gives all optima of multi-peak optimization,improves the accuracy and avoid falling into local optimum.Finally,numerical experiments show that the algorithm works efficiently.
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According to the fact that Genetic Algorithm can give generally the better solution in the smaller feasible domain,a hybrid algorithm is presented.The proposed algorithm firstly uses the interval method to obtain all small intervals for the global optimization,then employs the Genetic Algorithm to execute the later process.The hybrid algorithm can reduce efficiently the larger feasible domain,provides the initial population with high fitness,gives all optima of multi-peak optimization,improves the accuracy and avoid falling into local optimum.Finally,numerical experiments show that the algorithm works efficiently.
Key concepts: Local optimum, Algorithm, Interval (graph theory), Population-based incremental learning, Computer science, Genetic algorithm, Mathematical optimization, Hybrid algorithm (constraint satisfaction)