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Comparison of multi-objective optimization methods on engineering design

Zheng Yuntao Fang Jie Cai Guobiao(School of Astronautics,Beijing University of Aeronautics and Astronautics,Beijing 100083,China)  
Several multi-objective optimization methods in common use were concluded.In two examples of bi-objective optimization for cantilever beam and rocket engine,linear weighted method and gradual easy constraint method and neighborhood cultivation genetic algorithm(NCGA) method were used to obtain Pareto Front.Ideal point method with p-module,the least distance method,ideal point method with max-module and goal programming method were used to obtain non-inferior solutions.The goal point was performed with diverse specific point that corresponded to diverse result in cantilever beam optimization.The optimal solution was respectively found from all non-inferior solutions by dualistic relative comparison and fuzzy related degree method.Examples indicate that multi-objective optimization methods and identification methods of the optimal solution are efficient and reliable applying to the general multi-objective optimization problems.
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