Fuzzy physical programming and its application

Physical Programming is a new effective and computationally efficient approach for multidisciplinary design optimization.Based on Achille Messac's work,this paper considers the fuzziness of the multi-objective system,and develops Fuzzy Physical Programming.Genetic Algorithms is used in solving the mathematical model,it can obtain the global optimum even if there exists local optimums,and enlarge the application range of Fuzzy Physical Programming.Finally,Fuzzy Physical Programming is used in optimization of running chart of through passenger train.