Research On Fuzzy Hierarchical Optimal Model And Method Oriented Cooperative Design Of Product Family

Product family design is the critical problem of mass customization. In previous literatures, methods of product family design for main function parameters and correlative subordinate function parameters are adopted respectively, so that the leader-follower relationship between them and the research on cooperative design with function parameters are neglected, especially with fuzzy parameters. It is a hotspot that how to solve the fuzzy multilevel optimization problems, because of its comprehensive realistic application, however, it has been focus on the academic meaning because of the difficulty to seek solution. Aiming at the realistic background, systemic research on fuzzy bilevel optimization models and methods faced to hierarchy optimization design of product family are made. The main work of this paper is as the followings:Firstly, the deficiencies in the study based on summarizing the current research on product family design are pointed out, and the cooperative optimization design problems of product family with principal-subordinate structure are divided into two species: the global-local cooperative optimization and the pivotal-subordinative cooperative optimization.Secondly, aiming at two problems of the global-local and the pivotal- subordinative cooperative optimization, the process of up building their notional models and mathematic models are researched, analysis models and mathematic models are set up, including analyzing market demand, constructing product family, ascertaining function index, analyzing flexibility and fuzziness and so on. Moreover, the programming design methods about customization parameters, flat parameters, product flat, product family in mass customization are discussed.Thirdly, analytical solution to the models are researched and the method of resolving problems are constructed, aiming at fuzzy bilevel optimization models with fuzzy objects and fuzzy bilevel programming and fuzzy bilevel optimization models with fuzzy parameters, respectively. Numeral example of product family design is put forward to prove it feasible.Fourthly, intelligent algorithms of the models are researched, the solution to fuzzy bi-level programming based on genetic algorithm and Particle Swarm Optimization are constructed, respectively, and then numeral example are put forward.Fifthly, the models and methods studied in this paper are applied to mechanical product family optimization design with fuzzy parameters, furthermore, fuzzy bi-level optimization models of product family cooperative optimization design are set up.Finally, the total work of the paper is summarized and the vista of further research is made.