The Model And Method Of Production And Transportation In Polymorphic Uncertain Environment

In recent years, the uncertain programming problem has been widespread concern because of the influence of various uncertain factors, especially in the research field of economics, transportation, logistics management. Uncertainty mathematical theory includes the stochastic mathematics, the interval mathematics and the fuzzy mathematics. Based on them, there are corresponding research fields of uncertain programs. However, considering the diversity of parameters in practice, polymorphic uncertain linear programming model is put forward by Wan Zhong, where more than two types of uncertain parameters are involved into the constructed models. Controlling and reducing cost of production and transportation are two significant aspects in the logistics management. Thus, it is inappropriate to apply the traditional deterministic models of production and transportation, owing to the impact of uncertain factors. In this dissertation, new models and algorithms are constructed under polymorphic uncertain environment.The main contribution in the dissertation is summarized as follows:1、Polymorphic uncertain mixed programming model is constructed for the problem of production and transportation. And the weighted possibilistic mean is first applied for this new model.2、It is summarized that the approach of uncertain linear programming with single parameter. Moreover, new approach to solve fuzzy programming is proposed, where trapezoid fuzzy number is involved, which is based on existing research results.3、The solution algorithm and mathematics related certification about fuzzy random programming and fuzzy interval programming is presented, which is used in new model. Meanwhile, the paper amplifies transformation process of presented model, and gives deterministic equivalent model and numerical example which confirms the effectiveness of the algorithm. A total of1Figure,7tables and70references.