Bi-level multi-objective delivery planning problems in fuzzy stochastic environments

在配送计划问题中，货主与配送公司之间往往存在层级结构，两者之间相互具有合作关系，不同的几个目标函数往往相互冲突。在本研究中，我将分层多目标配送规划问题表述为以配送路线和配送中心位置为决策变量的双层多目标规划问题。此外，我开发了一种算法，既可以为货主也可以为送货公司获得满意度解，其中满意度解考虑了专家知识中包含的模糊性，也考虑了与客户需求等随机因素相关的随机性。

In delivery planning problems, there is often a hierarchical structure between an owner of goods and a delivery company who mutually have a cooperative relationship and different several objective functions which are usually conflict with each other. In this research, I have formulated a hierarchical multi-objective delivery planning problem as a bi-level multi-objective programming problem where decision variables are delivery route and the position of a delivery center. Furthermore, I have developed an algorithm for obtaining a satisfaction solution for not only the owner of goods but also the delivery company, in which the satisfaction solution takes account of the ambiguity contained in the knowledge of experts as well as the randomness related to stochastic factors such as customer demand.