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

在配送计划问题中，货主和配送公司之间往往存在一种层次化的结构，它们之间相互具有合作关系和不同的几个目标函数，这些目标函数往往是相互冲突的。在本研究中，我将递阶多目标配送规划问题描述为一个决策变量为配送路线和配送中心位置的双层多目标规划问题。此外，我还开发了一种算法，不仅为货主而且为送货公司获得满意解，其中满意解考虑了专家知识中包含的模糊性以及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.