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是一个层次结构，它们之间存在着合作关系，并且存在着多个相互冲突的目标函数。在这项研究中，我制定了一个分层多目标交付规划问题作为一个双层多目标规划问题，决策变量是交付路线和交付中心的位置。此外，我已经开发出一种算法，不仅为所有者的货物，但也交付公司，其中的满意度解决方案考虑到专家的知识中所包含的模糊性，以及随机性相关的随机因素，如客户需求的满意度解决方案。

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.