基于模糊目标规划的应急物流多目标随机规划模型

摘要

This paper addressed the problem of emergency facilities location--relief allocation in multi-- suppliers, multi-- affected areas, and multi-- relief emergency logistics networks. Considering the uncertainty of demands and allocation paths, a multi--objective stochastic programming model was proposed, whose features were： the availability of relief--allocation path was stochastic, and there were coverage limits for relief suppliers to cover affected areas. The uncertainty was disclosed by using two--stage stochastic programming with recourse. And fuzzy goal programming based on ＂weighted ordered method＂ was proposed to solve the multi--objective problem. Numerical results indicate the validity of the model and solution.%研究了多出救点、多受灾点、多应急物资的应急设施选址、物资配送问题。同时考虑需求及配送路径的不确定性，从多目标的角度，建立了应急物流的多目标随机规划模型。模型的特点为：物资配送路径具有随机畅通性，且出救点对受灾点有覆盖范围限制。通过将模型设计成带补偿的两阶段随机规划来消除不确定性。提出了基于“加权排序法”的模糊目标规划求解多目标问题。算例证明了模型与解法的有效性。