不确定环境中多目标应急物流选址分配模型

A multi-objective location-allocation model for emergency logistics in an uncertain information environment

为合理解决应急物流系统中的设施选址和应急物资分配问题,基于应急物资供需特征,引入概率分布及三角模糊数描述应急物资供需的不确定性,建立不确定信息环境中,多商品、多式联运、多阶段及多目标的应急物流选址分配模型。探究模型中不确定性约束条件的转化方法,并采用epsilon约束法对模型进行求解。结果表明,所构建的数学模型能较好地模拟应急物流系统中的选址分配问题,用epsilon约束法能有效地求解多目标模型的帕累托最优解集,决策者可根据对需求未满足量、应急物流系统的救援总时间及总成本3个目标的偏好程度,选择相应的应急物流方案,实现应急设施的科学选址和应急物资的合理分配。

In order to solve facility location and emergency materials allocation problems in emergency logistics system, based on the characteristics of supply and demand of emergency materials, probability distribution and triangle fuzzy number were introduced to describe the uncertainty of supply and demand of emergency materials. A multi-commodity, multi-modal, multi-period and multi-objective model was built for emergency logistics location-allocation decision making. A method was examined for transforming uncertainty constraints to deterministic constraints. Furthermore, epsilon-constraint method was employed to solve the multi-objective model. The results show that the model can simulate location-allocation problem in emergency logistics system preferably, and the epsilon-constraint method can be used to find out Pareto optimal solution set of the multi-objective model effectively, and that by using the model,decision-makers can choose the corresponding logistics solution according to their preference for the three objectives, so as to realize the scientific location of the emergency facilities and reasonable allocation of emergency materials.