中文摘要：

研究了多出救点、多受灾点、多物资、多车型的应急车辆选址、路径选择和物资配送问题．考虑到灾害预测准确性和物流成本效率之间的悖反关系，从多目标规划和随机规划的角度，建立了应急物资配送的多目标随机规划模型．建模中同时考虑需求和配送路径连通性的随机性，以及出救点对受灾点的最大覆盖范围限制．将统计决策与运筹规划相结合，设计一个加权贝叶斯风险将多目标规划问题转化为单目标规划问题，以及设计一个决定最优停止观测时刻的决策规则使原问题转化为最优停止问题．通过Xpress软件编程求解．最后，算例分析表明了模型和软件的求解速率与精度，并分别证明了两阶段随机规划和灾情信息更新的优势．

英文摘要：

This paper addressed a multi-supplier multi-affected area multi-relief and multi-vehicle emer- gency vehicles location, path selection and relief allocation problem. Considering the inherent trade-off between disaster forecast accuracy and logistics cost efficiency, a multi-objective stochastic programming model was proposed. The features were： the demand and availability of relief-allocation path were stochas- tic, and there were coverage limits for relief suppliers to cover affected areas. The multi-objective program- ming model was transformed into a single-objective programming model by the use of a weighted Bayes risk; and the proposed model was transformed into an optimal stopping problem by designing a decision rule. The model was solved by using Xpress. Numerical results indicate the velocity and accuracy of the model and software, and demonstrate the superiority of two-stage stochastic programming and disaster scenario information updates respectively.