考虑物资损毁对心理影响的应急物流配送模型

Emergency supplies distribution model considering psychological impact of supplies damage

为提高应急救援效率与物资配送效益,针对自然灾害应急救援中物资受损的现实情况,考虑物资损毁率对灾民心理影响的上下限及其对物资分配的影响,建立灾民对物资损毁的容忍度函数,量化灾民心理;以系统总运行成本最小和灾民对物资损毁的期望不可容忍程度赋权的有效物资满足率最大为目标,建立考虑多周期、多物资、多灾害演化情景的配送中心到受灾点的动态应急物流配送优化模型;以四川地震带的相关数据建立算例,通过Matlab求解,对比所得方案,验证模型有效性。结果表明:引入灾民对物资损毁的容忍度的模型,能在优化总成本的同时,保障需求紧迫程度较高的受灾点的物资供给。

In order to improve efficiency of emergency rescue and benefit of supplies distribution,according to damage situation of relief items after natural disasters,a tolerance function of impacted populations to supplies damage was proposed to quantify people’s psychology based on damage rate’s top and bottom psychological influence limits and its impact on supplies distribution.Then,an optimization model of dynamic emergency logistics distribution,which considered multiple period,items and scenarios of disaster evolution,was established to minimize total operational costs and maximize effective emergency supplies satisfaction rate weighted by expected intolerable damage degree of victims.Finally,a numerical example based on data of Sichuan earthquake zone was solved by Matlab,and effectiveness of the model was demonstrated by comparing proposed schemes.The results indicate that introduction of tolerance function to supplies damage can optimize total costs while securing supplies for affected areas where victims have higher levels of urgent relief demand.