摘要
针对传染病发生后,应急救援时间紧迫的特点,提出了一种基于传染病扩散函数的应急救援中心选址优化的数学模型.该模型充分考虑了传染病的扩散函数、脉冲接种的周期、应急救援中心与灾害发生点的距离,以及应急救援中心的建设和维护费用等多个因素的约束.同时该模型整合了传统选址模型中常用的最大覆盖模型、p-中心模型和p-中值模型,体现了应急救援设施选址的公平性和效率性原则.通过对一个源于实际的算例进行计算,取得了很好的结果.
In view of the pressure time of emergency rescue against the infectious diseases,a mathematical model to optimize the location of emergency rescue centers is proposed.The model takes full account of the spread function of infectious diseases,the cycle of pulse vaccination,the distance between the demand area and the emergency rescue centers,as well as the building and maintenance cost for the emergency rescue center,and so on.At the same time,the model integrates the traditional location selection models which are the biggest cover model,the p-center model and the p-median model,and it embodies the principles of fairness and efficiency for the emergency center location.Finally,a computation of an example arising from practice provides satisfactory results.
基金
The National Natural Science Foundation of China(No.70671021)
the National Key Technology R&D Program of China during the 11th Five-Year Plan Period(No.2006BAH02A06)
关键词
SIR模型
脉冲接种
选址
应急救援
p-中值模型
susceptible-infective-removed(SIR)model
pulse vaccination
location
emergency rescue
p-median model
