考虑时间约束的地震救灾数学模型设计与实现

Design and Implementation of a Mathematical Model for Earthquake Disaster Rescue Considering Time Constraint

在地震救灾方面,针对信息实时更新的地震救灾数学模型,为了满足不同受灾点的物资需求,增加了出救点数量以及配送时间,以此来保证地震救援物资需求的满足度,提高了应急响应水平。结合地震救灾特点,设计了一种考虑时间约束的地震救灾数学模型。该模型在地震救灾物资需求预测部分,分析影响地震救灾物资需求量的主要因素,构建地震救灾物资需求量计算模型,对影响地震救灾物资需求量的主要因素构建隶属度函数,给出基于模糊综合评判的地震救灾物资需求分级模型。其次,考虑时间约束以及需求不确定等方面,构建考虑时间约束的地震救灾多目标优化数学模型,并给出求解模型。实验结果表明,该模型减少了救灾物资到达受灾点的延迟时间,可在满足时间约束的条件下提高物资需求满足率。

The demand of earthquake relief materials for different disaster sites can be met by utilizing a mathematical model of earthquake disaster relief based on real-time updating of information to optimize the number of rescue points and delivery time.According to the characteristics of earthquake disaster relief,this paper presents the design and implementation of a mathematical model for earthquake disaster relief that considers time.First,the main factors affecting the demand of earthquake relief materials are analyzed by using the model to forecast the demand,and then the model for calculating the demand for earthquake relief materials is constructed,and the model for grading earthquake relief materials demand based on fuzzy comprehensive evaluation is established.Second,considering time constraint and uncertain demand,the earthquake relief materials are studied and a multi-objective optimization mathematical model of earthquake disaster relief which considers time constraints is constructed.The experimental results show that the model can reduce the delay to reach the disaster site and improve the material demand satisfaction rate while meeting the time constraints.