摘要
针对震后首批应急物资供不应求、需求量动态变化等特征,构建以最大化受灾点的最小需求满足率为公平目标,以最小化应急物资的最晚送达时间为效率目标的整数非线性规划模型,据此对多受灾点、多救援点的应急物资分配方案进行决策。根据模型特征,设计基于epsilon约束法的多目标算法,并对算法的收敛性进行分析。算例结果表明,通过模型和算法能够得到不同偏好下的应急物资分配方案,可以更好地权衡应急物资分配的公平与效率,揭示了最大最小公平的最终目的是实现比例公平。
Regarding the shortage and dynamic demand of emergency resources in post-earthquake,an integer nonlinear program- ming model with the max-min demand satisfaction rate as the fairness goal,and the rain-max delivery time as the efficiency goal is established to optimize the emergency resources allocation scheme with multiple demand and supply points.A multi-objective algorithm is proposed based on epsilon-constraint method,and the convergence of the algorithm is analyzed.The numerical results show that the model and algorithm can obtain the emergency resources allocation scheme under different preferences with better considerations of the fairness-efficiency trade-off,and reveal that the ultimate goal of max-min fairness is to achieve propor- tional fairness.
作者
付江月
陈刚
FU Jiang-yue;CHEN Gang(School of Management,Guizhou University,Guiyang 550025,China)
出处
《系统工程》
CSSCI
北大核心
2018年第6期149-153,共5页
Systems Engineering
基金
国家自然科学基金资助项目(71761006)
国家社会科学基金资助项目(17XGL013)
贵州省科技计划项目(黔科合平台人才[2017]5788号)
关键词
应急管理
资源分配
公平
整数非线性规划
多目标算法
Emergency Management
Resource Allocation
Fairness
Integer Nonlinear Programming
Multi-objective Algorithm
