基于整数规划的改进多目标遗传算法及养老机构建设规划研究  

Research on improved multi-objective genetic algorithm based on integerprogramming and planning for elderly care institutions

作　　者：郭晓君[1] 申厚雪 仲亚琴[2] 范赟[3] GUO Xiaojun;SHEN Houxue;ZHONG Yaqin;FAN Yun(School of Mathematics and Statistics,Nantong University,Nantong 226019,China;School of Public Health,Nantong University,Nantong 226019,China;Xinglin College,Nantong University,Nantong 226236,China)

机构地区：[1]南通大学数学与统计学院,南通226019 [2]南通大学公共卫生学院,南通226019 [3]南通大学杏林学院,南通226236

出　　处：《江苏科技大学学报（自然科学版）》2023年第6期92-98,共7页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：江苏省研究生科研与实践创新计划项目(KYCX22_3327);南通市科技计划项目(MS22022043,MS22022078);江苏省社会科学基金项目(20GLD013);教育部人文社会科学研究项目(21YJA840018)。

摘　　要：针对老年照护的国家重要需求,综合考虑了养老机构发展的经济效益,以每千户籍老人拥有尽可能多的床位为原则,构建了养老机构建设布局的多目标规划模型.考虑到养老机构建设数量只能为整数,结合整数规划的思想对多目标遗传算法进行了改进.通过多次寻优得到满足条件的Pareto最优解集,并通过多属性决策理论得到最佳规划方案.以每3年为一个建设周期,提出了南京市未来15年的养老机构建设规划方案.该方案在同时考虑经济效益和社会的前提下,可以优化配置老年照护资源,科学综合地应对人口老龄化问题.In light of the pressing national need for elderly care,we present a comprehensive analysis of the economic benefits of developing elderly care institutions,and multi-objective planning model for constructing and locating these institutions based on the principle of providing as many beds as possible for every thousand registered elderly individuals.Since the number of endowment institutions can only be an integer,the multi-objective genetic algorithm is improved by incorporating ideas from integer programming.Through multiple optimizations,the Pareto optimal solution set is obtained,which is used to derive the optimal programming scheme using multi-attribute decision theory.Construction plan for elderly care institutions in Nanjing over the next 15 years,with a construction cycle of three years,is proposed.By considering both,this scheme optimizes the allocation of elderly care resources and provides a scientific and comprehensive solution to the problem of population aging.

关 键 词：整数规划 多目标遗传算法 多属性决策 养老机构 建设规划 

分 类 号：C913.6[经济管理]