摘要
基础教育设施中新建学校选址是很重要的问题,本文基于某市某区2017年公立小学学区划分情况,由出行成本确定备选点,利用目标规划方法,在Lingo和MATLA B软件支持下进行新建学校选址。以降低总体出行成本和提高总体服务效用为目标,依据学校、居民单元及道路交通数据,构建学区划分优化的多目标线性规划模型。采用线性加权方法将多目标问题转化为单目标问题进行求解,在此基础上建立新建学校选址的非线性目标规划模型,进一步缩小备选点的范围。最后利用学区划分优化模型逐个测试余下备选点,得到新建学校的最优选址。
The location of new schools in basic education facilities is a very important issue.Based on the division of public primar y school districts in a certain district of a city in 2017,the candidate points are determined by the travel cost,and the goal programming method is used to solve this problem with the support of Lingo and MATLAB software.With the goal of reducing overall travel costs and improving overall service utility,based on school,residential unit and road traff ic data,a multi-objective linear programming model for the optimization of school district division is constructed.The linear weighting method is used to convert the multi-objective problem into a single-objective problem for solution.And on this basis,a nonlinear goal programming model for the location of new schools is established to further narrow the ra nge of candidate points.Finally,the school district division optimization model is used to test the remaining candidate points one by one to obtain the most optimal location for the new school.
作者
耿淑莉
赵红
GENG Shuli;ZHAO Hong(School of Mathematical Sciences,Ocean University of China,Qingdao,Shandong Province,266100 China)
出处
《科技创新导报》
2020年第22期239-242,共4页
Science and Technology Innovation Herald
关键词
目标规划
学区划分优化
新建学校选址
Huff模型
Goal programming
Optimization of school district division
Location selection of new school
Huffmodel
