不确定条件下的乡村中小学布局优化

学校的合理规划布局是实现教育资源优化配置、提高办学效益和推动教育均衡发展的重要途径。已有许多学者研究了学校的布局问题,但基本上都忽略了交通网络条件以及不确定因素对学校布局的影响。本研究将在前人研究基础上,重点考虑交通网络对乡村中小学选址的影响,并假设旅行时间具有不确定性,从而以最小化学生旅行成本、学校建设、道路修建和道路升级成本为目标,构建不确定条件下的设施区位设计模型。在算法求解方面提出混合模拟退火算法,用于确定新建学校的最佳位置,以及新道路的修建和原有道路的升级情况。最后,将提出的模型和算法应用到实际案例中。

Location Optimization of Rural Primary Schools Under Uncertain Condition

The scientific site selection of schools is an important way to optimize the allocation of educational resources, improve the efficiency of running schools and realize the balanced development of education, especially for rural areas. Many scholars have studied the location problem of schools, but most of them have neglected the impact of transportation network conditions on the location of schools and the time cost differences caused by different travel speeds under different road conditions. On the basis of previous studies, this study considers the impact of traffic network on the optimization location of primary schools in rural areas. The object of this study is to minimize the total transportation costs for students, construction costs for new schools, construction and upgrade costs for roads on a traffic network with travel time uncertainty indicated by different travel time scenarios. A mixed integer programming model for this problem is proposed. Furthermore, a hybrid simulated annealing algorithm is used to solve the problem. Finally, a practical case study is presented in detail to illustrate the application of the proposed mathematical model.