小区开放对道路通行影响的数学建模

Mathematical Modeling of the Influence to the Opening of Residential Quarters on the Traffic Capacity

采用层次分析法编制小区开放效果的评价体系,研究分析住宅小区开放的问题。建立基于宏观交通流模型的微分方程,获得车流密度稳定的条件及其平衡点公式;建立基于二维元胞自动机的仿真模型,精细考量演化规则,实现动态交通的计算机模拟;在此基础上选取实际生活中三种类型的小区,用仿真模型实施计算,得到关键性定量数据,证实小区开放对道路通行的积极影响,并据此提出关于小区开放的合理化建议。

This paper compiles the appraisal system of evaluating the effect of the opening of residential quarters with the Analytic Hierarchy Process. The differential equation is set up based on the macro traffic flow model to get equation of the condition of the traffic flow density and the equilibrium. The simulation model based on the 2-dimention cellular automation is set up. The dynamic computer simulation is realized with careful consideration of evolution principles. Three typical residential quarters are selected to caculate the quatative data to prove the positive influence of opening the roads in the residential areas, thus the reasonable suggestions are put forward.