路网交通流二层规划模型及其极大熵解

Bilevel programming model of road network traffic flow and its maximum entropy solution

分析交通网络系统的特点,研究混合交通OD结构的关联性,在定量分析路网交通流受交通容量、交通安全及交通服务能力等条件限制的基础上,研究路网利用效益最大化及路网交通流量最大化问题,构建一种路网交通流的二层平衡规划模型。利用先验分布理论和极大熵原理,给出模型的极大熵函数解,进一步证明解的存在与唯一性。模型一方面描述了管理部门对路网交通的优化配置,一方面描述了出行者充分利用路网资源的最优选择。最后通过一个实例,分析模型计算的相关结论。

The characteristics of traffic network system are analysed and the relevance of mixed traffic origin-destination pattern is studied in this paper.The maximum problem of the utilization ratio and the road network traffic flow is studied based on the quantitative analyse of limited factors,such as road network traffic capacity,transportation circumstance and transportation service level.Based above,a bilevel balance programming model is constructed.The maximum entropy solution of the model is given by using prior distribution and maximum entropy function,then the existence and uniqueness of the solution further is proved.The model describes the optimum disposition of the road network traffic by supply department on the one hand and the optimum choice of using road network resource effectively by the demand department on the other hand.Finally,an example is introduced to analyse the relative conclution of the model.