价格-数量调节网络交通流演化模型

首次运用经济学非瓦尔拉斯均衡中的价格-数量调节原理和方法,建立网络交通流动态演化模型.假设出行者在路径选择决策时,不但受路径出行时间(价格)的影响,而且还受到路径剩余通行能力(数量)的影响,并将这种路径选择行为形成的稳定交通流模式定义为价格-数量混合调节用户均衡.论文分别建立了价格调节演化模型和数量调节演化模型,进而构建了价格-数量共同调节演化模型,证明了演化模型的稳定状态等价于价格-数量调节用户均衡,且价格调节用户均衡和数量调节用户均衡均为价格-数量调节用户均衡的特例.论文最后以一个简单的测试网络为例对文中建立的演化模型进行了计算分析,结果显示三种演化模型均可较理想地模拟路径流随时间变化的过程,且模型稳定状态分别对应三种用户均衡交通流模式.

An evolution model for network traffic flow based on price-quantity regulation

In this paper,a novel network flow dynamic model is developed based on the price-quantity regulation method of non-Walrasian equilibrium theory in Economics.In addition to the common notion that a traveler's route choice is only influenced by the travel time (price),the presented model also considers the impact of the surplus capacity (quantity).A price regulation model and a quantity regulation model are established separately to form the basis of a price-quantity regulation evolution model.The stable traffic flow pattern resulting from such route choice behavior is defined as the price-quantity mixed user equilibrium.It is found that the stable state of the price-quantity model is equivalent to the price-quantity mixed user equilibrium.Moreover,both the separated price regulation and quantity regulation models are the special cases of the combined price-quantity regulation model.At last,a numerical example is conducted to analyze the proposed model.The results show that the proposed three models can describe the variation of route flow perfectly and the stable states of these models are corresponding to three types of equilibrium traffic flow patterns,respectively.