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价格-数量调节网络交通流演化模型

发布时间:2018-03-17 16:14

  本文选题:非均衡理论 切入点:非均衡交通流模式 出处:《管理科学学报》2017年08期  论文类型:期刊论文


【摘要】: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.
[Abstract]:Based on the price-quantity regulation principle and method of non-Walras equilibrium in economics, the evolution model of network traffic flow is established for the first time. It is assumed that the traveller is not only affected by the route travel time (price), but also by the path choice decision. It is also affected by the residual capacity of the path (quantity), The stable traffic flow model formed by the path selection behavior is defined as the price-quantity mixed regulation user equilibrium. In this paper, the price regulation evolution model and the quantity regulation evolution model are established, respectively. Furthermore, the evolution model of co-regulation of price and quantity is constructed, and it is proved that the stable state of the evolution model is equivalent to the price-quantity adjustment user equilibrium. The price adjusting user equilibrium and the quantity regulating user equilibrium are special cases of price and quantity adjustment user equilibrium. Finally, a simple test network is taken as an example to calculate and analyze the evolution model established in this paper. The results show that the three evolution models can simulate the process of path flow changing with time perfectly, and the stable state of the model corresponds to three user equilibrium traffic flow modes respectively.
【作者单位】: 长沙理工大学交通运输工程学院;
【基金】:国家自然科学基金重点资助项目(51338002) 国家自然科学基金资助项目(50578019)
【分类号】:U491

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