滞后性选择行为下的投影逐日动态分配模型研究
发布时间:2018-08-07 16:18
【摘要】:智能交通系统是未来交通系统的发展方向,其核心部分包括交通诱导与交通控制,其中动态交通流分配模型与算法的研究更是智能交通系统发展的关键技术。因此,通过研究动态交通流分配模型、算法,从而建立适当数学模型,可以为交通诱导和交通流预测的实现提供理论支撑,进而改善道路交通系统规划。本文首先详细介绍了国内外研究现状,包括动态交通配流理论、建模方法以及相关的动态系统理论。在详细研究国内外研究现状的基础上,从系统动力学的角度对出行者逐日动态路径选择过程进行了分析,重点阐述了系统逐日动态演化过程中的“滞后性”现象以及交通流演化满足的最小势能原理。在相关理论和前人研究基础上,利用投影动态系统对逐日动态交通流演化的优势建立了基于“滞后性”选择行为下的投影逐日动态分配模型。研究了“滞后性”选择行为对动态交通流演化带来的影响,证明推导了模型均衡点的存在性以及动态交通流收敛至UE平衡点。最后选取小型路网作为算例,验证了投影模型下交通流逐日动态演化过程也满足“最小势能”原理,并对模型的参数和初始化条件问题进行了讨论。
[Abstract]:Intelligent Transportation system (its) is the development direction of traffic system in the future. Its core part includes traffic guidance and traffic control. The research of dynamic traffic flow assignment model and algorithm is the key technology of its development. Therefore, by studying the dynamic traffic flow assignment model and algorithm, the appropriate mathematical model can be established, which can provide theoretical support for the realization of traffic guidance and traffic flow prediction, and then improve the road traffic system planning. Firstly, this paper introduces the current research situation at home and abroad, including dynamic traffic assignment theory, modeling method and related dynamic system theory. Based on the detailed study of the current research situation at home and abroad, this paper analyzes the daily dynamic path selection process of travelers from the point of view of system dynamics. The phenomenon of "lag" in the daily dynamic evolution of the system and the principle of minimum potential energy satisfied by the evolution of traffic flow are expounded. On the basis of relevant theories and previous studies, the projective dynamic assignment model based on "lag" selection behavior is established by using the advantage of projective dynamic system to the evolution of daily dynamic traffic flow. The influence of "lag" selection behavior on the evolution of dynamic traffic flow is studied. It is proved that the existence of equilibrium point and convergence of dynamic traffic flow to UE equilibrium point are derived. Finally, a small road network is selected as an example to verify that the daily dynamic evolution process of traffic flow under the projection model also meets the principle of "minimum potential energy", and the parameters and initialization conditions of the model are discussed.
【学位授予单位】:西南交通大学
【学位级别】:硕士
【学位授予年份】:2015
【分类号】:U495
[Abstract]:Intelligent Transportation system (its) is the development direction of traffic system in the future. Its core part includes traffic guidance and traffic control. The research of dynamic traffic flow assignment model and algorithm is the key technology of its development. Therefore, by studying the dynamic traffic flow assignment model and algorithm, the appropriate mathematical model can be established, which can provide theoretical support for the realization of traffic guidance and traffic flow prediction, and then improve the road traffic system planning. Firstly, this paper introduces the current research situation at home and abroad, including dynamic traffic assignment theory, modeling method and related dynamic system theory. Based on the detailed study of the current research situation at home and abroad, this paper analyzes the daily dynamic path selection process of travelers from the point of view of system dynamics. The phenomenon of "lag" in the daily dynamic evolution of the system and the principle of minimum potential energy satisfied by the evolution of traffic flow are expounded. On the basis of relevant theories and previous studies, the projective dynamic assignment model based on "lag" selection behavior is established by using the advantage of projective dynamic system to the evolution of daily dynamic traffic flow. The influence of "lag" selection behavior on the evolution of dynamic traffic flow is studied. It is proved that the existence of equilibrium point and convergence of dynamic traffic flow to UE equilibrium point are derived. Finally, a small road network is selected as an example to verify that the daily dynamic evolution process of traffic flow under the projection model also meets the principle of "minimum potential energy", and the parameters and initialization conditions of the model are discussed.
【学位授予单位】:西南交通大学
【学位级别】:硕士
【学位授予年份】:2015
【分类号】:U495
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