城市动态连续用户均衡模型中的有界理性出发时间选择

IF 5.8 1区 工程技术 Q1 ECONOMICS
Liangze Yang , Jie Du , S.C. Wong , Chi-Wang Shu
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引用次数: 0

摘要

基于 Wardrop 第一原理,完全理性动态用户均衡被广泛用于研究动态交通分配问题。然而,由于出行信息的不完善和决策的某种 "惯性",有界理性动态用户均衡更适合描述现实的出行行为。在本研究中,我们考虑了包含有界理性概念的出发时间选择问题。我们采用连续体建模方法,假定建模区域内的道路网络足够密集,并可将其视为连续体。我们用反应动态连续体用户均衡模型来描述交通流,并将有界理性出发时间问题表述为一个变分不等式问题。在特定假设条件下,我们证明了有界合理反应动态连续用户均衡模型解的存在性,并通过直观的图解说明了解的非唯一性。我们还通过数值示例证明了该模型的特点和解的非唯一性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Boundedly rational departure time choice in a dynamic continuum user equilibrium model for an urban city

Based on Wardrop’s first principle, the perfectly rational dynamic user equilibrium is widely used to study dynamic traffic assignment problems. However, due to imperfect travel information and a certain “inertia” in decision-making, the boundedly rational dynamic user equilibrium is more suitable to describe realistic travel behavior. In this study, we consider the departure time choice problem incorporating the concept of bounded rationality. The continuum modeling approach is applied, in which the road network within the modeling region is assumed to be sufficiently dense and can be viewed as a continuum. We describe the traffic flow with the reactive dynamic continuum user equilibrium model and formulate the boundedly rational departure time problem as a variational inequality problem. We prove the existence of the solution to our boundedly rational reactive dynamic continuum user equilibrium model under particular assumptions and provide an intuitive and graphical illustration to demonstrate the non-uniqueness of the solution. Numerical examples are conducted to demonstrate the characteristics of this model and the non-uniqueness of the solution.

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来源期刊
Transportation Research Part B-Methodological
Transportation Research Part B-Methodological 工程技术-工程:土木
CiteScore
12.40
自引率
8.80%
发文量
143
审稿时长
14.1 weeks
期刊介绍: Transportation Research: Part B publishes papers on all methodological aspects of the subject, particularly those that require mathematical analysis. The general theme of the journal is the development and solution of problems that are adequately motivated to deal with important aspects of the design and/or analysis of transportation systems. Areas covered include: traffic flow; design and analysis of transportation networks; control and scheduling; optimization; queuing theory; logistics; supply chains; development and application of statistical, econometric and mathematical models to address transportation problems; cost models; pricing and/or investment; traveler or shipper behavior; cost-benefit methodologies.
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