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.

中文翻译：

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城市动态连续用户均衡模型中的有限理性出发时间选择


基于Wardrop第一原理，完全理性的动态用户均衡被广泛用于研究动态流量分配问题。但由于出行信息的不完善以及决策存在一定的“惯性”，有限理性的动态用户均衡更适合描述现实的出行行为。在本研究中，我们结合有限理性的概念来考虑出发时间选择问题。应用连续体建模方法，其中假设建模区域内的道路网络足够密集并且可以被视为连续体。我们用反应动态连续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变分不等式问题。我们证明了在特定假设下有限理性反应动态连续用户均衡模型解的存在性，并提供了直观和图形化的说明来证明解的非唯一性。数值例子证明了该模型的特点和解的非唯一性。