ABSTRACT This study investigates the impact of heterogeneous psychological inertia of travelers on link flow evolution process on a day-to-day basis. The psychological inertia of a traveler is defined as his/her reluctance to reconsider his/her route choice, and is characterized by a sequence of binary parameters along time. Travelers are grouped into different classes by their inertia patterns. Based on these classes, a variational inequality formulation for the multi-class user equilibrium problem is presented. We develop a generic day-to-day link flow dynamic model by considering heterogeneous inertia patterns of the travelers. The convergence properties of the model are rigorously demonstrated. The developed model is formulated in a general form under mild assumptions. We further consider a special case of the generic model. We examine properties of this special case model, and investigate its relationship with existing models in the literature. Numerical experiments are conducted to demonstrate our theoretical results.

中文翻译：

---

考虑旅行者异构惯性模式的离散日常链路流动态模型

摘要 本研究调查了旅行者异质心理惯性对日常链接流演变过程的影响。旅行者的心理惯性被定义为他/她不愿意重新考虑他/她的路线选择，并以随时间变化的二元参数序列为特征。旅行者根据惯性模式分为不同的类别。基于这些类，提出了多类用户均衡问题的变分不等式公式。我们通过考虑旅行者的异构惯性模式开发了一个通用的日常链接流动态模型。模型的收敛性得到了严格的证明。开发的模型是在温和的假设下以一般形式制定的。我们进一步考虑通用模型的一个特例。我们检查了这个特殊案例模型的属性，并研究了它与文献中现有模型的关系。进行了数值实验来证明我们的理论结果。