Based on the price-quantity adjustment behaviour principle of the non-Walrasian equilibrium theory, this paper adopted a new QUE (quantity adjustment user equilibrium) criterion to formulate the route comfort choice behaviour. The purpose of the present paper is to establish a proportional-switch adjustment model which aims to reflect the route adjustment behaviour interaction between the traditional UE (user equilibrium) travellers and the QUE travellers and converge to a mixed equilibrium state. It is assumed that a group of road network travellers follow the UE criteria by choosing the travel route with the purpose of minimizing their route travel time (travel cost). In addition, the other group of travellers follow the QUE criteria by selecting the route with the largest residual capacity to achieve a more comfortable travel experience. The travel route adjustment behaviour of the two group travellers generates the dynamic traffic flow evolution towards the mixed equilibrium, and the route adjusting flow is proportional to the difference of traveller decision-making variable among the alternative routes. Simple illustrative examples are used to evaluate the performance of the proposed model, and the uniqueness and stability of the solution are demonstrated by applying the variational inequality and Lyapunov stability theorem.

中文翻译：

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具有多路径选择行为准则的混合均衡比例切换调整模型

基于非瓦尔拉斯均衡理论的价格-数量调整行为原理，本文采用了一种新的QUE（数量调整用户均衡）准则来制定路径舒适度选择行为。本文的目的是建立一个比例开关调整模型，该模型旨在反映传统UE（用户均衡）旅行者和QUE旅行者之间的路由调节行为相互作用，并收敛到混合均衡状态。假定一组道路网络旅行者通过选择旅行路线来遵循UE标准，目的是使他们的路线旅行时间（旅行成本）最小化。此外，另一组旅客选择剩余容量最大的路线，以遵循QUE标准，从而获得更舒适的旅行体验。两组旅客的旅行路线调整行为产生了朝着混合均衡的动态交通流演变，并且路线调整流量与替代路线之间的旅行人决策变量之差成比例。简单的说明性例子用于评估所提出模型的性能，并通过应用变分不等式和Lyapunov稳定性定理证明了解的唯一性和稳定性。