Travel time and monetary cost are the two important factors influencing travelers’ route choice behavior. Rather than combining them together as a single objective, a bi-objective user equilibrium (BUE) has been recently proposed in which travelers consider the two objectives separately. It has been shown that BUE can explain more possible route choice results in reality. Therefore, regarding the BUE state as the final steady state of traffic flow evolution, this study develops a BUE-based day-to-day dynamic model by introducing BUE into the well-known proportional-switch adjustment process (PSAP). The equivalence between the steady state of the evolution process of BUE-PSAP and a BUE state, as well as the convergence of the BUE-PSAP are proved. Moreover, a dynamic pricing scheme is proposed to reduce the system total travel time and shrink the BUE solution set. Numerical examples are conducted to validate the proposed dynamic model and the pricing scheme.

出行时间和金钱成本是影响出行者路线选择行为的两个重要因素。最近提出了一种双目标用户平衡（BUE），而不是将它们组合为一个目标，旅行者将其中的两个目标分开考虑。已经显示，BUE可以解释现实中更多可能的路线选择结果。因此，将BUE状态作为交通流演化的最终稳态，本研究通过将BUE引入众所周知的比例开关调整过程（PSAP），开发了基于BUE的每日动态模型。证明了BUE-PSAP演化过程的稳态与BUE状态之间的等价性，以及BUE-PSAP的收敛性。此外，提出了一种动态定价方案，以减少系统的总旅行时间并缩小BUE解决方案集。通过数值算例验证了所提出的动态模型和定价方案。