When multiple equilibria exist, the desired traffic equilibrium, may not be reached through a day-to-day dynamic adjustment process. Han et al. [“Discrete-Time Day-to-Day Dynamic Congestion Pricing Scheme Considering Multiple Equilibria.” Transportation Research Part B: Methodological 104: 1–16.] proposed a day-to-day dynamic pricing scheme charged on all links to ensure the desired traffic equilibrium can be achieved even when multiple equilibria exist. However, due to many practical constraints, the second-best pricing scheme has more practical interests. This study first discussed the issues of existing congestion pricing schemes for second-best case. Then, this study developed a second-best dynamic road pricing scheme that is implemented on a dynamic subset of the road links in the network. Our rigorous theoretical proof and numerical tests prove that the dynamic pricing scheme can drive the traffic state evolution towards the desired second-best traffic user equilibrium state from any initial traffic state.

当存在多个均衡时，可能无法通过日常动态调整过程来达到所需的流量均衡。Han等。[“考虑多重均衡的离散时间每日动态拥塞定价方案。” 运输研究B部分：方法论104：1–16。]提出了对所有链路收费的每日动态定价方案，以确保即使存在多个均衡，也可以实现所需的流量均衡。但是，由于许多实际的限制，次优定价方案具有更多的实际利益。本研究首先讨论了针对第二好的情况的现有拥堵定价方案的问题。然后，本研究开发了第二好的动态道路定价方案，该方案在网络中道路链接的动态子集上实施。我们严格的理论证明和数值测试证明，动态定价方案可以驱动交通状态从任何初始交通状态向理想的次佳交通用户平衡状态发展。