Distributed Dynamic Pricing of Multiscale Transportation Networks

• 成果类型: Article
• 署名作者: Como, Giacomo; Maggistro, Rosario
• 署名单位: Polytechnic University of Turin; University of Trieste
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3065193
• 发表日期: 2022
• 页码: 1625-1638
• 关键词: routing; DELAYS; decentralized control; vehicles; transient analysis; Robustness; pricing; congestion pricing; Distributed control; Dynamical flow networks; marginal cost tolls; Robust control; Social optimum; transportation networks; user equilibrium

摘要

We study transportation networks controlled by dynamic feedback tolls. We focus on a multiscale model, whereby the dynamics of the traffic flows are intertwined with those of the routing choices. The latter are influenced by the current traffic state of the network as well as by dynamic tolls controlled in feedback by the system planner. We prove that a class of decentralized monotone flow-dependent tolls allows for globally stabilizing the transportation network around a generalized Wardrop equilibrium. In particular, our results imply that using decentralized marginal cost tolls, stability of the dynamic transportation network is guaranteed around the social optimum traffic assignment. This is particularly remarkable as such dynamic feedback tolls can be computed in a fully local way without the need for any global information about the network structure, its state, or the exogenous network loads. Through numerical simulations, we also compare the performance of such decentralized dynamic feedback marginal cost tolls with constant offline (and centrally) optimized tolls both in the asymptotic and in the transient regime, and we investigate their robustness to information delays.