Side-Constrained Dynamic Traffic Equilibria
研究了在道路网络中引入额外约束（如隧道安全限流或区域排放上限）后的动态交通均衡问题，通过变分不等式刻画均衡特征并首次证明体积约束非凸情形下的存在性。
Dynamic flows are a well-studied model for car traffic in road networks. The assumption that every driver chooses her route in such a way as to selfishly minimize her own travel costs leads to the solution concept of dynamic equilibria, that is, dynamic flows wherein every flow particle travels along a cost minimal route (under the travel costs induced by this flow). In practice, however, there are often additional constraints on certain parts of the networks that restrict the options of the individual drivers like traffic limits due to security concerns in tunnels or to keep emission levels in some areas below certain thresholds. In “Side-Constrained Dynamic Traffic Equilibria,” Graf and Harks develop a general framework for incorporating such additional side constraints into dynamic flow models. They provide characterization results for the resulting equilibria via (quasi-)variational inequalities and show the first existence result for the nonconvex setting of volume constraints.