论文标题
通过当地景点对休斯的行人流动模型的最佳控制
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
论文作者
论文摘要
我们讨论了一个人群的控制，该人群的动态受休斯模型的正规版本约束。休斯：行人流的连续理论。运输研究B：方法论，36（2002）。我们假设有限数量的代理在人群中起作用，并尝试在给定时间间隔中优化其路径。客观功能可以是一般的，例如，它可以与对快速疏散或维持一组个人的渴望相对应。我们为远期模型，研究对照对国家地图的可不同性能提供了一个存在结果，建立了全球最佳控制的存在并制定最佳条件。
We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume that a finite number of agents act on the crowd and try to optimize their paths in a given time interval. The objective functional can be general and it can correspond, for instance, to the desire for fast evacuation or to maintain a single group of individuals. We provide an existence result for the forward model, study differentiability properties of the control-to-state map, establish the existence of a globally optimal control and formulate optimality conditions.
