论文标题
通过测量过程的障碍物在区域中对人群进行建模
Modeling of crowds in the regions with moving obstacles via measure sweeping processes
论文作者
论文摘要
我们在具有移动障碍的区域中提出了人群运动模型，该模型基于量度扫描过程的概念。障碍物是由集合值的映射建模的，其值是与R-Prox期限集合的补充。人群运动在边界上遵守障碍物之外的非线性传输方程（类似于经典的扫描过程理论）。我们证明了该模型的适当性，为环境优化问题提供了应用，并提供了数值计算的一些结果。
We present a model of crowd motion in regions with moving obstacles, which is based on the notion of measure sweeping process. The obstacle is modeled by a set-valued map, whose values are complements to r-prox-regular sets. The crowd motion obeys a nonlinear transport equation outside the obstacle and a normal cone condition (similar to that of the classical sweeping processes theory) on the boundary. We prove the well-posedness of the model, give an application to the environment optimization problems, and provide some results of numerical computations.
