Multi-grid simulation of pedestrian counter flow with topological interaction
Multi-grid simulation of pedestrian counter flow with topological interaction
复制标题
DOI：
10.1088/1674-1056/19/12/128901
复制
发表时间：
2010-12
影响因子：
1.7
通讯作者：
Jian 剑 Ma 马;W. Song 宋;Guang-Xuan 光煊 Liao 廖
中科院分区：
文献类型：
--
作者：
Jian 剑 Ma 马;W. Song 宋;Guang-Xuan 光煊 Liao 廖
本文利用多重网格拓扑行人逆流模型研究了行人逆流的动力学行为。在该模型中，每个行人占据多个网格，而不是只有一个网格，并与其他人的拓扑相互作用的形式，这意味着移动的行人与固定数量的最近的邻居从相反的方向来确定他/她自己的移动方向。因此，空间和时间的离散化要精细得多，行人的决策过程更可靠，这一切都使移动行为和边界条件更加现实。当与实地观察相比，可以发现，修改后的模型是能够重现拟合良好的行人集体行为，如车道形成的动态变化，在同一方向上的行人集群等，由该模型产生的基本图也很好地配合在自由流动区域的现场数据。进一步的分析表明，随着行人逆流系统规模的增大，系统向阻塞状态过渡的难度增大，而在多网格拓扑逆流模型中，相互作用范围的增大并没有改变自由流向阻塞流的过渡点。研究还发现，边界上行人注入率的不对称性直接影响自由流向阻塞流的过渡过程，即，对称注入使得系统更容易转变为阻塞流。
We investigate the dynamics of pedestrian counter flow by using a multi-grid topological pedestrian counter flow model. In the model, each pedestrian occupies multi- rather than only one grid, and interacts with others in the form of topological interaction, which means that a moving pedestrian interacts with a fixed number of those nearest neighbours coming from the opposite direction to determine his/her own moving direction. Thus the discretization of space and time are much finer, the decision making process of the pedestrian is more reliable, which all together makes the moving behaviour and boundary conditions much more realistic. When compared with field observations, it can be found that the modified model is able to reproduce well fitted pedestrian collective behaviour such as dynamical variation of lane formation, clustering of pedestrians in the same direction, etc. The fundamental diagram produced by the model fits also well with field data in the free flow region. Further analyses indicate that with the increase of the size of pedestrian counter flow system, it becomes harder for the system to transit into a jamming state, while the increase of interaction range does not change the transition point from free flow to jamming flow in the multi-grid topological counter flow model. It is also found that the asymmetry of the injection rate of pedestrians on the boundaries has direct influence on the process of transition from free flow to jamming flow, i.e., a symmetric injection makes it easier for the system to transit into jamming flow.