基于改进格子气模型的对向行人流分层现象的随机性研究  

Randomness analysis of lane formation in pedestrian counter flow based on improved lattice gas model

作　　者：李明华[1] 袁振洲[1] 许琰[1] 田钧方[2] 

机构地区：[1]北京交通大学城市交通复杂系统理论与技术教育部重点实验室,北京100044 [2]天津大学系统工程研究所,天津300072

出　　处：《物理学报》2015年第1期427-438,共12页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(批准号:2012CB725403);国家自然科学基金(批准号:71401120)资助的课题~~

摘　　要：在考虑行人视野范围的随机偏走格子气模型基础上,引入行人对前方开阔区域的移动偏好特性,提出改进的格子气模型,对通道内对向行人流进行仿真研究.模型再现了对向行人流在不同密度下出现的3种演化过程,发现了行人密度与对向行人流分层现象的形成具有随机性,以及统计了概率的变化趋势,同时分析了分层现象形成概率与系统几何尺寸参数、移动强度参数、右行人流比例参数和视野范围参数等的关系.分析结果表明,改进的模型能够再现实际低密度下对向行人流不会出现分层现象的特性.根据分层形成的概率,可将对向行人流的密度分为5个区间,不同区间的行人流演化过程各有差异.模型和分析结果对理解对向行人流的动态演化过程,提高通道内对向行人流的走行效率有一定帮助.In this paper, we extend a lattice gas model recently proposed by Li et al, which considers the view field of pedestrian. An improved lattice gas model takes into account the effect of pedestrians＇ walking preference feature of empty area in the view field to simulate traffic dynamics of pedestrian counter flow. Three dynamic evolution processes under different pedestrian density are reproduced. The randomness of lane formation for different pedestrian density is found, and the probability of lane formation is given. Numerical simulations of relationship diagrams between the probability of lane formation and parameters of the system geometry size, the probability and the proportion of right walker flow, the probability and the strength of the drift, also the probability and the view field size are investigated. Results show that the extended model cannot form for the lane formation under a low pedestrian density, which is associated with the real pedestrian traffic. It is found that the density of pedestrian counter flow could be divided into 5 intervals, and there are differences in the dynamic evolution processes between these 5 intervals. This model and its result is useful for the study of the dynamic evolution process, and is helpful for raising efficiency of pedestrian counter flow in the channel.

关 键 词：对向行人流 格子气模型 分层现象 概率 

分 类 号：U491[交通运输工程—交通运输规划与管理]