基于TASEP模型的两道交叉情形下车辆运动研究

Simulation study of vehicle motion density in two crossings based on TASEP model

输送现象广泛存在于社会中,对分析车辆运动规律、解决道路拥堵现象具有重要的现实应用价值。完全非对称排它过程(Totally Asymmetric Simple Exclusion Process,TASEP)模型是一种描述一维晶格上粒子运输的经典模型,已被广泛应用于交通领域。本文基于排他过程对双道交叉情境下车辆运动进行仿真研究,通过在模型中输入粒子(车辆)进入以及移出该模型(十字路口)的概率α和β,并多次改变α和β的大小,得到不同取值范围下的车辆运动规律密度图,发现在车辆运动过程中,系统始终存在3个稳定相位:高密度-高密度相(HH),低密度-低密度相(LL),高密度-低密度相(HL)。并且最终得到α、β与车辆在交叉道中密度的数学关系,且较为符合真实的交通状况,同时为研究城市交通流模型提供了借鉴。

The transportation phenomenon exists widely in society,and has important practical application value for analyzing the law of vehicle movement and solving road congestion.The Totally Asymmetric Simple Exclusion Process(TASEP)model is a classic model describing particle transport on a one-dimensional lattice,and has been widely used in the field of transportation.Based on the exclusive process,this paper conducts a simulation study on vehicle movement in the dual-lane intersection situation.By inputting the probabilityαandβof particles(vehicle)entering and moving out of the model(intersection)into the model,and changing the size ofαandβfor several times,the density diagram of vehicle motion law under different value ranges can be obtained.It is found that in the process of vehicle movement,there are always three stable phases in the system:high density-high density phase(HH),low density-low density phase(LL),high density-low density phase(HL).Finally,the mathematical relationship betweenα,βand vehicle density in the intersection is obtained,which is more in line with the real traffic conditions,and provides the reference for the study of urban traffic flow model.