Applying the maximum information principle to cell transmission model of traffic flow  

作　　者：刘喜敏 卢守峰 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University [2]Traffic and Transportation Engineering College and Key Laboratory of Road Structure and Material of Commu- nication Ministry, Changsha University of Science and Technology [3]Traffic and Transportation Engineering College, Changsha University of Science and Technology

出　　处：《Journal of Hydrodynamics》2013年第5期725-730,共6页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.71071024);the Hunan Provincial Natural Science Foundation(Grant No.12JJ2025)

摘　　要：This paper integrates the maximum information principle with the Cell Transmission Model （CTM） to formulate the velocity distribution evolution of vehicle traffic flow. The proposed discrete traffic kinetic model uses the cell transmission model to calculate the macroscopic variables of the vehicle transmission, and the maximum information principle to examine the velocity distribution in each cell. The velocity distribution based on maximum information principle is solved by the Lagrange multiplier method. The advantage of the proposed model is that it can simultaneously calculate the hydrodynamic variables and velocity distribution at the cell level. An example shows how the proposed model works. The proposed model is a hybrid traffic simulation model, which can be used to understand the self-organization phenomena in traffic flows and predict the traffic evolution.This paper integrates the maximum information principle with the Cell Transmission Model （CTM） to formulate the velocity distribution evolution of vehicle traffic flow. The proposed discrete traffic kinetic model uses the cell transmission model to calculate the macroscopic variables of the vehicle transmission, and the maximum information principle to examine the velocity distribution in each cell. The velocity distribution based on maximum information principle is solved by the Lagrange multiplier method. The advantage of the proposed model is that it can simultaneously calculate the hydrodynamic variables and velocity distribution at the cell level. An example shows how the proposed model works. The proposed model is a hybrid traffic simulation model, which can be used to understand the self-organization phenomena in traffic flows and predict the traffic evolution.

关 键 词：kinetic traffic model Cell Transmission Model （CTM） maximum information principle traffic flow velocity distribution 

分 类 号：U491.112[交通运输工程—交通运输规划与管理]