Stochastic parameter-optimized car-following model considering heterogeneous traffic flow

In order to examine the impact of traffic flow heterogeneity on vehicle following behavior, we propose an improved optimized speed function based on the stochastic parametric linear regression method. The speed-density data for traffic flow are categorized using quantile regression. Random parameter...

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Main Authors: PAN Yiyong, QUAN Yongjun, GUAN Xingyu
Format: Article
Language:English
Published: Science Press (China Science Publishing & Media Ltd.) 2024-07-01
Series:Shenzhen Daxue xuebao. Ligong ban
Subjects:
Online Access:https://journal.szu.edu.cn/en/#/digest?ArticleID=2656
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author PAN Yiyong
QUAN Yongjun
GUAN Xingyu
author_facet PAN Yiyong
QUAN Yongjun
GUAN Xingyu
author_sort PAN Yiyong
collection DOAJ
description In order to examine the impact of traffic flow heterogeneity on vehicle following behavior, we propose an improved optimized speed function based on the stochastic parametric linear regression method. The speed-density data for traffic flow are categorized using quantile regression. Random parameter linear regression is then applied to each data category, resulting in improved optimal velocity function and hypothesis testing for each category. The stochastic optimal velocity car-following model is developed by integrating the enhanced optimal velocity function with full velocity difference car-following model. The stability of the car-following model is analyzed by applying Fourier transform theory. Numerical experiments on the car-following model are conducted through a simulation platform for circular lanes. The results indicate that categorization reduces the error of the random parameter model by 28% compared to the model without categorization. Additionally, the speed of the random parameter car-following fleet increases with the addition of 0.5 quantile vehicles. The random parameter car-following model fleet is better suited to reflect the impact of traffic flow heterogeneity on the fleet than the fixed parameter car-following model fleet. The model can enhance the simulation aspect and accurately depict the intricate functioning of traffic flow.
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publisher Science Press (China Science Publishing & Media Ltd.)
record_format Article
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spelling doaj-art-2d35c74bd2814cde874c3dfe546c6e5a2025-08-20T02:56:36ZengScience Press (China Science Publishing & Media Ltd.)Shenzhen Daxue xuebao. Ligong ban1000-26182024-07-0141441542210.3724/SP.J.1249.2024.044151000-2618(2024)04-0415-08Stochastic parameter-optimized car-following model considering heterogeneous traffic flowPAN Yiyong0QUAN Yongjun1GUAN Xingyu2College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, Jiangsu Province, P.R.ChinaCollege of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, Jiangsu Province, P.R.ChinaCollege of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, Jiangsu Province, P.R.ChinaIn order to examine the impact of traffic flow heterogeneity on vehicle following behavior, we propose an improved optimized speed function based on the stochastic parametric linear regression method. The speed-density data for traffic flow are categorized using quantile regression. Random parameter linear regression is then applied to each data category, resulting in improved optimal velocity function and hypothesis testing for each category. The stochastic optimal velocity car-following model is developed by integrating the enhanced optimal velocity function with full velocity difference car-following model. The stability of the car-following model is analyzed by applying Fourier transform theory. Numerical experiments on the car-following model are conducted through a simulation platform for circular lanes. The results indicate that categorization reduces the error of the random parameter model by 28% compared to the model without categorization. Additionally, the speed of the random parameter car-following fleet increases with the addition of 0.5 quantile vehicles. The random parameter car-following model fleet is better suited to reflect the impact of traffic flow heterogeneity on the fleet than the fixed parameter car-following model fleet. The model can enhance the simulation aspect and accurately depict the intricate functioning of traffic flow.https://journal.szu.edu.cn/en/#/digest?ArticleID=2656traffic engineeringtraffic flow theoryquantile regressionrandom parameter linear regressionoptimal velocity functioncar-following modelstability analysis
spellingShingle PAN Yiyong
QUAN Yongjun
GUAN Xingyu
Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
Shenzhen Daxue xuebao. Ligong ban
traffic engineering
traffic flow theory
quantile regression
random parameter linear regression
optimal velocity function
car-following model
stability analysis
title Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
title_full Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
title_fullStr Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
title_full_unstemmed Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
title_short Stochastic parameter-optimized car-following model considering heterogeneous traffic flow
title_sort stochastic parameter optimized car following model considering heterogeneous traffic flow
topic traffic engineering
traffic flow theory
quantile regression
random parameter linear regression
optimal velocity function
car-following model
stability analysis
url https://journal.szu.edu.cn/en/#/digest?ArticleID=2656
work_keys_str_mv AT panyiyong stochasticparameteroptimizedcarfollowingmodelconsideringheterogeneoustrafficflow
AT quanyongjun stochasticparameteroptimizedcarfollowingmodelconsideringheterogeneoustrafficflow
AT guanxingyu stochasticparameteroptimizedcarfollowingmodelconsideringheterogeneoustrafficflow