Nonlocal approaches for multilane traffic models

نویسندگان

چکیده

We present a multilane traffic model based on balance laws, where the nonlocal source term is used to describe lane changing rate. The modelling framework includes consideration of local and flux functions. Based Godunov type numerical scheme, we provide BV estimates discrete entropy inequality. Together with $L^1$-contractivity property, prove existence uniqueness weak solutions. Numerical examples show impact compared functions sources.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Well Posedness for Multilane Traffic Models

We give rigorous results on the analytical properties of multilane traffic flow models based on hyperbolic balance laws. 2000 Mathematics Subject Classification: 35L65, 35L67, 90B20

متن کامل

A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling

In the present paper multilane models for vehicular traac are considered. A microscopic multilane model based on reaction thresholds is developed. Based on this model an Enskog like kinetic model is developed. In particular, care is taken to incorporate the correlations between the vehicles. From the kinetic model a uid dynamic model is derived. The macroscopic coeecients are deduced from the u...

متن کامل

Macroscopic dynamics of multilane traffic.

We present a macroscopic model of mixed multilane freeway traffic that can be easily calibrated to empirical traffic data, as is shown for Dutch highway data. The model is derived from a gas-kinetic level of description, including effects of vehicular space requirements and velocity correlations between successive vehicles. We also give a derivation of the lane-changing rates. The resulting dyn...

متن کامل

A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations

In this paper the work presented in 4] is continued. The present paper contains detailed numerical investigations of the models developed there. A numerical method to treat the kinetic equations obtained in 4] is presented. Space homogeneous and inhomogeneous situations are considered.

متن کامل

Multilane Traffic Density Estimation and Tracking

As the number of vehicles in roads increases, information of traffic density becomes crucial to municipalities for making better decisions about road management and to the environment for reduced carbon emission. Here, the problem of traffic density estimation is addressed when there is continuous influx of vehicle data. First the traffic density is modeled by the clusters of the speed groups t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications in Mathematical Sciences

سال: 2021

ISSN: ['1539-6746', '1945-0796']

DOI: https://doi.org/10.4310/cms.2021.v19.n8.a10