AN ALGORITHM FOR TRAFFIC DENSITY DETERMINATION FOR NON HOMOGENEOUS LWR PROBLEM WITH THE MIXED BOUNDARY CONDITION

Nguyễn Đình Dũng

doi:10.34238/tnu-jst.5050

AN ALGORITHM FOR TRAFFIC DENSITY DETERMINATION FOR NON HOMOGENEOUS LWR PROBLEM WITH THE MIXED BOUNDARY CONDITION

About this article

Received: 14/09/21 Revised: 05/11/21 Published: 08/11/21

Authors

Nguyen Dinh Dung , TNU - University of Information and Communication Technology

Abstract

In last few decades, it is observed that urban transport faces several problems due to rapid urbanization and motorization. Therefore, it is necessary to develop a sustainable transport system. The promotion of Intelligent Transportation System is one of the measures to minimize inconvenience of congested roads and raising the level of service of the roads. Traffic flow broblem plays a pivotal role in predicting the onset of traffic congestion. This broblem can be defined as the study of how the vehicles move between origin and destination, mathematical models have been built which study the consistent behavior between the traffic streams via relationships such as flow, density and the mean velocity, traffic flow was represented using a first order partial differential equation and was based on a hyperbolic system of conversation laws. In this paper, we consider one- nonhomogeneous equation Lighthill Witham Richards (LWR) model combined with the mixed boundary condition and designing an algorithm to solve this problem.

Keywords

Intelligent traffic; Conservation laws; Traffic flow; Difference scheme; Numerical algorithms

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DOI: https://doi.org/10.34238/tnu-jst.5050

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