Development of Mathematical Model for Traffic Flow within Speed Limitation

Oleg Danilov,Victor Kolesov,Denis Sorokin,T Maltseva

doi:10.1051/matecconf/20167301028

Oleg Danilov, Victor Kolesov + Show 2 more

Open Access

https://doi.org/10.1051/matecconf/20167301028

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Journal: MATEC Web of Conferences	Publication Date: Jan 1, 2016
Citations: 3	License type: cc-by

Affiliation: Industrial University of Tyumen

Abstract

The paper discusses a symbiotic model of the traffic flow, based on the classical model of the longitudinal dynamic gauge of the automobile and an alternative model developed by the authors. The presented mathematical model makes it possible to quantify the dynamic characteristics of the traffic flow for various levels of speed limitation and for a wide range of road conditions. The problem of structural and parametric identification of the mathematical model is challenging. A solution to this problem is based on the traffic flow theory, regression analysis and dynamic programming.

Highlights

Traffic management, road-traffic safety and environmental risks are priorities for improving the standards of living
“Car-Following” or “Follow-the-Leader” models are widely used for road-traffic safety; they are based on the longitudinal dynamic gauge (DG) of the automobile
The left parts of the graphs evaluated by (4) are highlighted in blue, and the right ones corresponding to the DG model – in black

Summary

Introduction

Road-traffic safety and environmental risks are priorities for improving the standards of living. It is possible to meet the challenges provided the traffic flow management principles (TF) are realized on the road network (RNW). Traffic flow management is intimately associated with the innovative approaches in the field of mathematical modeling. The TF dynamics analysis, identification of the structure and parameters of the TF models are the basis for sustainable development of the motor industry. “Car-Following” or “Follow-the-Leader” models are widely used for road-traffic safety; they are based on the longitudinal dynamic gauge (DG) of the automobile. In 1963 Tanaka proposed some new models based on DG [1]. Updating of the proposed models, development of new alternative solutions will make it possible to complete the tasks related to the study of the TF dynamics [1-19]

Technique

Results

Conclusion