MODELING AND SIMULATION OF THE IMPACT
OF RAINFALL ON DRIVING VEHICLES

Raj Kumar Pradhan1,2, Samir Shrestha1,
Dil Bahadur Gurung1
1 Department of Mathematics, School of Science
Kathmandu University, Dhulikhel - 45210, NEPAL
2Department of Mathematics, Khwopa College, Dekocha
Bhaktapur - 44800, NEPAL

Abstract

Driving vehicles are impacted significantly by several environmental factors like rainfall, snowfall, storm, etc. Drivers attempt to adapt to the new environment by altering their driving behavior. In this paper, a new model equation of the dynamic equation of traffic flow under the consideration of different optimal velocities by incorporating the impact of rainfall on driving vehicles is proposed. The impact of rainfall is taken as the rainfall-resisting force on the vehicle proportional to the velocity of the driving vehicle. The parabolic impact of rainfall is studied on the driving vehicles that start at the green traffic signal at the intersection of the road. The dynamical behavior such as acceleration, velocity, and spacing between the consecutive vehicles of different car-following models are studied through the numerical simulation using the proposed model.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 2
Year: 2023

DOI: 10.12732/ijam.v36i2.3

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