Application of classical micromodels of follow-the-leader theory in modelling road traffic
- Authors: Kalmykov B.Y.1, Kharlamov P.V.2, Kalmykova O.M.1
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Affiliations:
- Institute of Service and Entrepreneurship (branch) of DGTU (the FSBEI "Don State Technical University") in Shakhty, Rostov Region, Chair "Automobile Transport and Technological Equipment"
- Rostov State Transport University (RSTU), Chair "Design and Technology of Machine Production"
- Issue: No 2 (2025)
- Pages: 188-194
- Section: Operation and logistics on transport
- URL: https://journals.rcsi.science/0201-727X/article/view/363088
- DOI: https://doi.org/10.46973/0201-727X_2025_2_188
- ID: 363088
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Abstract
The article presents an analysis of a mathematical nonlinear model of following a leader vehicle in a traffic flow for the purpose of rational organization of traffic on the city road network. Based on classical micromodels of the follow-the-leader theory, the authors propose mathematical expressions for calculating accelerations, speeds, and distances for a follower vehicle in a traffic flow, taking into account the time shift associated with the driver's reaction time. Graphs of the dependences of these parameters on the time of vehicle movement are obtained. A mathematical dependence is proposed that establishes a connection between the accelerations of the leader and follower vehicles in the analyzed traffic pattern.
About the authors
B. Yu. Kalmykov
Institute of Service and Entrepreneurship (branch) of DGTU (the FSBEI "Don State Technical University") in Shakhty, Rostov Region, Chair "Automobile Transport and Technological Equipment"
Author for correspondence.
Email: doc_tea@sssu.ru
Candidate of Engineering Sciences, Associate Professor, Head of Chair Shakhty, Rostov Region
P. V. Kharlamov
Rostov State Transport University (RSTU), Chair "Design and Technology of Machine Production"
Email: kcharlamov@yandex.ru
Doctor of Engineering Sciences, Associate Professor, Head of Chair
O. M. Kalmykova
Institute of Service and Entrepreneurship (branch) of DGTU (the FSBEI "Don State Technical University") in Shakhty, Rostov Region, Chair "Automobile Transport and Technological Equipment"
Email: doc_tea@sssu.ru
Candidate of Philosophical Sciences, Associate Professor Shakhty, Rostov Region
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