Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation
| Autor: | Svitlana Kornienko, Šarūnas Mikaliūnas, Andrii Bieliatynskyi, Iryna Klymenko, Olena Kolganova, Olegas Prentkovskis, Nina Kuzhel, Volodymyr Shutko |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Transportation planning
Engineering Traffic congestion reconstruction with Kerner's three-phase theory TA1001-1280 business.industry Mechanical Engineering Control engineering numerical calculation column movement Car following car acceleration Transportation engineering traffic flow Microscopic traffic flow model Spline (mathematics) Traffic congestion Signage car speed following-the-leader model Automotive Engineering business Simulation Second derivative fast spline transformation |
| Zdroj: | Transport; Vol 28 No 4 (2013); 413-419 Transport, Vol 28, Iss 4 (2013) |
| ISSN: | 1648-4142 1648-3480 |
| Popis: | As known in transport engineering, civil engineering, transport planning and mathematics, traffic flow is the study of interactions between vehicles, drivers and infrastructure (including highways, signage and traffic control devices), with the aim of understanding and developing an optimal road network with efficient movement of traffic and minimal traffic congestion problems. The presented paper discusses a small part of a traffic flow study – the development of the methodology for assessing the speed and acceleration of a car during the column movement followingthe-leader, based on a new mathematical method. Two methods – (1) the numerical calculation of the first derivative, i.e. speed of the car movement; (2) the numerical calculation of the second derivative, i.e. acceleration of the car movement – were developed, using the fast spline transformation. In the future, parameters obtained with the help of two new methods, can be used to solve complex transportation problems, such as: (1) control of traffic flows; (2) organisation of harmonised work of traffic lights; (3) analysis of psycho-physiological condition of a driver, etc. First Published Online: 24 Dec 2013 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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