Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation
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 net...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2013-12-01
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| Series: | Transport |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/Transport/article/view/4222 |
| _version_ | 1818875057851596800 |
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| author | Nina Kuzhel Andrii Bieliatynskyi Olegas Prentkovskis Iryna Klymenko Šarūnas Mikaliūnas Olena Kolganova Svitlana Kornienko Volodymyr Shutko |
| author_facet | Nina Kuzhel Andrii Bieliatynskyi Olegas Prentkovskis Iryna Klymenko Šarūnas Mikaliūnas Olena Kolganova Svitlana Kornienko Volodymyr Shutko |
| author_sort | Nina Kuzhel |
| collection | DOAJ |
| description | 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_indexed | 2024-12-19T13:20:27Z |
| format | Article |
| id | doaj.art-c999b6fbba4d4980adc5968a1f55190b |
| institution | Directory Open Access Journal |
| issn | 1648-4142 1648-3480 |
| language | English |
| last_indexed | 2024-12-19T13:20:27Z |
| publishDate | 2013-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Transport |
| spelling | doaj.art-c999b6fbba4d4980adc5968a1f55190b2022-12-21T20:19:44ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802013-12-0128410.3846/16484142.2013.868369Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformationNina Kuzhel0Andrii Bieliatynskyi1Olegas Prentkovskis2Iryna Klymenko3Šarūnas Mikaliūnas4Olena Kolganova5Svitlana Kornienko6Volodymyr Shutko7Dept of Air Transportation Management, National Aviation University, Kosmonavta Komarova ave 1, 03680 Kyiv, UkraineDept of Airport Reconstruction and Automobile Roads, National Aviation University, Kosmonavta Komarova ave 1, 03680 Kyiv, UkraineDept of Transport Technological Equipment, Vilnius Gediminas Technical University, Plytinės g. 27, LT-10105 Vilnius, LithuaniaDept of Economics, National University of Transport, Suvorova str. 1, 01010 Kyiv, Ukraine 5Dept of Railway Transport, Vilnius Gediminas Technical University, J. Basanavičiaus g. 28, LT-03224 Vilnius, LithuaniaDept of Railway Transport, Vilnius Gediminas Technical University, J. Basanavičiaus g. 28, LT-03224 Vilnius, LithuaniaDept of Information Security, National Aviation University, Kosmonavta Komarova ave 1, 03680 Kyiv, UkraineDept of Aviation Radioelectronic Complexes, National Aviation University, Kosmonavta Komarova ave 1, 03680 Kyiv, UkraineDept of Electronics, National Aviation University, Kosmonavta Komarova ave 1, 03680 Kyiv, UkraineAs 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.https://journals.vgtu.lt/index.php/Transport/article/view/4222traffic flowcar speedcar accelerationcolumn movementfollowing-the-leader modelfast spline transformation |
| spellingShingle | Nina Kuzhel Andrii Bieliatynskyi Olegas Prentkovskis Iryna Klymenko Šarūnas Mikaliūnas Olena Kolganova Svitlana Kornienko Volodymyr Shutko Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation Transport traffic flow car speed car acceleration column movement following-the-leader model fast spline transformation |
| title | Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation |
| title_full | Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation |
| title_fullStr | Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation |
| title_full_unstemmed | Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation |
| title_short | Methods for numerical calculation of parameters pertaining to the microscopic following-the-leader model of traffic flow: using the fast spline transformation |
| title_sort | methods for numerical calculation of parameters pertaining to the microscopic following the leader model of traffic flow using the fast spline transformation |
| topic | traffic flow car speed car acceleration column movement following-the-leader model fast spline transformation |
| url | https://journals.vgtu.lt/index.php/Transport/article/view/4222 |
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