Modeling of the traffic flows using the method of the concentrated parameters in the streets network

Raimundas Junevičius

Doctoral dissertation

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Technological sciences, transport engineering (03T).

Mathematical models of traffic flows are under investigation in this scientific doctoral dissertation. A universe mathematical model to model city traffic flow is presented. Traffic flow models are described and the possibility of the usage of these models to control or redistribute city traffic is shown. New method of the traffic flow as nonlinear dynamic system based on the concentrated parameters with the time delay is presented. Continuum traffic flow model based on the Gas Kinetic theory is compared with the new one. Equations of these models are solved using characteristic and the Runge-Kutta methods.

Thesis includes an introduction, four chapters, conclusions, the list of the used literature and the list of publications of the dissertation author. The object of the study, problem of investigation, actuality is described in the introduction. There are presented: research methodology, scientific novelty, research methods, topicality of the thesis. The introduction is finalised with the list of publications and the structure of the dissertation.

Analysis of the mathematical models and problematic aspects of the modeling are presented in first chapter.

Equations of Kinetic traffic flow model are rewritten in the algebraic form and are prepared to solve using characteristic method is presented. New traffic flow, as nonlinear dynamic system, model with the concentrated parameters is presented. This model derives straight road parts and intersections of a city network. The stability of the solution is analyzed.

The solution of the theoretical model which is described in the section two is presented in the section three. Mathematical experiments are made on the straight road section and the traffic flow network using two models, kinetic theory and the new theory. The modeling results are listed in the pictures of this section.

Chapter four makes a comparison between experimental and simulation results and provides with an example of applying the mode in practice. There are compared measured and simulated traffic flow parameters. Internal conbustion engine’s emission simulation is presented as an example to show the possibility of usage of the model.

The subject matter of the above presented thesis was discussed in 7 scientific articles: three articles were published in the Thomson ISI Web of Science journals, one – in the ISI Proceedings, one – in the peer-reviewed material of the international conference and two – in the material of other national and international conferences.

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Imprint No:
160×230 mm
126 p.
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