Tamás Péter

Modeling nonlinear road traffic networks for junction control

Abstract The paper introduces a method of mathematical modeling of high scale road traffic networks, where a new special hypermatrix structure is intended to be used. The structure describes the inner–inner, inner–outer and outer–outer relations, and laws of a network area. The research examines the nonlinear equation system. The analysed model can be applied to the testing and planning of large-scale road traffic networks and the regulation of traffic systems. The elaborated model is in state space form, where the states are vehicle densities on a particular lane and the dynamics are described by a nonlinear state constrained positive system. This model can be used directly for simulation and analysis and as a starting point for investigating various control strategies. The stability of the traffic over the network can be analyzed by constructing a linear Lyapunov function and the associated theory. The model points out that in intersection control one must take the traffic density values of both the input and the output sections into account. Generally, the control of any domain has to take the density of input and output sections into consideration.

Modified Intelligent Driver Model for driver safety and traffic stability improvement

Abstract The Intelligent Driver Model (IDM) is an Adaptive Cruise Control (ACC) model which is widely used for longitudinal vehicle motion modeling. The IDM presents important advantages against the other ACC models which are the availability and the intuitive of its parameters. Nevertheless, it presents some drawbacks such us the exceeding of the real vehicle deceleration. Moreover, the IDM does not totally guarantee the traffic safety in case of accident scenario in terms of collision number. This paper deals with IDM modification to improve the driver safety and to respect the real vehicle capability. Considering the last two modifications and assuming that the driver should takes into account the tail vehicle behavior, a new IDM version is developed and tested with a microscopic traffic simulator in terms of string stabilization. Results show good performance in terms of traffic safety as well as the string stability.

Model for the analysis of traffic networks and traffic modelling of Gy***ör

Abstract The systems describing the process of road traffic are large stochastic dynamic systems. The new description of the dynamic model of the system is the base for the calculation and control of the system processes. In this paper we present a domain-level optimal control for traffic networks applying Lyapunov function, and we detail the linkage of this control to our macroscopic non-linear positive systems class derived model. We also introduce examples of modeling with this method and applying two-level domain control on a realized network model of city Gy***or. The described control can be expanded to have respect to the reduction of pollution emitted by traffic.

Variable Network Model

Abstract Exploration and analysis of the possible application of state-dependent control through changing the structure of the above road traffic systems

Generalized velocity–density model based on microscopic traffic simulation

In case of the Intelligent Driver Model (IDM) the actual Velocity–Density law V(D) applied by this dynamic system is not defined, only the dynamic behaviour of the vehicles/drivers is determined. Therefore, the logical question is whether the related investigations enhance an existing and known law or reveal a new connection. Specifically, which function class/type is enhanced by the IDM? The publication presents a model analysis, the goal of which was the exploration of a feature of the IDM, which, as yet, ‘remained hidden’. The theoretical model results are useful, this analysis important in the practice in the field of hybrid control as well. The transfer of the IDM groups through large-scale networks has special practical significance. For example, in convoys, groups of special vehicle, safety measures with delegations. In this case, the large-scale network traffic characteristics and the IDM traffic characteristics should be taken into account simultaneously. Important characteristics are the speed–density laws. In case of effective modelling of large networks macroscopic models are used, however the IDMs are microscopic. With careful modelling, we cannot be in contradiction with the application of speed–density law, where there IDM convoy passes. Therefore, in terms of practical applications, it is important to recognize what kind of speed–density law is applied by the IDM convoys in traffic. Therefore, in our case the goal was not the validation of the model, but the exploration of a further feature of the validated model. The separate validation of the model was not necessary, since many validated applications for this model have been demonstrated in practice. In our calculations, also the applied model parameter values remained in the range of the model parameters used in the literature. This paper presents a new approach for Velocity–Density Model (VDM) synthesis. It consists in modelling separately each of the density and the velocity (macroscopic parameter). From this study, safety time headway (microscopic parameter) can be identified from macroscopic data by mean of interpolation method in the developed map of velocity–density. By combining the density and the velocity models, a generalized new VDM is developed. It is shown that from this one, some literature VDMs, as well as their properties, can be derived by fixing some of its parameters. First published online 12 April 2017

Combined Mathematical Modeling of Different Transport Networks, Considerations and Complex Analysis

On the grounds of our traffic network model developments an exact mathematical model can be created based on the union of different types of transport networks. The initial network is the vehicle traffic network that integrates the public transport network as well. During this study the union of road and pedestrian networks is initially created and then we further examine the possibility of generalization of complex networks thereafter.

Complex analysis of vehicle and environment dynamics

This paper introduces mathematical modelling, the development of diagnostic methods and the design of producing a prototype. Its aim is to establish a new, accredited research laboratory for the testing and quality assurance of hybrid and electric driven vehicles. The task is very complex and it puts special emphasis on environmental and safety issues. It highlights the fact that its application under laboratory conditions establishes a new situation for measurement. It points out that the complex research which develops diagnostic techniques and procedures related to real operation and urban environment, moreover, applies optimal planning methods still has novelty.

An in-depth analysis of cycling and pedestrian accidents in Hungary

The National Committee for Accident Prevention (OBB) of the National Police Headquarters of Hungary (ORFK) has ordered an analytical research on accidents involving cyclists and pedestrians in 2013-14. The Department of Automotive and Railway Engineering at Széchenyi István University Györ has carried out an evaluative and analytical study on this issue and has made proposals based on the results of the study. Within the framework of this project, it has also set out actions aiming to increase road safety. The following study gives an insight into this analysis.

Examinations of complex traffic dynamic systems and new analysis, modeling and simulation of electrical vehicular systems

A validated, quick and cost-effective alternative method can be applied to analyze driver load, which is based on the track record of the city, traffic simulation model and parameters of the vehicle and driver characteristics.