Krisztián Szabó

55765988100

Publications - 4

Mathematical Description of the Universal IDM - some Comments and Application

Publication Name: Acta Polytechnica Hungarica

Publication Date: 2023-01-01

Volume: 20

Issue: 7

Page Range: 99-115

Description:

The aim of the study is to define and mathematically describe the universal IDM. An important result of this research is that the model uses a single system of differential equations. It is able to simultaneously describe the dynamic operations of the IDM systems for all different vehicle sequences. The aim of the study is to support the driving of autonomous vehicles by taking into account the dynamic variations in the state characteristics of traffic processes. The approach used is motivated by important issues in current modelling techniques that address significant economic problems in the application of large-scale ITS network models. This also points to a new opportunity in the key area of vehicle traffic management, in the related targeted fundamental research, particularly in the analysis of traffic processes in large-scale dynamic networks.

Open Access: Yes

DOI: 10.12700/APH.20.7.2023.7.6

Analysis of network traversal and qualification of the testing values of trajectories

Publication Name: Acta Polytechnica Hungarica

Publication Date: 2021-01-01

Volume: 18

Issue: 10

Page Range: 151-171

Description:

This research work is aimed directly at the study of network traversal, for the design of vehicle dynamics and driving test programs. The work can be applied more widely to the qualification of test tracks. In addition to general modelling, this method can also be used to investigate the formation of loops in order to take into account, the sub-routes, multiple times. An important area of its application is the more comprehensive analysis of complex loads, as well as, the development of learning algorithms, which can be achieved by repeating multiple traversals of certain track sections within a series of measurements, and can be used for the development of on-board vehicle systems. The mathematical modelling is presented through the application of the geometric graph and subgraphs of the track. The properties of the Markov model extracted from the connection matrix of the large-scale network model are also presented. In this way, the modelling is extended to the application of the connection matrix of the large-scale network model as well. The modelling and computational details are demonstrated by means of a computer based, algebraic program. This modelling and the results of the calculations, will allow the further development of a test program design and related evaluation methods.

Open Access: Yes

DOI: DOI not available

Questions regarding vehicle safety and the mathematical analysis of safety in large scale networks using positive dynamic systems and probability theory methods

Publication Name: 2018 14th IEEE ASME International Conference on Mechatronic and Embedded Systems and Applications Mesa 2018

Publication Date: 2018-08-27

Volume: Unknown

Issue: Unknown

Page Range: Unknown

Description:

This paper introduces the mathematical modeling, safety analysis and development of diagnostic methods. 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.

Open Access: Yes

DOI: 10.1109/MESA.2018.8449171

Mathematical modeling of automotive supply chain networks

Publication Name: Periodica Polytechnica Transportation Engineering

Publication Date: 2016-01-01

Volume: 44

Issue: 3

Page Range: 181-186

Description:

The aim of this research is to set up a possible model for describing automotive supply chain networks. The work to be presented analyses the real-world environment and its changes in a broader view. The research provides the extension of the mathematical modeling domain, accordingly. The paper studies the basic relational structure of automotive supply chain, where the methodology is determined by the classical business strategic levels. This is done by combining the theories of network and theories for traffic systems. We uncover the hidden relational parallelism between the automotive supply chain and positive systems, complex networks and find that the industry network shows some similar scale-free structural properties indicating the existence of a typical dependence and dominance structure with complex dynamical behavior.

Open Access: Yes

DOI: 10.3311/PPtr.9544