Devising of a method for analysing the propagation speed of car flows in a train formation plan based on synchronisation theory in complex networks

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.341559

Keywords:

Abstract

This study investigates freight transportation process in the railroad network, which is formalized in the form of a train formation plan (TFP) as a complex dynamic system.

To assess the dynamic properties of a freight transportation model at the macro level of railroad system functioning, a method has been devised for analyzing the speed of transferring railroad car flows in the network. The proposed method reflects coordination dynamics not through the time of physical passage of trains in the network but through the ability of the system that organizes car flows into trains to quickly form a coherent state. The Kuramoto model was used to determine the speed of coordination. That has made it possible to distinguish TFP networks.

The application of the devised method and the simulation made it possible to compare the structural and dynamic properties of existing transportation system over the period from 2013 to 2019. The limited ability of TFP networks to global phase integration has been proven. It has been established that the TFP network in 2019 demonstrated a loss of systemic coherence, which is typical of decentralized point-to-point transportation networks. That was confirmed by calculating λ22013 ≈ 19.913342 and λ22019 ≈ 0.497646, where the difference between spectral gaps reached two orders of magnitude, while the time to reach the maximum of the order parameter rmax in 2019 was 4.07 times greater at comparable values of the order and KC = 6. This indicates the transformation of the operating model from a centralized hub-and-spoke in 2013 to a more decentralized point-to-point model in 2019.

A special feature of the results based on the study is that the proposed method makes it possible to improve the quality of macroanalysis of changes in the structural and dynamic efficiency of the TFP network.

The scope of results practical application is the railroad industry. Conditions for the practical implementation of the findings are the importance of taking into account the results when analyzing operating TFPs

Author Biographies

Andrii Kyman, Ukrainian State University of Railway Transport

PhD, Associate Professor

Department of Cargo and Commercial Work Management

Andrii Prokhorchenko, Ukrainian State University of Railway Transport

Doctor of Technical Sciences, Professor

Department of Operational Work Management

Artem Panchenko, V. N. Karazin Kharkiv National University

PhD, Associate Professor

Department of Theoretical and Applied Computer Science

Serhii Zolotarov, Ukrainian State University of Railway Transport

PhD Student

Department of Operational Work Management

Mykhailo Kravchenko, Kernel-Trade LLC

PhD

Department of Transshipment and Fleet, Logistics Division

Halyna Prokhorchenko, Ukrainian State University of Railway Transport

PhD, Associate Professor

Department of Operational Work Management

Oleksandra Orda, Kharkiv National Automobile and Highway University

PhD, Associate Professor

Department of Transport Technologies

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Devising of a method for analysing the propagation speed of car flows in a train formation plan based on synchronisation theory in complex networks

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Published

2025-10-31

How to Cite

Kyman, A., Prokhorchenko, A., Panchenko, A., Zolotarov, S., Kravchenko, M., Prokhorchenko, H., & Orda, O. (2025). Devising of a method for analysing the propagation speed of car flows in a train formation plan based on synchronisation theory in complex networks. Eastern-European Journal of Enterprise Technologies, 5(3 (137), 56–67. https://doi.org/10.15587/1729-4061.2025.341559

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Control processes