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Research Article | Open Access

Mathematical modeling for the development of traffic based on the theory of system dynamics

Juan Manuel Sánchez1Adrián Valverde1Juan L. G. Guirao1( )Huatao Chen2
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain
Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China
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Abstract

This paper is concerned with mathematical modeling for the development of Shandong traffic. The system dynamics model of the development of traffic in Shandong is established. In terms of this model, it is shown that highway operation as well as rail transit promotes the development of traffic, while traffic accidents inhibit traffic development. Moreover, the maximum error between the output data and the statistics bureau, based on which some forecasts for the development of traffic in the future are given, is obtained, some suggestions and optimization schemes for traffic development are given. Finally, a neural network model of the development of Shandong traffic is also derived.

CLC number: 34A37

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AIMS Mathematics
Pages 27626-27642

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Cite this article:
Sánchez JM, Valverde A, Guirao JLG, et al. Mathematical modeling for the development of traffic based on the theory of system dynamics. AIMS Mathematics, 2023, 8(11): 27626-27642. https://doi.org/10.3934/math.20231413

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Received: 02 May 2023
Revised: 25 July 2023
Accepted: 15 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)