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

Juan Manuel Sánchez; Adrián Valverde; Juan L. G. Guirao; Huatao Chen; Juan Manuel Sánchez; Adrián Valverde; Juan L. G. Guirao; Huatao Chen

doi:10.3934/math.20231413

AIMS Mathematics

2023, Volume 8, Issue 11: 27626-27642. doi: 10.3934/math.20231413

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Research article

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

1.
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain
2.
Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China

Received: 02 May 2023 Revised: 25 July 2023 Accepted: 15 August 2023 Published: 07 October 2023
MSC : 34A37

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.
- traffic development,
- system dynamics,
- neural network model
Citation: Juan Manuel Sánchez, Adrián Valverde, Juan L. G. Guirao, Huatao Chen. Mathematical modeling for the development of traffic based on the theory of system dynamics[J]. AIMS Mathematics, 2023, 8(11): 27626-27642. doi: 10.3934/math.20231413

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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.

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