Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment

A properly designed public transport system is expected to improve traffic efficiency. A high-frequency bus service would decrease the waiting time for passengers, but the interaction between buses and cars might result in more serious congestion. On the other hand, a low-frequency bus service would...

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Main Authors: Kai Yuan, Dandan Cui, Jiancheng Long
Format: Article
Language:English
Published: Maximum Academic Press 2023-12-01
Series:Digital Transportation and Safety
Subjects:
Online Access:https://www.maxapress.com/article/doi/10.48130/DTS-2023-0020
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author Kai Yuan
Dandan Cui
Jiancheng Long
author_facet Kai Yuan
Dandan Cui
Jiancheng Long
author_sort Kai Yuan
collection DOAJ
description A properly designed public transport system is expected to improve traffic efficiency. A high-frequency bus service would decrease the waiting time for passengers, but the interaction between buses and cars might result in more serious congestion. On the other hand, a low-frequency bus service would increase the waiting time for passengers and would not reduce the use of private cars. It is important to strike a balance between high and low frequencies in order to minimize the total delays for all road users. It is critical to formulate the impacts of bus frequency on congestion dynamics and mode choices. However, as far as the authors know, most proposed bus frequency optimization formulations are based on static demand and the Bureau of Public Roads function, and do not properly consider the congestion dynamics and their impacts on mode choices. To fill this gap, this paper proposes a bi-level optimization model. A three-dimensional Macroscopic Fundamental Diagram based modeling approach is developed to capture the bi-modal congestion dynamics. A variational inequality model for the user equilibrium in mode choices is presented and solved using a double projection algorithm. A surrogate model-based algorithm is used to solve the bi-level programming problem.
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publishDate 2023-12-01
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spelling doaj-art-61005231a9ca457aaeef255176abd10a2025-08-20T02:12:30ZengMaximum Academic PressDigital Transportation and Safety2837-78422023-12-012424125210.48130/DTS-2023-0020DTS-2023-0020Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignmentKai Yuan0Dandan Cui1Jiancheng Long2School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei 230009, Anhui, ChinaSchool of Automotive and Transportation Engineering, Hefei University of Technology, Hefei 230009, Anhui, ChinaSchool of Automotive and Transportation Engineering, Hefei University of Technology, Hefei 230009, Anhui, ChinaA properly designed public transport system is expected to improve traffic efficiency. A high-frequency bus service would decrease the waiting time for passengers, but the interaction between buses and cars might result in more serious congestion. On the other hand, a low-frequency bus service would increase the waiting time for passengers and would not reduce the use of private cars. It is important to strike a balance between high and low frequencies in order to minimize the total delays for all road users. It is critical to formulate the impacts of bus frequency on congestion dynamics and mode choices. However, as far as the authors know, most proposed bus frequency optimization formulations are based on static demand and the Bureau of Public Roads function, and do not properly consider the congestion dynamics and their impacts on mode choices. To fill this gap, this paper proposes a bi-level optimization model. A three-dimensional Macroscopic Fundamental Diagram based modeling approach is developed to capture the bi-modal congestion dynamics. A variational inequality model for the user equilibrium in mode choices is presented and solved using a double projection algorithm. A surrogate model-based algorithm is used to solve the bi-level programming problem.https://www.maxapress.com/article/doi/10.48130/DTS-2023-0020three-dimensional macroscopic fundamental diagramdynamic traffic assignmentbi-level programming modeldouble projection algorithmsurrogate model-based algorithm
spellingShingle Kai Yuan
Dandan Cui
Jiancheng Long
Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
Digital Transportation and Safety
three-dimensional macroscopic fundamental diagram
dynamic traffic assignment
bi-level programming model
double projection algorithm
surrogate model-based algorithm
title Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
title_full Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
title_fullStr Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
title_full_unstemmed Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
title_short Bus frequency optimization in a large-scale multi-modal transportation system: integrating 3D-MFD and dynamic traffic assignment
title_sort bus frequency optimization in a large scale multi modal transportation system integrating 3d mfd and dynamic traffic assignment
topic three-dimensional macroscopic fundamental diagram
dynamic traffic assignment
bi-level programming model
double projection algorithm
surrogate model-based algorithm
url https://www.maxapress.com/article/doi/10.48130/DTS-2023-0020
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AT dandancui busfrequencyoptimizationinalargescalemultimodaltransportationsystemintegrating3dmfdanddynamictrafficassignment
AT jianchenglong busfrequencyoptimizationinalargescalemultimodaltransportationsystemintegrating3dmfdanddynamictrafficassignment