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A Bi-Level Programming Model for Optimal Bus Stop Spacing of a Bus Rapid Transit System

1
College of Engineering, Tibet University, Lhasa 850000, China
2
College of Transportation, Jilin University, Changchun 130000, China
3
Jiangsu Key Laboratory of Urban ITS, Southeast University, Nanjing 210000, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(7), 625; https://doi.org/10.3390/math7070625
Received: 29 April 2019 / Revised: 3 July 2019 / Accepted: 11 July 2019 / Published: 14 July 2019
(This article belongs to the Section Engineering Mathematics)
PDF [899 KB, uploaded 14 July 2019]

Abstract

The purpose of this study is to create a bi-level programming model for the optimal bus stop spacing of a bus rapid transit (BRT) system, to ensure simultaneous coordination and consider the interests of bus companies and passengers. The top-level model attempts to optimize and determine optimal bus stop spacing to minimize the equivalent costs, including wait, in-vehicle, walk, and operator costs, while the bottom-level model reveals the relation between the locations of stops and spatial service coverage to attract an increasing number of passengers. A case study of Chengdu, by making use of a genetic algorithm, is presented to highlight the validity and practicability of the proposed model and analyze the sensitivity of the coverage coefficient, headway, and speed with different spacing between bus stops.
Keywords: bus rapid transit; stop spacing; bi-level programming model; genetic algorithms bus rapid transit; stop spacing; bi-level programming model; genetic algorithms
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Cheng, G.; Zhao, S.; Zhang, T. A Bi-Level Programming Model for Optimal Bus Stop Spacing of a Bus Rapid Transit System. Mathematics 2019, 7, 625.

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