Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models

Although transit stop location problem has been extensively studied, the two main categories of modeling methodologies, i.e., discrete models and continuum approximation (CA) ones, seem have little intersection. Both have strengths and weaknesses, respectively. This study intends to integrate them b...

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Main Authors: Xiaoling Luo, Wenbo Fan, Yangsheng Jiang, Jun Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2020/8872748
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author Xiaoling Luo
Wenbo Fan
Yangsheng Jiang
Jun Zhang
author_facet Xiaoling Luo
Wenbo Fan
Yangsheng Jiang
Jun Zhang
author_sort Xiaoling Luo
collection DOAJ
description Although transit stop location problem has been extensively studied, the two main categories of modeling methodologies, i.e., discrete models and continuum approximation (CA) ones, seem have little intersection. Both have strengths and weaknesses, respectively. This study intends to integrate them by taking the advantage of CA models’ parsimonious property and discrete models’ fine consideration of practical conditions. In doing so, we first employ the state-of-the-art CA models to yield the optimal design, which serves as the input to the next discrete model. Then, the stop location problem is formulated into a multivariable nonlinear minimization problem with a given number of stop location variables and location constraint. The interior-point algorithm is presented to find the optimal design that is ready for implementation. In numerical studies, the proposed model is applied to a variety of scenarios with respect to demand levels, spatial heterogeneity, and route length. The results demonstrate the consistent advantage of the proposed model in all scenarios as against its counterparts, i.e., two existing recipes that convert CA model-based solution into real design of stop locations. Lastly, a case study is presented using real data and practical constraints for the adjustment of a bus route in Chengdu (China). System cost saving of 15.79% is observed by before-and-after comparison.
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spelling doaj-art-728eae59e18a4d53afb5590e483c7f592025-02-03T01:00:07ZengWileyJournal of Advanced Transportation0197-67292042-31952020-01-01202010.1155/2020/88727488872748Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete ModelsXiaoling Luo0Wenbo Fan1Yangsheng Jiang2Jun Zhang3School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan 611756, ChinaSchool of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan 611756, ChinaSchool of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan 611756, ChinaOffice of Science Research & Development, Southwest Jiaotong University, Chengdu, Sichuan 611756, ChinaAlthough transit stop location problem has been extensively studied, the two main categories of modeling methodologies, i.e., discrete models and continuum approximation (CA) ones, seem have little intersection. Both have strengths and weaknesses, respectively. This study intends to integrate them by taking the advantage of CA models’ parsimonious property and discrete models’ fine consideration of practical conditions. In doing so, we first employ the state-of-the-art CA models to yield the optimal design, which serves as the input to the next discrete model. Then, the stop location problem is formulated into a multivariable nonlinear minimization problem with a given number of stop location variables and location constraint. The interior-point algorithm is presented to find the optimal design that is ready for implementation. In numerical studies, the proposed model is applied to a variety of scenarios with respect to demand levels, spatial heterogeneity, and route length. The results demonstrate the consistent advantage of the proposed model in all scenarios as against its counterparts, i.e., two existing recipes that convert CA model-based solution into real design of stop locations. Lastly, a case study is presented using real data and practical constraints for the adjustment of a bus route in Chengdu (China). System cost saving of 15.79% is observed by before-and-after comparison.http://dx.doi.org/10.1155/2020/8872748
spellingShingle Xiaoling Luo
Wenbo Fan
Yangsheng Jiang
Jun Zhang
Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
Journal of Advanced Transportation
title Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
title_full Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
title_fullStr Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
title_full_unstemmed Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
title_short Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models
title_sort optimal design of bus stop locations integrating continuum approximation and discrete models
url http://dx.doi.org/10.1155/2020/8872748
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AT wenbofan optimaldesignofbusstoplocationsintegratingcontinuumapproximationanddiscretemodels
AT yangshengjiang optimaldesignofbusstoplocationsintegratingcontinuumapproximationanddiscretemodels
AT junzhang optimaldesignofbusstoplocationsintegratingcontinuumapproximationanddiscretemodels