Zone Fare System Design in a Rail Transit Line

As a widely existing form of public transit fare structures, zone fare system is traditionally designed in a separate way, which may lead to suboptimal results. This paper aims to concurrently address the zone division and fare calculation issues of the zone fare system design in a rail transit line...

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Main Authors: Yi Yang, Lianbo Deng, Qing Wang, Wenliang Zhou
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2020/2470579
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author Yi Yang
Lianbo Deng
Qing Wang
Wenliang Zhou
author_facet Yi Yang
Lianbo Deng
Qing Wang
Wenliang Zhou
author_sort Yi Yang
collection DOAJ
description As a widely existing form of public transit fare structures, zone fare system is traditionally designed in a separate way, which may lead to suboptimal results. This paper aims to concurrently address the zone division and fare calculation issues of the zone fare system design in a rail transit line. It is necessary to consider passengers as well as operators to find an impartial zone fare system. A fair zone fare system is one where the zone fares are as close as possible to the distance-based fares, for the fares of the distance-based fare system are highly correlated with the actual distance of trips. Thus, the fare deviations for the trips between the zone fare system and the distance-based fare system are utilized as the evaluation metric of fairness. To achieve the goal of minimizing fare deviations for all trips, we introduce three indexes: average absolute deviation, average squared deviation, and maximum mileage fare deviation. With the three indexes as the objective functions, we develop a joint optimization algorithm where a novel zone boundary adjustment scheme is proposed as the key technique. Numerical results show that the proposed algorithm can effectively provide a joint optimal scheme and the optimal number of planned zones is 5 for Changsha Metro Line 2. The proposed algorithm can provide guidance for the practical design and adjustment of the zone fare system.
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publishDate 2020-01-01
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spelling doaj-art-770e29eb9a5b44e581e40ce572197fe62025-02-03T00:58:51ZengWileyJournal of Advanced Transportation0197-67292042-31952020-01-01202010.1155/2020/24705792470579Zone Fare System Design in a Rail Transit LineYi Yang0Lianbo Deng1Qing Wang2Wenliang Zhou3School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 611756, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaAs a widely existing form of public transit fare structures, zone fare system is traditionally designed in a separate way, which may lead to suboptimal results. This paper aims to concurrently address the zone division and fare calculation issues of the zone fare system design in a rail transit line. It is necessary to consider passengers as well as operators to find an impartial zone fare system. A fair zone fare system is one where the zone fares are as close as possible to the distance-based fares, for the fares of the distance-based fare system are highly correlated with the actual distance of trips. Thus, the fare deviations for the trips between the zone fare system and the distance-based fare system are utilized as the evaluation metric of fairness. To achieve the goal of minimizing fare deviations for all trips, we introduce three indexes: average absolute deviation, average squared deviation, and maximum mileage fare deviation. With the three indexes as the objective functions, we develop a joint optimization algorithm where a novel zone boundary adjustment scheme is proposed as the key technique. Numerical results show that the proposed algorithm can effectively provide a joint optimal scheme and the optimal number of planned zones is 5 for Changsha Metro Line 2. The proposed algorithm can provide guidance for the practical design and adjustment of the zone fare system.http://dx.doi.org/10.1155/2020/2470579
spellingShingle Yi Yang
Lianbo Deng
Qing Wang
Wenliang Zhou
Zone Fare System Design in a Rail Transit Line
Journal of Advanced Transportation
title Zone Fare System Design in a Rail Transit Line
title_full Zone Fare System Design in a Rail Transit Line
title_fullStr Zone Fare System Design in a Rail Transit Line
title_full_unstemmed Zone Fare System Design in a Rail Transit Line
title_short Zone Fare System Design in a Rail Transit Line
title_sort zone fare system design in a rail transit line
url http://dx.doi.org/10.1155/2020/2470579
work_keys_str_mv AT yiyang zonefaresystemdesigninarailtransitline
AT lianbodeng zonefaresystemdesigninarailtransitline
AT qingwang zonefaresystemdesigninarailtransitline
AT wenliangzhou zonefaresystemdesigninarailtransitline