Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit

This paper analyzes government subsidies based on the service design (i.e., headway) and fare structures of an urban rail transit system while considering necessary financial support from the government. To capture the interactions among the operator performance, government subsidies, and passengers...

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Main Authors: Qing Wang, Paul Schonfeld, Lianbo Deng
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2021/6659384
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author Qing Wang
Paul Schonfeld
Lianbo Deng
author_facet Qing Wang
Paul Schonfeld
Lianbo Deng
author_sort Qing Wang
collection DOAJ
description This paper analyzes government subsidies based on the service design (i.e., headway) and fare structures of an urban rail transit system while considering necessary financial support from the government. To capture the interactions among the operator performance, government subsidies, and passengers in an urban rail transit system, a profit maximization model with nonnegative profit constraint is formulated to determine the optimal fare and headway solutions. Then, the social welfare that results from the operator profit maximization model is analyzed. Finally, a numerical example from Changsha, China, is employed to verify the feasibility of the proposed model. The major results consist of optimized solutions for decision variables, i.e., the fares and train headways, as well as subsidies to the operator. The fare elasticity factor under two fare structures significantly affects fares and demand. As the fare elasticity factor increases, the social welfare gradually decreases and a deficit occurs at low fares and demand, while subsidies rise from 0 to ¥24658.00 and ¥38089.16 under the flat fare and distance-based fare structures.
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institution Kabale University
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2042-3195
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publishDate 2021-01-01
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series Journal of Advanced Transportation
spelling doaj-art-c8bccb7c9d29448e98eee10b9392c6c12025-02-03T06:05:35ZengWileyJournal of Advanced Transportation0197-67292042-31952021-01-01202110.1155/2021/66593846659384Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail TransitQing Wang0Paul Schonfeld1Lianbo Deng2School of Traffic and Transportation Engineering, Rail Data Research and Application Key Laboratory of Hunan Province, Central South University, Changsha 410075, ChinaDepartment of Civil and Environmental Engineering, University of Maryland, College Park 1173 Glenn Martin Hall, College Park, MD 20742, USASchool of Traffic and Transportation Engineering, Rail Data Research and Application Key Laboratory of Hunan Province, Central South University, Changsha 410075, ChinaThis paper analyzes government subsidies based on the service design (i.e., headway) and fare structures of an urban rail transit system while considering necessary financial support from the government. To capture the interactions among the operator performance, government subsidies, and passengers in an urban rail transit system, a profit maximization model with nonnegative profit constraint is formulated to determine the optimal fare and headway solutions. Then, the social welfare that results from the operator profit maximization model is analyzed. Finally, a numerical example from Changsha, China, is employed to verify the feasibility of the proposed model. The major results consist of optimized solutions for decision variables, i.e., the fares and train headways, as well as subsidies to the operator. The fare elasticity factor under two fare structures significantly affects fares and demand. As the fare elasticity factor increases, the social welfare gradually decreases and a deficit occurs at low fares and demand, while subsidies rise from 0 to ¥24658.00 and ¥38089.16 under the flat fare and distance-based fare structures.http://dx.doi.org/10.1155/2021/6659384
spellingShingle Qing Wang
Paul Schonfeld
Lianbo Deng
Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
Journal of Advanced Transportation
title Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
title_full Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
title_fullStr Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
title_full_unstemmed Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
title_short Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit
title_sort profit maximization model with fare structures and subsidy constraints for urban rail transit
url http://dx.doi.org/10.1155/2021/6659384
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AT lianbodeng profitmaximizationmodelwithfarestructuresandsubsidyconstraintsforurbanrailtransit