Abstract
With the explicit consideration of user heterogeneity, i.e., each user has a different value of time (VOT), this paper examines the system efficiency and social equity of toll revenue redistribution in a bi-mode transportation system. Three schemes of distributing the road toll revenue are proposed, which respectively consider efficiency, equity, as well as efficiency and equity together. With mild assumptions, we prove that the number of auto-motorists decreases and the total social cost increases with transit subsidy share when only marginal operating cost of the transit is covered by its fare. However, when average fixed cost of the transit is further covered, the total social cost is a “U” shape curve against the transit subsidy share. Numerical results show that the well designed toll revenue redistribution schemes can make the system more equitable while kee** high efficiency. With the increase of user heterogeneity, the Gini coefficient becomes larger while the total social cost goes down.
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This research was supported by the National Natural Science Foundation of China (71271001, 70901046), the National Basic Research Program of China (2012CB725401), and the Program for New Century Excellent Talents in University (NCET-13-0025). This is a substantially extended version of the paper “Efficiency and equity of redistribution of toll revenue with user heterogeneity” published at The 11th International Conf. on Service Systems and Service Management, and recommended for publication in this journal by the conference committee. The authors thank referees for their comments and suggestions to improve the paper.
Shu-**an Xu is a PhD Candidate of School of Economics and Management in Beihang University. She obtained her bachelor degree from School of Management Science and Engineering in Shandong Institute of Business and Technology in 2012. Her research interests include travel behavior analysis and congested road-use pricing. She recently won the ICSSSM 2014 Best Paper Award.
Tian-Liang Liu is currently an associate professor at Beihang University. He received the BSc and MSc degree, both in management, from Qingdao University in 2002 and 2005, respectively, and the PhD degree in transportation operations from Beihang University. His research interests include transportation economics and operations management. Dr. Liu has published over 20 papers in refereed conference proceedings and journals and has been the principal investigator of two NSFC projects.
Hai-Jun Huang is the Cheng Kong professor of the Bei**g University of Aeronautics and Astronautics (Beihang University). He received his PhD in transport operations research from Beihang in 1992. His research interests include road traffic flow models, transport network modeling, travel behavior analysis and congested road-use pricing. He has published more than 150 papers in such international journals as Transportation Research (Part A, Part B, Part C, Part E), OR, TS, EJOR and etc. As the vice president, he is serving the Systems Engineering Society of China, China Society of Management Science and Engineering, Chinese Society of Optimization, Overall Planning and Economic Mathematics. In 2011, he was selected as the IAC member of ISTTT.
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Xu, SX., Liu, TL. & Huang, HJ. Managing redistribution of toll revenue with user heterogeneity. J. Syst. Sci. Syst. Eng. 23, 329–341 (2014). https://doi.org/10.1007/s11518-014-5251-z
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DOI: https://doi.org/10.1007/s11518-014-5251-z