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Step tolling with bottleneck queuing congestion

Citations

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  1. Tang, Zhe-Yi & Tian, Li-Jun & Liu, Peng & Huang, Hai-Jun, 2025. "Parking reservation scheme in a commuting system with shared autonomous vehicles and parking space constraint," Transportation Research Part B: Methodological, Elsevier, vol. 192(C).
  2. Sakai, Takara & Akamatsu, Takashi & Satsukawa, Koki, 2024. "Queue replacement principle for corridor problems with heterogeneous commuters," Transportation Research Part B: Methodological, Elsevier, vol. 187(C).
  3. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.
  4. Long, Jiancheng & Szeto, W.Y. & Gao, Ziyou & Huang, Hai-Jun & Shi, Qin, 2016. "The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 179-206.
  5. Guo, Ren-Yong & Yang, Hai & Huang, Hai-Jun & Li, Xinwei, 2018. "Day-to-day departure time choice under bounded rationality in the bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 832-849.
  6. Zhang, Xiang & Liu, Wei & Waller, S. Travis & Yin, Yafeng, 2019. "Modelling and managing the integrated morning-evening commuting and parking patterns under the fully autonomous vehicle environment," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 380-407.
  7. van den Berg, Vincent A.C., 2014. "Coarse tolling with heterogeneous preferences," Transportation Research Part B: Methodological, Elsevier, vol. 64(C), pages 1-23.
  8. Wang, Hua & Meng, Qiang & Wang, Jing & Zhao, De, 2021. "An electric-vehicle corridor model in a dense city with applications to charging location and traffic management," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 79-99.
  9. Bao, Yue & Yang, Hai & Gao, Ziyou & Xu, Hongli, 2023. "How do pre-event activities alleviate congestion and increase attendees’ travel utility and the venue's profit during a special event?," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 332-353.
  10. Liu, Qiumin & van den Berg, Vincent A.C. & Verhoef, Erik T. & Jiang, Rui, 2025. "Pricing in the stochastic bottleneck model with price-sensitive demand," Transportation Research Part B: Methodological, Elsevier, vol. 194(C).
  11. Zhu, Tingting & Li, Yao & Long, Jiancheng, 2022. "Departure time choice equilibrium and tolling strategies for a bottleneck with continuous scheduling preference," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
  12. Chen, Hongyu & Nie, Yu (Marco) & Yin, Yafeng, 2015. "Optimal multi-step toll design under general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 775-793.
  13. Braid, Ralph M., 2018. "Partial peak-load pricing of a transportation bottleneck with homogeneous and heterogeneous values of time," Economics of Transportation, Elsevier, vol. 16(C), pages 29-41.
  14. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2014. "Bottleneck model revisited: An activity-based perspective," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 262-287.
  15. Takayama, Yuki & Kuwahara, Masao, 2017. "Bottleneck congestion and residential location of heterogeneous commuters," Journal of Urban Economics, Elsevier, vol. 100(C), pages 65-79.
  16. Hugo E. Silva & Robin Lindsey & André de Palma & Vincent A. C. van den Berg, 2017. "On the Existence and Uniqueness of Equilibrium in the Bottleneck Model with Atomic Users," Transportation Science, INFORMS, vol. 51(3), pages 863-881, August.
  17. Jonathan D. Hall, 2024. "Inframarginal Travelers And Transportation Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 65(3), pages 1519-1550, August.
  18. van den Berg, Vincent A.C., 2012. "Step-tolling with price-sensitive demand: Why more steps in the toll make the consumer better off," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1608-1622.
  19. Bao, Yue & Xiao, Feng & Gao, Zaihan & Gao, Ziyou, 2017. "Investigation of the traffic congestion during public holiday and the impact of the toll-exemption policy," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 58-81.
  20. Ren-Yong Guo & Hai Yang & Hai-Jun Huang, 2018. "Are We Really Solving the Dynamic Traffic Equilibrium Problem with a Departure Time Choice?," Transportation Science, INFORMS, vol. 52(3), pages 603-620, June.
  21. Vincent van den Berg, "undated". "Self-financing roads under coarse tolling and heterogeneous preferences," Tinbergen Institute Discussion Papers 22-045/VIII, Tinbergen Institute.
  22. Bao, Yitian & Bao, Yue & Kang, Liujiang, 2025. "Modeling the departure time choices of attendees for special events with cruising-for-parking," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 198(C).
  23. Long, Jiancheng & Szeto, W.Y., 2019. "Congestion and environmental toll schemes for the morning commute with heterogeneous users and parallel routes," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 305-333.
  24. Chen, Jin-Yong & Jiang, Rui & Li, Xin-Gang & Hu, Mao-Bin & Jia, Bin & Gao, Zi-You, 2019. "Morning commute problem with queue-length-dependent bottleneck capacity," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 184-215.
  25. Xiao, Ling-Ling & Liu, Tian-Liang & Huang, Hai-Jun & Liu, Ronghui, 2021. "Temporal-spatial allocation of bottleneck capacity for managing morning commute with carpool," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 177-200.
  26. Carlo Cenedese & Patrick Stokkink & Nikolas Gerolimins & John Lygeros, 2021. "Incentive-Based Electric Vehicle Charging for Managing Bottleneck Congestion," Papers 2111.05600, arXiv.org.
  27. Xu, Da & Guo, Xiaolei & Zhang, Guoqing, 2019. "Constrained optimization for bottleneck coarse tolling," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 1-22.
  28. Yu, Xiaojuan & van den Berg, Vincent A.C. & Verhoef, Erik T., 2025. "Preference heterogeneity in a dynamic flow congestion model," Transportation Research Part B: Methodological, Elsevier, vol. 195(C).
  29. Chen, Hongyu & Liu, Yang & Nie, Yu (Marco), 2015. "Solving the step-tolled bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 210-229.
  30. van den Berg, Vincent A.C., 2024. "Self-financing roads under coarse tolling and preference heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 182(C).
  31. Yang, Hai & Tang, Yili, 2018. "Managing rail transit peak-hour congestion with a fare-reward scheme," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 122-136.
  32. Knockaert, Jasper & Verhoef, Erik T. & Rouwendal, Jan, 2016. "Bottleneck congestion: Differentiating the coarse charge," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 59-73.
  33. Takayama, Yuki, 2020. "Who gains and who loses from congestion pricing in a monocentric city with a bottleneck?," Economics of Transportation, Elsevier, vol. 24(C).
  34. Ling-Ling Xiao & Hai-Jun Huang & Ronghui Liu, 2015. "Congestion Behavior and Tolls in a Bottleneck Model with Stochastic Capacity," Transportation Science, INFORMS, vol. 49(1), pages 46-65, February.
  35. Fu, Yulan & Wang, Chenlan & Liu, Tian-Liang & Huang, Hai-Jun, 2021. "Parking management in the morning commute problem with ridesharing," Research in Transportation Economics, Elsevier, vol. 90(C).
  36. Akamatsu, Takashi & Wada, Kentaro & Iryo, Takamasa & Hayashi, Shunsuke, 2021. "A new look at departure time choice equilibrium models with heterogeneous users," Transportation Research Part B: Methodological, Elsevier, vol. 148(C), pages 152-182.
  37. Nie, Yu (Marco), 2017. "On the potential remedies for license plate rationing," Economics of Transportation, Elsevier, vol. 9(C), pages 37-50.
  38. Li, Zhi-Chun & Zhang, Liping, 2020. "The two-mode problem with bottleneck queuing and transit crowding: How should congestion be priced using tolls and fares?," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 46-76.
  39. Deng, Yao & Sheng, Dian & Liu, Baoli, 2021. "Managing ship lock congestion in an inland waterway: A bottleneck model with a service time window," Transport Policy, Elsevier, vol. 112(C), pages 142-161.
  40. Chen-Hsiu Laih, 2025. "Queuing Pricing with Time-Varying and Step Tolls: A Mathematical Framework for User Classification and Behavioral Analysis," Mathematics, MDPI, vol. 13(13), pages 1-37, July.
  41. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2017. "Step tolling in an activity-based bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 306-334.
  42. Liu, Qiumin & Jiang, Rui & Liu, Ronghui & Zhao, Hui & Gao, Ziyou, 2020. "Travel cost budget based user equilibrium in a bottleneck model with stochastic capacity," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 1-37.
  43. Takayama, Yuki, 2018. "Time-varying congestion tolling and urban spatial structure," MPRA Paper 89896, University Library of Munich, Germany.
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