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Queueing at a bottleneck with single- and multi-step tolls

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  1. Laih, Chen-Hsiu & Sun, Pey-Yuan, 2013. "Effects of the optimal n-step toll scheme on bulk carriers queuing for multiple berths at a busy port," Transport Policy, Elsevier, vol. 28(C), pages 42-50.
  2. 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.
  3. 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.
  4. André de Palma & Mogens Fosgerau, 2011. "Dynamic Traffic Modeling," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 9, Edward Elgar Publishing.
  5. Xiao, Feng & Shen, Wei & Michael Zhang, H., 2012. "The morning commute under flat toll and tactical waiting," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1346-1359.
  6. Li, Qiaoru & Zhang, Zhe & Li, Kun & Chen, Liang & Wei, Zhenlin & Zhang, Jingchun, 2020. "Evolutionary dynamics of traveling behavior in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
  7. Robin Lindsey & André de Palma, 1997. "Private Toll Roads: A Dynamic Equilibrium Analysis," Tinbergen Institute Discussion Papers 97-057/3, Tinbergen Institute.
  8. Takayama, Yuki & Kuwahara, Masao, 2017. "Bottleneck congestion and residential location of heterogeneous commuters," Journal of Urban Economics, Elsevier, vol. 100(C), pages 65-79.
  9. Jia, Zehui & Wang, David Z.W. & Cai, Xingju, 2016. "Traffic managements for household travels in congested morning commute," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 173-189.
  10. Carrion, Carlos & Levinson, David, 2012. "Value of travel time reliability: A review of current evidence," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(4), pages 720-741.
  11. Lago, Alejandro & Daganzo, Carlos F., 2003. "A Network Model of Departure Time Choice with Spillovers and Merging Effects. Part I: Building Block," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1rw9v116, Institute of Transportation Studies, UC Berkeley.
  12. van den Berg, Vincent A.C., 2014. "Coarse tolling with heterogeneous preferences," Transportation Research Part B: Methodological, Elsevier, vol. 64(C), pages 1-23.
  13. Zhang, Yuan & Zhao, Hui & Jiang, Rui, 2024. "Manage morning commute for household travels with parking space constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
  14. Fosgerau, Mogens & Small, Kenneth A., 2013. "Hypercongestion in downtown metropolis," Journal of Urban Economics, Elsevier, vol. 76(C), pages 122-134.
  15. Yao, Tao & Friesz, Terry L. & Wei, Mike Mingcheng & Yin, Yafeng, 2010. "Congestion derivatives for a traffic bottleneck," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1149-1165, December.
  16. Doan, Kien & Ukkusuri, Satish & Han, Lanshan, 2011. "On the existence of pricing strategies in the discrete time heterogeneous single bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1483-1500.
  17. 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.
  18. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute.
  19. 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.
  20. Qiumin Liu & Vincent A.C. van den Berg & Erik T. Verhoef & Rui Jiang, 2024. "Pricing in the Stochastic Bottleneck Model with Price-Sensitive Demand," Tinbergen Institute Discussion Papers 24-011/VIII, Tinbergen Institute, revised 22 Oct 2024.
  21. 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.
  22. Fosgerau, Mogens, 2011. "How a fast lane may replace a congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 845-851, July.
  23. Vincent van den Berg, "undated". "Self-financing roads under coarse tolling and heterogeneous preferences," Tinbergen Institute Discussion Papers 22-045/VIII, Tinbergen Institute.
  24. Liu, Wei & Zhang, Fangni & Yang, Hai, 2017. "Modeling and managing morning commute with both household and individual travels," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 227-247.
  25. Mogens Fosgerau & André de Palma & Anders Karlstrom & Kenneth A. Small, 2012. "Trip timing and scheduling preferences," Working Papers hal-00742267, HAL.
  26. Yan, Hai & Lam, William H. K., 1996. "Optimal road tolls under conditions of queueing and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(5), pages 319-332, September.
  27. Bao, Yue & Verhoef, Erik T. & Koster, Paul, 2019. "Regulating dynamic congestion externalities with tradable credit schemes: Does a unique equilibrium exist?," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 225-236.
  28. 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).
  29. 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.
  30. Rouwendal, Jan & Verhoef, Erik T. & Knockaert, Jasper, 2012. "Give or take? Rewards versus charges for a congested bottleneck," Regional Science and Urban Economics, Elsevier, vol. 42(1-2), pages 166-176.
  31. Berg, V.A.C. van den, 2012. "Step tolling with price sensitive demand: Why more steps in the toll makes the consumer better off," Serie Research Memoranda 0003, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  32. Ma, Rui & Ban, Xuegang (Jeff) & Szeto, W.Y., 2017. "Emission modeling and pricing on single-destination dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 255-283.
  33. Erik T. Verhoef, 1998. "The Implementation of Marginal External Cost Pricing in Road Transport," Tinbergen Institute Discussion Papers 98-091/3, Tinbergen Institute.
  34. Sun, Jian & Wu, Jiyan & Xiao, Feng & Tian, Ye & Xu, Xiangdong, 2020. "Managing bottleneck congestion with incentives," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 143-166.
  35. 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).
  36. Takayama, Yuki, 2018. "Time-varying congestion tolling and urban spatial structure," MPRA Paper 89896, University Library of Munich, Germany.
  37. Jan Rouwendal & Erik T. Verhoef & Jasper Knockaert, 2010. "Give or take? Rewards vs. Charges for a Congested Bottleneck," Tinbergen Institute Discussion Papers 10-062/3, Tinbergen Institute.
  38. 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.
  39. 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.
  40. 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.
  41. Nie, Yu (Marco) & Yin, Yafeng, 2013. "Managing rush hour travel choices with tradable credit scheme," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 1-19.
  42. 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).
  43. Yao, Tao & Wei, Mike Mingcheng & Zhang, Bo & Friesz, Terry, 2012. "Congestion derivatives for a traffic bottleneck with heterogeneous commuters," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1454-1473.
  44. 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.
  45. André de Palma & Mogens Fosgerau, 2010. "Dynamic and Static congestion models: A review," Working Papers hal-00539166, HAL.
  46. Lago, Alejandro & Daganzo, Carlos F., 2007. "Spillovers, merging traffic and the morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 670-683, July.
  47. 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.
  48. Yang, Hai & Liu, Wei & Wang, Xiaolei & Zhang, Xiaoning, 2013. "On the morning commute problem with bottleneck congestion and parking space constraints," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 106-118.
  49. 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.
  50. 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).
  51. Emmerink, Richard H. M. & Verhoef, Erik T. & Nijkamp, Peter & Rietveld, Piet, 1998. "Information policy in road transport with elastic demand: Some welfare economic considerations," European Economic Review, Elsevier, vol. 42(1), pages 71-95, January.
  52. 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.
  53. 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).
  54. 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.
  55. Chow, Andy H.F., 2009. "Properties of system optimal traffic assignment with departure time choice and its solution method," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 325-344, March.
  56. de Palma, André & Kilani, Moez & Lindsey, Robin, 2005. "Congestion pricing on a road network: A study using the dynamic equilibrium simulator METROPOLIS," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 588-611.
  57. 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.
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