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Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes

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Cited by:

  1. Takayama, Yuki, 2015. "Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 830-847.
  2. 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.
  3. Mogens Fosgerau & Kenneth Small, 2017. "Endogenous Scheduling Preferences And Congestion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 585-615, May.
  4. Konagane, Joji & Kono, Tatsuhito, 2021. "Heterogeneous Households’ Choices of Departure Time and Residential Location in a Multiple-origin Single-destination Rail System: Market Equilibrium and the First-best Solution," MPRA Paper 108507, University Library of Munich, Germany.
  5. Liu, Wei & Szeto, Wai Yuen, 2020. "Learning and managing stochastic network traffic dynamics with an aggregate traffic representation," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 19-46.
  6. R. Lamotte & A. de Palma & N. Geroliminis, 2020. "Impacts of Metering-Based Dynamic Priority Schemes," THEMA Working Papers 2020-14, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  7. Jiang, Changmin & Zhang, Anming, 2015. "Airport congestion pricing and terminal investment: Effects of terminal congestion, passenger types, and concessionsAuthor-Name: Wan, Yulai," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 91-113.
  8. van den Berg, Vincent & Verhoef, Erik T., 2011. "Congestion tolling in the bottleneck model with heterogeneous values of time," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 60-78, January.
  9. Leng, Jun-Qiang & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 761-766.
  10. Takayama, Yuki & Kuwahara, Masao, 2017. "Bottleneck congestion and residential location of heterogeneous commuters," Journal of Urban Economics, Elsevier, vol. 100(C), pages 65-79.
  11. Frédéric Meunier & Nicolas Wagner, 2010. "Equilibrium Results for Dynamic Congestion Games," Transportation Science, INFORMS, vol. 44(4), pages 524-536, November.
  12. 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.
  13. Mogens Fosgerau & André de Palma & Anders Karlstrom & Kenneth A. Small, 2012. "Trip timing and scheduling preferences," Working Papers hal-00742267, HAL.
  14. Fu, Xinying & van den Berg, Vincent A.C. & Verhoef, Erik T., 2018. "Private road supply in networks with heterogeneous users," Transportation Research Part A: Policy and Practice, Elsevier, vol. 118(C), pages 430-443.
  15. Jin, Wen-Long, 2021. "Stable local dynamics for day-to-day departure time choice," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 463-479.
  16. Ramadurai, Gitakrishnan & Ukkusuri, Satish V. & Zhao, Jinye & Pang, Jong-Shi, 2010. "Linear complementarity formulation for single bottleneck model with heterogeneous commuters," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 193-214, February.
  17. André de Palma & Stef Proost & Ravi Seshadri & Moshe Ben-Akiva, 2016. "Tolls Versus Mobility Permits: A Comparative Analysis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01397582, HAL.
  18. Tian, Li-Jun & Yang, Hai & Huang, Hai-Jun, 2013. "Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 1-13.
  19. 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).
  20. van den Berg, Vincent A.C. & Verhoef, Erik T., 2016. "Autonomous cars and dynamic bottleneck congestion: The effects on capacity, value of time and preference heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 43-60.
  21. John W Helsel & Venktesh Pandey & Stephen D. Boyles, 2020. "Time-Equitable Dynamic Tolling Scheme For Single Bottlenecks," Papers 2007.07091, arXiv.org.
  22. Fosgerau, Mogens & de Palma, André, 2012. "Congestion in a city with a central bottleneck," Journal of Urban Economics, Elsevier, vol. 71(3), pages 269-277.
  23. 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.
  24. Wang, Jing-Peng & Ban, Xuegang (Jeff) & Huang, Hai-Jun, 2019. "Dynamic ridesharing with variable-ratio charging-compensation scheme for morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 390-415.
  25. van den Berg, Vincent A.C., 2014. "Coarse tolling with heterogeneous preferences," Transportation Research Part B: Methodological, Elsevier, vol. 64(C), pages 1-23.
  26. 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.
  27. 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.
  28. Fosgerau, Mogens & de Palma, André, 2013. "The dynamics of urban traffic congestion and the price of parking," Journal of Public Economics, Elsevier, vol. 105(C), pages 106-115.
  29. Xiaojuan Yu & Vincent van den Berg & Erik Verhoef, 2019. "Autonomous cars and dynamic bottleneck congestion revisited: how in-vehicle activities determine aggregate travel patterns," Tinbergen Institute Discussion Papers 19-067/VIII, Tinbergen Institute.
  30. 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.
  31. Dao-Li Zhu & Hai Yang & Chang-Min Li & Xiao-Lei Wang, 2015. "Properties of the Multiclass Traffic Network Equilibria Under a Tradable Credit Scheme," Transportation Science, INFORMS, vol. 49(3), pages 519-534, August.
  32. van den Berg, Vincent & Verhoef, Erik T., 2011. "Winning or losing from dynamic bottleneck congestion pricing?," Journal of Public Economics, Elsevier, vol. 95(7), pages 983-992.
  33. Gonzales, Eric J., 2016. "Demand responsive transit systems with time-dependent demand: User equilibrium, system optimum, and management strategyAuthor-Name: Amirgholy, Mahyar," Transportation Research Part B: Methodological, Elsevier, vol. 92(PB), pages 234-252.
  34. Takayama, Yuki & Kuwahara, Masao, 2016. "Scheduling preferences, parking competition, and bottleneck congestion: A model of trip timing and parking location choices by heterogeneous commuters," MPRA Paper 68938, University Library of Munich, Germany.
  35. 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.
  36. Nicolas Coulombel & André de Palma, 2014. "The marginal social cost of travel time variability," Post-Print hal-01100105, HAL.
  37. Sun, Xiaoyan & Han, Xiao & Bao, Jian-Zhang & Jiang, Rui & Jia, Bin & Yan, Xiaoyong & Zhang, Boyu & Wang, Wen-Xu & Gao, Zi-You, 2017. "Decision dynamics of departure times: Experiments and modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 74-82.
  38. Iryo, Takamasa, 2019. "Instability of departure time choice problem: A case with replicator dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 353-364.
  39. Yu, Xiaojuan & van den Berg, Vincent A.C. & Verhoef, Erik T. & Li, Zhi-Chun, 2022. "Will all autonomous cars cooperate? Brands’ strategic interactions under dynamic congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
  40. Tian, Qiong & Liu, Peng & Ong, Ghim Ping & Huang, Hai-Jun, 2021. "Morning commuting pattern and crowding pricing in a many-to-one public transit system with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
  41. 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.
  42. 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).
  43. 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.
  44. Liu, Yang & Li, Yuanyuan & Hu, Lu, 2018. "Departure time and route choices in bottleneck equilibrium under risk and ambiguity," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 774-793.
  45. 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.
  46. Liu, Peng & Liu, Jielun & Ong, Ghim Ping & Tian, Qiong, 2020. "Flow pattern and optimal capacity in a bi-modal traffic corridor with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
  47. Vincent A.C. van den Berg & Erik T. Verhoef, 2015. "Robot Cars and Dynamic Bottleneck Congestion: The Effects on Capacity, Value of Time and Preference Heterogeneity," Tinbergen Institute Discussion Papers 15-062/VIII, Tinbergen Institute, revised 11 Jul 2016.
  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. Tian, Li-Jun & Huang, Hai-Jun, 2015. "Modeling the modal split and trip scheduling with commuters’ uncertainty expectation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 815-822.
  50. 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.
  51. Carlo Cenedese & Patrick Stokkink & Nikolas Gerolimins & John Lygeros, 2021. "Incentive-Based Electric Vehicle Charging for Managing Bottleneck Congestion," Papers 2111.05600, arXiv.org.
  52. 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.
  53. Leng, Jun-Qiang & Liu, Wei-Yi & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost allowing late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 293-300.
  54. 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.
  55. 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.
  56. Yu, Xiaojuan & van den Berg, Vincent A.C. & Verhoef, Erik T., 2019. "Carpooling with heterogeneous users in the bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 178-200.
  57. de Palma, André & Fosgerau, Mogens, 2013. "Random queues and risk averse users," European Journal of Operational Research, Elsevier, vol. 230(2), pages 313-320.
  58. Zhao, Yan & Guo, Xiaolei & Liu, Henry X., 2021. "The impact of autonomous vehicles on commute ridesharing with uncertain work end time," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 221-248.
  59. Fu, Haoran & Akamatsu, Takashi & Satsukawa, Koki & Wada, Kentaro, 2022. "Dynamic traffic assignment in a corridor network: Optimum versus equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 218-246.
  60. 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.
  61. Wenwei Zhang & Hui Zhao, 2021. "Modal choice analysis for a linear monocentric city with battery electric vehicles and park-charge-ride services," Transportation, Springer, vol. 48(4), pages 1895-1929, August.
  62. Börjesson, Maria & Kristoffersson, Ida, 2012. "Estimating welfare effects of congestion charges in real world settings," Working papers in Transport Economics 2012:13, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
  63. You-Zhi Zeng & Bin Ran & Ning Zhang & Xiaobao Yang & Jia-Jun Shen & She-Jun Deng, 2018. "Optimal Pricing and Service for the Peak-Period Bus Commuting Inefficiency of Boarding Queuing Congestion," Sustainability, MDPI, vol. 10(10), pages 1-14, September.
  64. de Palma, André & Proost, Stef & Seshadri, Ravi & Ben-Akiva, Moshe, 2018. "Congestion tolling - dollars versus tokens: A comparative analysis," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 261-280.
  65. Akamatsu, Takashi & Wada, Kentaro & Iryo, Takamasa & Hayashi, Shunsuke, 2018. "Departure time choice equilibrium and optimal transport problems," MPRA Paper 90361, University Library of Munich, Germany.
  66. Feng Xiao & Zhen Qian & H. Zhang, 2011. "The Morning Commute Problem with Coarse Toll and Nonidentical Commuters," Networks and Spatial Economics, Springer, vol. 11(2), pages 343-369, June.
  67. Iryo, Takamasa & Smith, Michael J. & Watling, David, 2020. "Stabilisation strategy for unstable transport systems under general evolutionary dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 136-151.
  68. Wen-Long Jin, 2020. "Stable Day-to-Day Dynamics for Departure Time Choice," Transportation Science, INFORMS, vol. 54(1), pages 42-61, January.
  69. Harsha Honnappa & Rahul Jain, 2015. "Strategic Arrivals into Queueing Networks: The Network Concert Queueing Game," Operations Research, INFORMS, vol. 63(1), pages 247-259, February.
  70. Osawa, Minoru & Fu, Haoran & Akamatsu, Takashi, 2018. "First-best dynamic assignment of commuters with endogenous heterogeneities in a corridor network," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 811-831.
  71. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
  72. Nicolas Coulombel & André De Palma, 2014. "Variability of Travel Time, Congestion, and the Cost of Travel," Mathematical Population Studies, Taylor & Francis Journals, vol. 21(4), pages 220-242, December.
  73. Wu, Wen-Xiang & Huang, Hai-Jun, 2014. "Finding anonymous tolls to realize target flow pattern in networks with continuously distributed value of time," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 31-46.
  74. Roman Zakharenko, 2020. "Traffic Priority Mechanisms," Transportation Science, INFORMS, vol. 54(5), pages 1211-1224, September.
  75. 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.
  76. 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.
  77. 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.
  78. 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.
  79. Vincent van den Berg & Erik T. Verhoef, 2011. "Congesting Pricing in a Road and Rail Network with Heterogeneous Values of Time and Schedule Delay," Tinbergen Institute Discussion Papers 11-059/3, Tinbergen Institute, revised 24 May 2012.
  80. Liu, Yang & Nie, Yu (Marco) & Hall, Jonathan, 2015. "A semi-analytical approach for solving the bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 56-70.
  81. Amirgholy, Mahyar & Gao, H. Oliver, 2017. "Modeling the dynamics of congestion in large urban networks using the macroscopic fundamental diagram: User equilibrium, system optimum, and pricing strategies," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 215-237.
  82. Qixiu Cheng & Zhiyuan Liu & Feifei Liu & Ruo Jia, 2017. "Urban dynamic congestion pricing: an overview and emerging research needs," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 21(0), pages 3-18, August.
  83. Liu, Wei & Yin, Yafeng & Yang, Hai, 2015. "Effectiveness of variable speed limits considering commuters’ long-term response," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 498-519.
  84. Di Huang & Weiping Tong & Lumeng Wang & Xun Yang, 2019. "An Analytical Model for the Many-to-One Demand Responsive Transit Systems," Sustainability, MDPI, vol. 12(1), pages 1-17, December.
  85. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
  86. 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.
  87. Peer, Stefanie & Verhoef, Erik T., 2013. "Equilibrium at a bottleneck when long-run and short-run scheduling preferences diverge," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 12-27.
  88. Sandeep Juneja, 2022. "Learning the queue arrivals game equilibrium," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 533-535, April.
  89. 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).
  90. 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.
  91. Fosgerau, Mogens & de Palma, André, 2013. "The dynamics of urban traffic congestion and the price of parking�," MPRA Paper 48433, University Library of Munich, Germany.
  92. Zhang, Fangni & Liu, Wei & Wang, Xiaolei & Yang, Hai, 2017. "A new look at the morning commute with household shared-ride: How does school location play a role?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 198-217.
  93. 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.
  94. Amirgholy, Mahyar & Shahabi, Mehrdad & Gao, H. Oliver, 2017. "Optimal design of sustainable transit systems in congested urban networks: A macroscopic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 261-285.
  95. Takayama, Yuki, 2018. "Time-varying congestion tolling and urban spatial structure," MPRA Paper 89896, University Library of Munich, Germany.
  96. Wu, Wen-Xiang & Huang, Hai-Jun, 2015. "An ordinary differential equation formulation of the bottleneck model with user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 34-58.
  97. Zhong, R.X. & Sumalee, A. & Friesz, T.L. & Lam, William H.K., 2011. "Dynamic user equilibrium with side constraints for a traffic network: Theoretical development and numerical solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1035-1061, August.
  98. Börjesson, Maria & Kristoffersson, Ida, 2014. "Assessing the welfare effects of congestion charges in a real world setting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 339-355.
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