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Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory

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Cited by:

  1. Liu, Yang & Nie, Yu (Marco), 2011. "Morning commute problem considering route choice, user heterogeneity and alternative system optima," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 619-642.
  2. Dung-Ying Lin & Avinash Unnikrishnan & S. Waller, 2011. "A Dual Variable Approximation Based Heuristic for Dynamic Congestion Pricing," Networks and Spatial Economics, Springer, vol. 11(2), pages 271-293, June.
  3. 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.
  4. 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.
  5. Yang, Hai & Meng, Qiang, 1998. "Departure time, route choice and congestion toll in a queuing network with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 247-260, May.
  6. Li, Ruijie & Liu, Xiaobo & Nie, Yu (Marco), 2018. "Managing partially automated network traffic flow: Efficiency vs. stability," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 300-324.
  7. Wu, Jiyan & Tian, Ye & Sun, Jian & Michael Zhang, H. & Wang, Yunpeng, 2023. "Public or private? Optimal organization for incentive-based travel demand management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
  8. Fosgerau, Mogens & Small, Kenneth A., 2013. "Hypercongestion in downtown metropolis," Journal of Urban Economics, Elsevier, vol. 76(C), pages 122-134.
  9. 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.
  10. Ouyang, Xu & Xu, Min, 2022. "Promoting green transportation under the belt and Road Initiative: Locating charging stations considering electric vehicle users’ travel behavior," Transport Policy, Elsevier, vol. 116(C), pages 58-80.
  11. 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.
  12. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute.
  13. Li, Chuanyao & Huang, Haijun, 2019. "Analysis of bathtub congestion with continuous scheduling preference," Research in Transportation Economics, Elsevier, vol. 75(C), pages 45-54.
  14. Liu, Wei & Geroliminis, Nikolas, 2016. "Modeling the morning commute for urban networks with cruising-for-parking: An MFD approach," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 470-494.
  15. Lamotte, Raphaël & de Palma, André & Geroliminis, Nikolas, 2017. "On the use of reservation-based autonomous vehicles for demand management," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 205-227.
  16. 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.
  17. Small, Kenneth A., 2015. "The bottleneck model: An assessment and interpretation," Economics of Transportation, Elsevier, vol. 4(1), pages 110-117.
  18. 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.
  19. Han, Ke & Friesz, Terry L. & Szeto, W.Y. & Liu, Hongcheng, 2015. "Elastic demand dynamic network user equilibrium: Formulation, existence and computation," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 183-209.
  20. Takao Dantsuji & Daisuke Fukuda & Nan Zheng, 2021. "Simulation-based joint optimization framework for congestion mitigation in multimodal urban network: a macroscopic approach," Transportation, Springer, vol. 48(2), pages 673-697, April.
  21. Zhang, Xiaoning & Yang, Hai & Huang, Hai-Jun & Zhang, H. Michael, 2005. "Integrated scheduling of daily work activities and morning-evening commutes with bottleneck congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(1), pages 41-60, January.
  22. Chen, Zhi & Wu, Wen-Xiang & Huang, Hai-Jun & Shang, Hua-Yan, 2022. "Modeling traffic dynamics in periphery-downtown urban networks combining Vickrey's theory with Macroscopic Fundamental Diagram: user equilibrium, system optimum, and cordon pricing," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 278-303.
  23. 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.
  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. Arnott, Richard, 2013. "A bathtub model of downtown traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 110-121.
  26. Xiaojuan Yu & Vincent A.C. van den Berg & Erik T. Verhoef, 2024. "Preference heterogeneity in a dynamic flow congestion model," Tinbergen Institute Discussion Papers 24-025/VIII, Tinbergen Institute.
  27. Yang, Hai & Huang, Hai-Jun, 1999. "Carpooling and congestion pricing in a multilane highway with high-occupancy-vehicle lanes," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(2), pages 139-155, February.
  28. Yu, Xiaojuan & van den Berg, Vincent A.C. & Li, Zhi-Chun, 2023. "Congestion pricing and information provision under uncertainty: Responsive versus habitual pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
  29. Yu Nie, 2015. "A New Tradable Credit Scheme for the Morning Commute Problem," Networks and Spatial Economics, Springer, vol. 15(3), pages 719-741, September.
  30. Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
  31. Zhao, Chuan-Lin & Wu, Hai-Juan & Sun, Yang-Qi & Wu, Hao-Qiu & Niu, Dong-Bao, 2024. "A bathtub model with nonlinear velocity–density relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
  32. 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.
  33. Yangbeibei Ji & Xueqing Lu & Hanwan Jiang & Xinyang Zhu & Jiao Wang, 2022. "Layout Optimization for Shared Parking Spaces Considering Shared Parking Walking Time and Parking Fee," Sustainability, MDPI, vol. 14(9), pages 1-23, May.
  34. Han, S. & Heydecker, B.G., 2006. "Consistent objectives and solution of dynamic user equilibrium models," Transportation Research Part B: Methodological, Elsevier, vol. 40(1), pages 16-34, January.
  35. Chung, Byung Do & Yao, Tao & Friesz, Terry L. & Liu, Hongcheng, 2012. "Dynamic congestion pricing with demand uncertainty: A robust optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1504-1518.
  36. Watling, David, 2006. "User equilibrium traffic network assignment with stochastic travel times and late arrival penalty," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1539-1556, December.
  37. 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.
  38. Huang, Hai-Jun, 2002. "Pricing and logit-based mode choice models of a transit and highway system with elastic demand," European Journal of Operational Research, Elsevier, vol. 140(3), pages 562-570, August.
  39. 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.
  40. 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.
  41. 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.
  42. Li, Chuan-Yao & Huang, Hai-Jun, 2018. "User equilibrium of a single-entry traffic corridor with continuous scheduling preference," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 21-38.
  43. Zhao, Hui & Yan, Xuedong & Gao, Ziyou, 2013. "Transportation serviceability analysis for metropolitan commuting corridors based on modal choice modeling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 270-284.
  44. Li-Jun Tian & Hai-Jun Huang & Zi-You Gao, 2012. "A Cumulative Perceived Value-Based Dynamic User Equilibrium Model Considering the Travelers’ Risk Evaluation on Arrival Time," Networks and Spatial Economics, Springer, vol. 12(4), pages 589-608, December.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. Arnott, Richard & Buli, Joshua, 2018. "Solving for equilibrium in the basic bathtub model," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 150-175.
  50. Su, Qida & Wang, David Z.W., 2020. "On the commute travel pattern with compressed work schedule," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 334-356.
  51. Zipeng Zhang & Ning Zhang, 2021. "The Morning Commute Problem with Ridesharing When Meet Stochastic Bottleneck," Sustainability, MDPI, vol. 13(11), pages 1-13, May.
  52. Kenneth Small, 2015. "The Bottleneck Model: An Assessment and Interpretation," Working Papers 141506, University of California-Irvine, Department of Economics.
  53. 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.
  54. Yang, Hai & Huang, Hai-Jun, 1998. "Principle of marginal-cost pricing: how does it work in a general road network?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 45-54, January.
  55. Kathrin Goldmann & Gernot Sieg, 2018. "Economic implications of phantom traffic jams: Evidence from traffic experiments," Working Papers 26, Institute of Transport Economics, University of Muenster.
  56. Takeshi Nagae & Takashi Akamatsu, 2006. "Dynamic Revenue Management of a Toll Road Project under Transportation Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 6(3), pages 345-357, September.
  57. Yitian Wang & Zixuan Peng & Keming Wang & Xiaolin Song & Baozhen Yao & Tao Feng, 2015. "Research on Urban Road Congestion Pricing Strategy Considering Carbon Dioxide Emissions," Sustainability, MDPI, vol. 7(8), pages 1-20, August.
  58. Li, Chuan-Yao & Huang, Hai-Jun, 2017. "Morning commute in a single-entry traffic corridor with early and late arrivals," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 23-49.
  59. Chen-Hsiu Laih, 2004. "Effects of the optimal step toll scheme on equilibrium commuter behaviour," Applied Economics, Taylor & Francis Journals, vol. 36(1), pages 59-81.
  60. Xu, Min & Meng, Qiang, 2020. "Optimal deployment of charging stations considering path deviation and nonlinear elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 120-142.
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