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Boundedly rational user equilibria (BRUE): Mathematical formulation and solution sets

Citations

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Cited by:

  1. Mahdi Takalloo & Changhyun Kwon, 2019. "On the Price of Satisficing in Network User Equilibria," Papers 1911.07914, arXiv.org.
  2. Valentina Morandi, 2024. "Bridging the user equilibrium and the system optimum in static traffic assignment: a review," 4OR, Springer, vol. 22(1), pages 89-119, March.
  3. Danczyk, Adam & Di, Xuan & Liu, Henry X. & Levinson, David M., 2017. "Unexpected versus expected network disruption: Effects on travel behavior," Transport Policy, Elsevier, vol. 57(C), pages 68-78.
  4. Tikoudis, Ioannis & Verhoef, Erik T. & van Ommeren, Jos N., 2018. "Second-best urban tolls in a monocentric city with housing market regulations," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 342-359.
  5. Liang Wang & Lei Zhao & Xiaojian Hu & Xinyong Zhao & Huan Wang, 2023. "A Reliability-Based Traffic Equilibrium Model with Boundedly Rational Travelers Considering Acceptable Arrival Thresholds," Sustainability, MDPI, vol. 15(8), pages 1-19, April.
  6. Di, Xuan & He, Xiaozheng & Guo, Xiaolei & Liu, Henry X., 2014. "Braess paradox under the boundedly rational user equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 86-108.
  7. Rasmussen, Thomas Kjær & Duncan, Lawrence Christopher & Watling, David Paul & Nielsen, Otto Anker, 2024. "Local detouredness: A new phenomenon for modelling route choice and traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 190(C).
  8. Eikenbroek, Oskar A.L. & Still, Georg J. & van Berkum, Eric C., 2022. "Improving the performance of a traffic system by fair rerouting of travelers," European Journal of Operational Research, Elsevier, vol. 299(1), pages 195-207.
  9. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
  10. Bao, Yue & Gao, Ziyou & Xu, Meng & Sun, Huijun & Yang, Hai, 2015. "Travel mental budgeting under road toll: An investigation based on user equilibrium," Transportation Research Part A: Policy and Practice, Elsevier, vol. 73(C), pages 1-17.
  11. Wang, Zihao & Ge, Hongxia & Cheng, Rongjun, 2020. "An extended macro model accounting for the driver’s timid and aggressive attributions and bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  12. Di, Xuan & Liu, Henry X. & Ban, Xuegang (Jeff), 2016. "Second best toll pricing within the framework of bounded rationality," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 74-90.
  13. Yang, Liangze & Du, Jie & Wong, S.C. & Shu, Chi-Wang, 2024. "Boundedly rational departure time choice in a dynamic continuum user equilibrium model for an urban city," Transportation Research Part B: Methodological, Elsevier, vol. 187(C).
  14. S. F. A. Batista & Ludovic Leclercq, 2019. "Regional Dynamic Traffic Assignment Framework for Macroscopic Fundamental Diagram Multi-regions Models," Transportation Science, INFORMS, vol. 53(6), pages 1563-1590, November.
  15. Sun, S. & Szeto, W.Y., 2021. "Multi-class stochastic user equilibrium assignment model with ridesharing: Formulation and policy implications," Transportation Research Part A: Policy and Practice, Elsevier, vol. 145(C), pages 203-227.
  16. Zhu, Feng & Ukkusuri, Satish V., 2017. "Efficient and fair system states in dynamic transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 272-289.
  17. Guo, Xiaolei, 2013. "Toll sequence operation to realize target flow pattern under bounded rationality," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 203-216.
  18. Eikenbroek, Oskar A.L. & Still, Georg J. & van Berkum, Eric C. & Kern, Walter, 2018. "The Boundedly Rational User Equilibrium: A parametric analysis with application to the Network Design Problem," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 1-17.
  19. Liu, Bingqing & Watling, David & Chow, Joseph Y.J., 2025. "An operation-agnostic stochastic user equilibrium model for mobility-on-demand networks with congestible capacities," European Journal of Operational Research, Elsevier, vol. 323(2), pages 504-524.
  20. Longsheng Sun & Mark H. Karwan & Changhyun Kwon, 2018. "Generalized Bounded Rationality and Robust Multicommodity Network Design," Operations Research, INFORMS, vol. 66(1), pages 42-57, 1-2.
  21. Xuan Di & Henry Liu & Xuegang Ban & Jeong Yu, 2015. "Submission to the DTA 2012 Special Issue: On the Stability of a Boundedly Rational Day-to-Day Dynamic," Networks and Spatial Economics, Springer, vol. 15(3), pages 537-557, September.
  22. Di, Xuan & Ban, Xuegang Jeff, 2019. "A unified equilibrium framework of new shared mobility systems," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 50-78.
  23. Yao, Jia & Cheng, Ziyi & Chen, Anthony, 2023. "Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022)," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
  24. Di, Xuan & Liu, Henry X., 2016. "Boundedly rational route choice behavior: A review of models and methodologies," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 142-179.
  25. Fujino, Toru & Chen, Yu, 2020. "Effects of network structure on the performance of a modeled traffic network under drivers’ bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  26. Chen, Yuanyi & Zheng, Yanchong & Hu, Simon & Xie, Shiwei & Yang, Qiang, 2024. "Risk-averse energy dispatch for hybrid energy refueling stations considering Boundedly rational mixed user equilibrium and operational uncertainties," Applied Energy, Elsevier, vol. 376(PA).
  27. Xuan Di & Henry X. Liu & Shanjiang Zhu & David M. Levinson, 2017. "Indifference bands for boundedly rational route switching," Transportation, Springer, vol. 44(5), pages 1169-1194, September.
  28. Jiang, Gege & Fosgerau, Mogens & Lo, Hong K., 2020. "Route choice, travel time variability, and rational inattention," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 188-207.
  29. Watling, David Paul & Rasmussen, Thomas Kjær & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2018. "Stochastic user equilibrium with a bounded choice model," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 254-280.
  30. Jiayang Li & Zhaoran Wang & Yu (Marco) Nie, 2024. "Wardrop Equilibrium Can Be Boundedly Rational: A New Behavioral Theory of Route Choice," Transportation Science, INFORMS, vol. 58(5), pages 973-994, September.
  31. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
  32. 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.
  33. Tan, Heqing & Xu, Xiangdong & Chen, Anthony, 2024. "On endogenously distinguishing inactive paths in stochastic user equilibrium: A convex programming approach with a truncated path choice model," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
  34. Wenyun Tang & David Levinson, 2014. "An empirical study of the deviation between actual and shortest travel time paths," Working Papers 000125, University of Minnesota: Nexus Research Group.
  35. Xie, Chi & Liu, Zugang, 2014. "On the stochastic network equilibrium with heterogeneous choice inertia," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 90-109.
  36. Xu, Min & Meng, Qiang & Liu, Kai, 2017. "Network user equilibrium problems for the mixed battery electric vehicles and gasoline vehicles subject to battery swapping stations and road grade constraints," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 138-166.
  37. Jiayang Li & Zhaoran Wang & Yu Marco Nie, 2023. "Wardrop Equilibrium Can Be Boundedly Rational: A New Behavioral Theory of Route Choice," Papers 2304.02500, arXiv.org, revised Feb 2024.
  38. Sun, Mingmei, 2023. "A day-to-day dynamic model for mixed traffic flow of autonomous vehicles and inertial human-driven vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).
  39. Hongli Xu & Hai Yang & Jing Zhou & Yafeng Yin, 2017. "A Route Choice Model with Context-Dependent Value of Time," Transportation Science, INFORMS, vol. 51(2), pages 536-548, May.
  40. Han, Ke & Szeto, W.Y. & Friesz, Terry L., 2015. "Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 16-49.
  41. Hongbo Ye & Hai Yang, 2017. "Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium," Transportation Science, INFORMS, vol. 51(3), pages 968-980, August.
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