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Closed form expressions for choice probabilities in the Weibull case

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Cited by:

  1. Nirmale, Sangram Krishna & Pinjari, Abdul Rawoof, 2023. "Discrete choice models with multiplicative stochasticity in choice environment variables: Application to accommodating perception errors in driver behaviour models," Transportation Research Part B: Methodological, Elsevier, vol. 170(C), pages 169-193.
  2. Dubey, Subodh & Bansal, Prateek & Daziano, Ricardo A. & Guerra, Erick, 2020. "A Generalized Continuous-Multinomial Response Model with a t-distributed Error Kernel," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 114-141.
  3. Claudia Castaldi & Paolo Delle Site & Francesco Filippi, 2019. "Stochastic user equilibrium in the presence of state dependence," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 535-559, December.
  4. Antonio Comi & Antonio Polimeni, 2022. "Estimating Path Choice Models through Floating Car Data," Forecasting, MDPI, vol. 4(2), pages 1-13, June.
  5. Xu, Xiangdong & Qu, Kai & Chen, Anthony & Yang, Chao, 2021. "A new day-to-day dynamic network vulnerability analysis approach with Weibit-based route adjustment process," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
  6. Tinessa, Fiore & Marzano, Vittorio & Papola, Andrea, 2020. "Mixing distributions of tastes with a Combination of Nested Logit (CoNL) kernel: Formulation and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 1-23.
  7. Mattsson, Lars-Göran & Weibull, Jörgen W. & Lindberg, Per Olov, 2014. "Extreme values, invariance and choice probabilities," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 81-95.
  8. Ahipaşaoğlu, Selin Damla & Meskarian, Rudabeh & Magnanti, Thomas L. & Natarajan, Karthik, 2015. "Beyond normality: A cross moment-stochastic user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 333-354.
  9. Kitthamkesorn, Songyot & Chen, Anthony, 2024. "Maximum capture problem for urban air mobility network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 187(C).
  10. Feng, Yingzi & Zhao, Jiandong & Sun, Huijun & Wu, Jianjun & Gao, Ziyou, 2022. "Choices of intercity multimodal passenger travel modes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
  11. Cazor, Laurent & Duncan, Lawrence Christopher & Watling, David Paul & Nielsen, Otto Anker & Rasmussen, Thomas Kjær, 2025. "A closed-form bounded route choice model accounting for heteroscedasticity, overlap, and choice set formation," Transportation Research Part B: Methodological, Elsevier, vol. 199(C).
  12. Duncan, Lawrence Christopher & Watling, David Paul & Connors, Richard Dominic & Rasmussen, Thomas Kjær & Nielsen, Otto Anker, 2020. "Path Size Logit route choice models: Issues with current models, a new internally consistent approach, and parameter estimation on a large-scale network with GPS data," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 1-40.
  13. del Castillo, J.M., 2016. "A class of RUM choice models that includes the model in which the utility has logistic distributed errors," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 1-20.
  14. Songyot Kitthamkesorn & Anthony Chen & Sathaporn Opasanon & Suwicha Jaita, 2021. "A P-Hub Location Problem for Determining Park-and-Ride Facility Locations with the Weibit-Based Choice Model," Sustainability, MDPI, vol. 13(14), pages 1-16, July.
  15. Mogens Fosgerau & Nikolaj Nielsen & Mads Paulsen & Thomas Kj{ae}r Rasmussen & Rui Yao, 2024. "Sensitivity analysis of the perturbed utility stochastic traffic equilibrium," Papers 2409.08347, arXiv.org, revised Apr 2026.
  16. Damla Ahipaşaoğlu, Selin & Arıkan, Uğur & Natarajan, Karthik, 2016. "On the flexibility of using marginal distribution choice models in traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 130-158.
  17. 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).
  18. Li, Guoyuan & Chen, Anthony & Ryu, Seungkyu & Kitthamkesorn, Songyot & Xu, Xiangdong, 2024. "Modeling elasticity, similarity, stochasticity, and congestion in a network equilibrium framework using a paired combinatorial weibit choice model," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
  19. Kitthamkesorn, Songyot & Chen, Anthony, 2014. "Unconstrained weibit stochastic user equilibrium model with extensions," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 1-21.
  20. Bagheri, Niousha & Ghasri, Milad & Barlow, Michael, 2025. "A neural estimation framework for discrete choice models with arbitrary error distributions," Journal of choice modelling, Elsevier, vol. 57(C).
  21. Chen, Anthony & Pravinvongvuth, Surachet & Xu, Xiangdong & Ryu, Seungkyu & Chootinan, Piya, 2012. "Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(8), pages 1343-1358.
  22. Rico Krueger & Michel Bierlaire & Thomas Gasos & Prateek Bansal, 2020. "Robust discrete choice models with t-distributed kernel errors," Papers 2009.06383, arXiv.org, revised Dec 2022.
  23. Xu, Xiangdong & Chen, Anthony & Kitthamkesorn, Songyot & Yang, Hai & Lo, Hong K., 2015. "Modeling absolute and relative cost differences in stochastic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 686-703.
  24. Paolo Delle Site, 2017. "On the Equivalence Between SUE and Fixed-Point States of Day-to-Day Assignment Processes with Serially-Correlated Route Choice," Networks and Spatial Economics, Springer, vol. 17(3), pages 935-962, September.
  25. Kitthamkesorn, Songyot & Chen, Anthony & Ryu, Seungkyu & Opasanon, Sathaporn, 2024. "Maximum capture problem based on paired combinatorial weibit model to determine park-and-ride facility locations," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
  26. Watling, David P., 2016. "A route-swapping dynamical system and Lyapunov function for stochastic user equilibriumAuthor-Name: Smith, Michael J," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 132-141.
  27. Chikaraishi, Makoto & Nakayama, Shoichiro, 2016. "Discrete choice models with q-product random utilities," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 576-595.
  28. Kitthamkesorn, Songyot & Chen, Anthony, 2017. "Alternate weibit-based model for assessing green transport systems with combined mode and route travel choices," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 291-310.
  29. Watling, David Paul & Rasmussen, Thomas Kjær & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2015. "Stochastic user equilibrium with equilibrated choice sets: Part I – Model formulations under alternative distributions and restrictions," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 166-181.
  30. Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot, 2026. "On the satisfaction function of random utility models: A theoretical review with new developments in weibit-based choice models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 205(C).
  31. Siskos, Pelopidas & Capros, Pantelis & De Vita, Alessia, 2015. "CO2 and energy efficiency car standards in the EU in the context of a decarbonisation strategy: A model-based policy assessment," Energy Policy, Elsevier, vol. 84(C), pages 22-34.
  32. Fiore Tinessa & Vittorio Marzano & Andrea Papola, 2021. "Choice probabilities and correlations in closed-form route choice models: specifications and drawbacks," Papers 2110.07224, arXiv.org.
  33. Rasmussen, Thomas Kjær & Watling, David Paul & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2015. "Stochastic user equilibrium with equilibrated choice sets: Part II – Solving the restricted SUE for the logit family," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 146-165.
  34. Brathwaite, Timothy & Walker, Joan L., 2018. "Asymmetric, closed-form, finite-parameter models of multinomial choice," Journal of choice modelling, Elsevier, vol. 29(C), pages 78-112.
  35. Tinessa, Fiore, 2021. "Closed-form random utility models with mixture distributions of random utilities: Exploring finite mixtures of qGEV models," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 262-288.
  36. Xie, J. & Wong, S.C. & Zhan, S. & Lo, S.M. & Chen, Anthony, 2020. "Train schedule optimization based on schedule-based stochastic passenger assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
  37. Niousha Bagheri & Milad Ghasri & Michael Barlow, 2025. "RUM-NN: A Neural Network Model Compatible with Random Utility Maximisation for Discrete Choice Setups," Papers 2501.05221, arXiv.org.
  38. Yangyang Xie & Lei Xie & Meng Lu & Houmin Yan, 2021. "Performance‐Price‐Ratio Utility: Market Equilibrium Analysis and Empirical Calibration Studies," Production and Operations Management, Production and Operations Management Society, vol. 30(5), pages 1442-1456, May.
  39. Du, Muqing & Tan, Heqing & Chen, Anthony, 2021. "A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models," European Journal of Operational Research, Elsevier, vol. 290(3), pages 982-999.
  40. Li, Baibing, 2011. "The multinomial logit model revisited: A semi-parametric approach in discrete choice analysis," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 461-473, March.
  41. Li, Dawei & Feng, Siqi & Song, Yuchen & Lai, Xinjun & Bekhor, Shlomo, 2023. "Asymmetric closed-form route choice models: Formulations and comparative applications," Transportation Research Part A: Policy and Practice, Elsevier, vol. 171(C).
  42. Li, Guoyuan & Chen, Anthony, 2023. "Strategy-based transit stochastic user equilibrium model with capacity and number-of-transfers constraints," European Journal of Operational Research, Elsevier, vol. 305(1), pages 164-183.
  43. Cazor, Laurent & Duncan, Lawrence Christopher & Watling, David Paul & Nielsen, Otto Anker & Rasmussen, Thomas Kjær, 2025. "A smooth bounded choice model: Formulation and application in three large-scale case studies," Journal of choice modelling, Elsevier, vol. 57(C).
  44. Yao, Jia & Chen, Anthony, 2014. "An analysis of logit and weibit route choices in stochastic assignment paradox," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 31-49.
  45. Wenyi Zhang & Zhengbing He & Wei Guan & Rui Ma, 2017. "Selfish routing equilibrium in stochastic traffic network: A probability-dominant description," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-13, August.
  46. Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot, 2022. "Weibit choice models: Properties, mode choice application and graphical illustrations," Journal of choice modelling, Elsevier, vol. 44(C).
  47. Farida Shaban & Pelopidas Siskos & Christos Tjortjis, 2023. "Electromobility Prospects in Greece by 2030: A Regional Perspective on Strategic Policy Analysis," Energies, MDPI, vol. 16(16), pages 1-17, August.
  48. Nakayama, Shoichiro & Chikaraishi, Makoto, 2015. "Unified closed-form expression of logit and weibit and its extension to a transportation network equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 672-685.
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