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Curbing the computational difficulty of the logit equilibrium assignment model

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  • Leurent, Fabien M.

Abstract

In the past, research in traffic assignment modeling has been directed primarily towards improving the deterministic model. Alternative, more behavioral principles were thought to be too demanding computationally. This paper presents two mathematical contributions that enable one to solve a logit assignment model with flow-dependent travel times at a reduced cost. First, a convergence test for Fisk's minimization program is introduced, based on a duality gap principle. Second, a new definition of Dial's STOCH fixedtime logit assignment procedure is given, in which the set of available paths is defined only once and the computations are re-interpreted. A numerical experiment indicates that these tools make the logit assignment model very competitive compared to the procedures conventionally used for solving the deterministic model.

Suggested Citation

  • Leurent, Fabien M., 1997. "Curbing the computational difficulty of the logit equilibrium assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 315-326, August.
    • Handle: RePEc:eee:transb:v:31:y:1997:i:4:p:315-326
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    Cited by:

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    13. Pei Tong & Wenjing Du & Yadan Yan & Junsheng Li, 2023. "Quantifying Bus Accessibility and Mobility for Urban Branches: A Reliability Modeling Approach," Sustainability, MDPI, vol. 15(22), pages 1-17, November.
    14. Songyot Kitthamkesorn & Anthony Chen, 2024. "Stochastic User Equilibrium Model with a Bounded Perceived Travel Time," Papers 2402.18435, arXiv.org.
    15. 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.
    16. 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.
    17. Zhu, Jingjing & Xu, Xiangdong & Wang, Zijian, 2023. "Economic evaluation of redundancy design for transportation networks under disruptions: Framework and case study," Transport Policy, Elsevier, vol. 142(C), pages 70-83.
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    19. Zhou, Bojian & Li, Xuhong & He, Jie, 2014. "Exploring trust region method for the solution of logit-based stochastic user equilibrium problem," European Journal of Operational Research, Elsevier, vol. 239(1), pages 46-57.
    20. Paul Anderson & David Levinson & Pavithra Parthasarathi, 2011. "Accessibility Futures," Working Papers 000088, University of Minnesota: Nexus Research Group.
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