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Logit-based transit assignment: Approach-based formulation and paradox revisit

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  • Sun, S.
  • Szeto, W.Y.

Abstract

This paper proposes an approach-based transit assignment model under the assumption of logit-based stochastic user equilibrium (SUE) with fixed demand. This model is proven to have a unique solution. A cost-averaging version of the self-regulated averaging method (SRAM) is developed to solve the proposed approach-based SUE transit assignment problem. It is proven that the algorithm converges to the model solution. Numerical examples with discussions are presented to investigate the model properties, a paradoxical phenomenon due to the stochastic nature of the model, capacity paradox, and the performance of the proposed algorithm. The sensitivity analysis of different model and algorithm parameters are performed. A performance comparison between the cost-averaging SRAM, the flow-averaging SRAM, and the method of successive averages is made. The proposed methodology is demonstrated to be able to solve the Winnipeg transit network.

Suggested Citation

  • Sun, S. & Szeto, W.Y., 2018. "Logit-based transit assignment: Approach-based formulation and paradox revisit," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 191-215.
    • Handle: RePEc:eee:transb:v:112:y:2018:i:c:p:191-215
    DOI: 10.1016/j.trb.2018.03.018
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    5. 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).
    6. Sun, S. & Szeto, W.Y., 2019. "Optimal sectional fare and frequency settings for transit networks with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 147-177.
    7. Wang, Zhichao & Jiang, Rui & Jiang, Yu & Gao, Ziyou & Liu, Ronghui, 2024. "Modelling bus bunching along a common line corridor considering passenger arrival time and transfer choice under stochastic travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    8. 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).
    9. Ren, Hualing & Song, Yingjie & Long, Jiancheng & Si, Bingfeng, 2021. "A new transit assignment model based on line and node strategies," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 121-142.
    10. Honggang Zhang & Zhiyuan Liu & Yicheng Zhang & Weijie Chen & Chenyang Zhang, 2024. "A Distributed Computing Method Integrating Improved Gradient Projection for Solving Stochastic Traffic Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 24(2), pages 361-381, June.
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