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Estimating the value of travel time and of travel time reliability in road networks

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  • Uchida, Kenetsu

Abstract

This study proposes two network models which simultaneously estimate the value of travel time and of travel time reliability based on the risk-averse driver’s route choice behavior. The first model is formulated as a utility maximization problem under monotonic and separable link travel times, whereas the second model is formulated as a utility maximization problem under non-monotonic and non-separable link travel times. The proposed models have the same structure as a user equilibrium (UE) traffic assignment problem with elastic demand. It is shown that the first model, which addresses independent stochastic capacity, is formulated as an optimization problem with a unique solution and is solved by using an algorithm for a UE traffic assignment problem with fixed demand. The second model, which addresses both stochastic Origin–Destination (O–D) flow and stochastic link capacity, is formulated as a nonlinear complementary problem. O–D demand functions formulated in the proposed models are derived from the utility maximization behavior of the driver in the network. Therefore, the network models proposed in this study are consistent with those of studies that address the value of travel time and of travel time reliability based on utility maximization behavior without considering the driver’s route choice. Numerical experiments are carried out to demonstrate the models presented in this study.

Suggested Citation

  • Uchida, Kenetsu, 2014. "Estimating the value of travel time and of travel time reliability in road networks," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 129-147.
    • Handle: RePEc:eee:transb:v:66:y:2014:i:c:p:129-147
    DOI: 10.1016/j.trb.2014.01.002
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    Cited by:

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    2. Zhaoqi Zang & Richard Batley & Xiangdong Xu & David Z. W. Wang, 2022. "On the value of distribution tail in the valuation of travel time variability," Papers 2207.06293, arXiv.org, revised Dec 2023.
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    4. Zhaoqi Zang & Xiangdong Xu & Kai Qu & Ruiya Chen & Anthony Chen, 2022. "Travel time reliability in transportation networks: A review of methodological developments," Papers 2206.12696, arXiv.org, revised Jul 2022.
    5. Liu, Jie & He, Mingwei & Schonfeld, Paul M. & Kato, Hironori & Li, Anjun, 2022. "Measures of accessibility incorporating time reliability for an urban rail transit network: A case study in Wuhan, China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 165(C), pages 471-489.
    6. Teppei Kato & Kenetsu Uchida & William H. K. Lam & Agachai Sumalee, 2021. "Estimation of the value of travel time and of travel time reliability for heterogeneous drivers in a road network," Transportation, Springer, vol. 48(4), pages 1639-1670, August.
    7. Jiang-Hua Zhang & Hai-Yue Liu & Rui Zhu & Yang Liu, 2017. "Emergency Evacuation of Hazardous Chemical Accidents Based on Diffusion Simulation," Complexity, Hindawi, vol. 2017, pages 1-16, December.
    8. de Jong, Gerard C. & Bliemer, Michiel C.J., 2015. "On including travel time reliability of road traffic in appraisal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 73(C), pages 80-95.

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