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Additive measures of travel time variability

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  • Engelson, Leonid
  • Fosgerau, Mogens

Abstract

This paper derives a measure of travel time variability for travellers equipped with scheduling preferences defined in terms of time-varying utility rates, and who choose departure time optimally. The corresponding value of travel time variability is a constant that depends only on preference parameters. The measure is unique in being additive with respect to independent parts of a trip. It has the variance of travel time as a special case. Extension is provided to the case of travellers who use a scheduled service with fixed headway.

Suggested Citation

  • Engelson, Leonid & Fosgerau, Mogens, 2011. "Additive measures of travel time variability," MPRA Paper 42262, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:42262
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Xiao, Yu & Fukuda, Daisuke, 2015. "On the cost of misperceived travel time variability," Transportation Research Part A: Policy and Practice, Elsevier, vol. 75(C), pages 96-112.
    2. 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.
    3. Paul Koster & Eric Pels & Erik Verhoef, 2016. "The User Costs of Air Travel Delay Variability," Transportation Science, INFORMS, vol. 50(1), pages 120-131, February.
    4. Engelson, Leonid & Fosgerau, Mogens, 2020. "Scheduling preferences and the value of travel time information," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 256-265.
    5. Oliveira, Eduardo Leal de & Portugal, Licínio da Silva & Porto Junior, Walter, 2016. "Indicators of reliability and vulnerability: Similarities and differences in ranking links of a complex road system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 88(C), pages 195-208.
    6. Beaud, Mickael & Blayac, Thierry & Stéphan, Maïté, 2016. "The impact of travel time variability and travelers’ risk attitudes on the values of time and reliability," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 207-224.
    7. Engelson, Leonid & Fosgerau, Mogens, 2016. "The cost of travel time variability: Three measures with properties," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 555-564.
    8. Li, Zhi-Chun & Zhang, Liping, 2020. "The two-mode problem with bottleneck queuing and transit crowding: How should congestion be priced using tolls and fares?," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 46-76.
    9. Hörcher, Daniel & Graham, Daniel J. & Anderson, Richard J., 2017. "Crowding cost estimation with large scale smart card and vehicle location data," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 105-125.
    10. Fosgerau, Mogens & Engelson, Leonid & Franklin, Joel P., 2014. "Commuting for meetings," Journal of Urban Economics, Elsevier, vol. 81(C), pages 104-113.
    11. Hjorth, Katrine & Börjesson, Maria & Engelson, Leonid & Fosgerau, Mogens, 2015. "Estimating exponential scheduling preferences," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 230-251.
    12. 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.
    13. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2017. "Step tolling in an activity-based bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 306-334.
    14. Xu, Xiangdong & Chen, Anthony & Cheng, Lin & Yang, Chao, 2017. "A link-based mean-excess traffic equilibrium model under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 53-75.
    15. Roberto Cominetti & Alfredo Torrico, 2016. "Additive Consistency of Risk Measures and Its Application to Risk-Averse Routing in Networks," Mathematics of Operations Research, INFORMS, vol. 41(4), pages 1510-1521, November.
    16. Zhu, Tingting & Li, Yao & Long, Jiancheng, 2022. "Departure time choice equilibrium and tolling strategies for a bottleneck with continuous scheduling preference," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    17. Xiao, Yu & Coulombel, Nicolas & Palma, André de, 2017. "The valuation of travel time reliability: does congestion matter?," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 113-141.
    18. Li, Chuan-Yao & Huang, Hai-Jun, 2018. "User equilibrium of a single-entry traffic corridor with continuous scheduling preference," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 21-38.
    19. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.

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    More about this item

    Keywords

    Travel time variability; Scheduling preferences; Reliability; Additivity;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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