IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v24y1990i2p153-158.html
   My bibliography  Save this article

Technical Note—Conical Volume-Delay Functions

Author

Listed:
  • Heinz Spiess

    (Centre de recherche sur les transports, Université de Montréal, Montréal, Canada H3C 3J7, and EMME/2 Support Center, Haldenstrasse 16, CH-2558 Aegerten, Switzerland)

Abstract

The widely used BPR volume-delay functions have some inherent drawbacks. A set of conditions is developed which a “well behaved” volume delay function should satisfy. This leads to the definition of a new class of functions named conical volume-delay functions , due to their geometrical interpretation as hyperbolic conical sections. It is shown that these functions satisfy all conditions set forth and, thus, constitute a viable alternative to the BPR type functions.

Suggested Citation

  • Heinz Spiess, 1990. "Technical Note—Conical Volume-Delay Functions," Transportation Science, INFORMS, vol. 24(2), pages 153-158, May.
    • Handle: RePEc:inm:ortrsc:v:24:y:1990:i:2:p:153-158
    DOI: 10.1287/trsc.24.2.153
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.24.2.153
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.24.2.153?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Qiaoru & Zhang, Zhe & Li, Kun & Chen, Liang & Wei, Zhenlin & Zhang, Jingchun, 2020. "Evolutionary dynamics of traveling behavior in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Ouassim Manout & Patrick Bonnel & François Pacull, 2021. "Spatial Aggregation Issues in Traffic Assignment Models," Networks and Spatial Economics, Springer, vol. 21(1), pages 1-29, March.
    3. Yong Liang & Mengshi Lu & Zuo‐Jun Max Shen & Runyu Tang, 2021. "Data Center Network Design for Internet‐Related Services and Cloud Computing," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2077-2101, July.
    4. Moshtagh, Mehrdad & Fathali, Jafar & Smith, J. MacGregor, 2018. "The Stochastic Queue Core problem, evacuation networks, and state-dependent queues," European Journal of Operational Research, Elsevier, vol. 269(2), pages 730-748.
    5. Chi Zhang & Jihan Qin & Min Zhang & Hong Zhang & Yudi Hou, 2019. "Practical Road-Resistance Functions for Expressway Work Zones in Occupied Lane Conditions," Sustainability, MDPI, vol. 11(2), pages 1-13, January.
    6. She, Ruifeng & Ouyang, Yanfeng, 2024. "Hybrid truck–drone delivery under aerial traffic congestion," Transportation Research Part B: Methodological, Elsevier, vol. 185(C).
    7. Temelcan, Gizem & Kocken, Hale Gonce & Albayrak, Inci, 2021. "Fuzzy modelling of static system optimum traffic assignment problem having multi origin-destination pair," Socio-Economic Planning Sciences, Elsevier, vol. 77(C).
    8. Guillaume Monchambert, 2023. "Pricing of myopic multi-sided platforms: theory and application to carpooling," Working Papers halshs-03980205, HAL.
    9. Hou, Guangyang & Chen, Suren & Bao, Yulong, 2022. "Development of travel time functions for disrupted urban arterials with microscopic traffic simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    10. Abushaega, Mastoor M. & González, Andrés D. & Moshebah, Osamah Y., 2024. "A fairness-based multi-objective distribution and restoration model for enhanced resilience of supply chain transportation networks," Reliability Engineering and System Safety, Elsevier, vol. 251(C).
    11. Abdullah Alshehri & Mahmoud Owais & Jayadev Gyani & Mishal H. Aljarbou & Saleh Alsulamy, 2023. "Residual Neural Networks for Origin–Destination Trip Matrix Estimation from Traffic Sensor Information," Sustainability, MDPI, vol. 15(13), pages 1-21, June.
    12. Chen, Zhichao & Zheng, Changjiang & Tao, Tongtong & Wang, Yanyan, 2024. "Reliability analysis of urban road traffic network under targeted attack strategies considering traffic congestion diffusion," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    13. Owais, Mahmoud & Moussa, Ghada S. & Hussain, Khaled F., 2019. "Sensor location model for O/D estimation: Multi-criteria meta-heuristics approach," Operations Research Perspectives, Elsevier, vol. 6(C).
    14. Beziat, Adrien & Koning, Martin & Toilier, Florence, 2017. "Marginal congestion costs in the case of multi-class traffic: A macroscopic assessment for the Paris Region," Transport Policy, Elsevier, vol. 60(C), pages 87-98.
    15. Xu, Junxiang & Zhang, Jin & Guo, Jingni, 2021. "Contribution to the field of traffic assignment: A boundedly rational user equilibrium model with uncertain supply and demand," Socio-Economic Planning Sciences, Elsevier, vol. 74(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:24:y:1990:i:2:p:153-158. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.