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Technical Note—Conical Volume-Delay Functions

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  • 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
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    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).

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