Abstract
The last step of four-step process in traffic modelling is assignment. The dependence of traffic flow speed on number of vehicles in traffic stream is described by volume-delay functions (VDF). They represent key element in traffic assignment process. There are several different types of these functions that lead to different speed and travel time estimation. The paper gives a review of most frequently used volume-delay functions with their advantages and limitations in practical use.
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References
Leong, L.V.: Delay functions in trip assignment for transport planning process. In: Proceedings of the International Conference of Global Network for Innovative Technology and AWAM International Conference in Civil Engineering (IGNITE – AICCE 2017) (2017)
Oskarbiski, J., Jamroz, K., Smolarek, L., Zawisza, M., Žarski, K.: Analysis of possibilities for the use of volume-delay functions in the planning module of the tristar system. Transp. Probl. 12(1), 39–50 (2017)
PTV Visum, Manual. PTV AG, Karlsruhe, Germany (2017)
Spiess, H.: Technical note – conical volume-delay functions. Transp. Sci. 24(2), 153–158 (1990)
Mtoi, E.T., Moses, R.: Calibration and evaluation of link congestion functions: applying intrinsic sensitivity of link speed as a practical consideration to heterogeneous facility types within urban network. J. Transp. Technol. 4, 141–149 (2014)
U.S. Department of Transportation, Federal Highway Administration, Office of Planning, Environment, and Reality: Travel Model Improvement Program (TMIP), TMIP Email List Technical Synthesis Series 2007–2010 (2014)
Marquez, L.: Conical and the BPR Volume-delay functions for multilane roads. Boletín Técnico 54(3), 14–24 (2016)
Singh, R., Dowling, R.: Improved speed-flow relationship: application to transportation planning models. In: Donnelly, R. (ed.) Proceedings of the Seventh TRB Conference on the Application of Transportation Planning Methods, pp. 340–349. Transportation Research Board (1999)
Davidson, K.B.: A flow travel time relationship for use in transportation planning. In: 3rd Australian Road Research Board (ARRB) Conference, Sydney, pp. 183–194 (1966)
Taylor, M.A.P.: Parameter estimation and sensitivity of parameter values in a flow-rate/travel-time relation. Transp. Sci. 11, 275–292 (1977)
Golding, S.: On Davidson’s flow/travel time relationship. Aust. Road Res. 7, 36–37 (1977)
Davidson, K.B.: The theoretical basis of a flow-travel time relationship for use in transportation planning. Aust. Road Res. 8, 32–35 (1978)
Akçelik, R.: Travel time functions for transport planning purposes: Davidson’s function, its time dependent form and alternative travel time function. Aust. Road Res. 21, 44–59 (1991)
Wong. W., Wong, S.C.: Network topological effects on the macroscopic bureau of public roads function. Transp. A: Transp. Sci. 12(2), 272–296 (2015)
Jastrzebski, W.: Volume delay functions. In: 15th International EMME/2 Users Group Conference, Vancouver, BC (2000)
Lovrić, I.: Modeli brzine prometnog toka izvangradskih dvotračnih cesta (eng. Speed models of traffic flow on two-lane highways). PhD thesis, University of Mostar (2007)
Leong, L.V.: Effects of volume-delay function on time, speed and assigned volume in transportation planning process. Int. J. Appl. Eng. Res. 11(13), 8010–8018 (2016)
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Saric, A., Albinovic, S., Dzebo, S., Pozder, M. (2019). Volume-Delay Functions: A Review. In: Avdaković, S. (eds) Advanced Technologies, Systems, and Applications III. IAT 2018. Lecture Notes in Networks and Systems, vol 60. Springer, Cham. https://doi.org/10.1007/978-3-030-02577-9_1
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DOI: https://doi.org/10.1007/978-3-030-02577-9_1
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