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Toward a class of link travel time functions for dynamic assignment models on signalized networks

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  • Ran, Bin
  • Rouphail, Nagui M.
  • Tarko, Andrzej
  • Boyce, David E.

Abstract

This paper investigates time-dependent travel time functions for dynamic assignment on signalized arterial network links. Dynamic link travel times are first classified according to various applications. Subsequently, stochastic and deterministic travel time functions for longer and shorter time horizons are discussed separately, and two sets of functions are recommended for dynamic transportation network problems. The implications of those functional forms are analyzed and some modifications for dynamic network models are suggested. In addition, based on dynamic link travel time functions, we discuss how many independent variables are necessary to describe the temporal traffic flow and properly estimate the time-dependent travel time and flow propagation over an arterial link. As a result, six link flow variables and corresponding link state and flow propagation equations are proposed as the basis to formulate dynamic transportation network models.

Suggested Citation

  • Ran, Bin & Rouphail, Nagui M. & Tarko, Andrzej & Boyce, David E., 1997. "Toward a class of link travel time functions for dynamic assignment models on signalized networks," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 277-290, August.
    • Handle: RePEc:eee:transb:v:31:y:1997:i:4:p:277-290
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    References listed on IDEAS

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    1. Akçelik, Rahmi & Rouphail, Nagui M., 1993. "Estimation of delays at traffic signals for variable demand conditions," Transportation Research Part B: Methodological, Elsevier, vol. 27(2), pages 109-131, April.
    2. Bin Ran & David E. Boyce & Larry J. LeBlanc, 1993. "A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models," Operations Research, INFORMS, vol. 41(1), pages 192-202, February.
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    Cited by:

    1. Sheu, Jiuh-Biing, 2006. "A composite traffic flow modeling approach for incident-responsive network traffic assignment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 461-478.
    2. Lam, William H. K. & Yin, Yafeng, 2001. "An activity-based time-dependent traffic assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 35(6), pages 549-574, July.
    3. Chan, K. S. & Lam, William H. K., 2002. "Optimal speed detector density for the network with travel time information," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(3), pages 203-223, March.
    4. Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2005. "Macroscopic arc performance models with capacity constraints for within-day dynamic traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 319-338, May.
    5. Carey, Malachy & McCartney, Mark, 2002. "Behaviour of a whole-link travel time model used in dynamic traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 83-95, January.
    6. Kachani, Soulaymane & Perakis, Georgia, 2006. "Fluid dynamics models and their applications in transportation and pricing," European Journal of Operational Research, Elsevier, vol. 170(2), pages 496-517, April.
    7. Tam, M. L. & Lam, William H. K., 2000. "Maximum car ownership under constraints of road capacity and parking space," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(3), pages 145-170, April.

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