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Dynamic departure time and stochastic user equilibrium assignment

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  • Lim, Yongtaek
  • Heydecker, Benjamin

Abstract

This paper investigates a logit-based combined departure time and dynamic stochastic user equilibrium assignment (DDSUE) problem and shows the existence of DDSUE condition as well as exploring its properties: a novel invariant quantity of DDSUE assignments is established. The relations between daily volume of traffic and cost incurred from travelling are also investigated. In order to calculate the equilibrium, we propose a solution algorithm that can solve the problem directly, and without appealing to an equivalent mathematical programme. Since the model is based on paths where all feasible paths are enumerated in advance, we propose an efficient method that works within a reasonable path set. Through two numerical examples, we show the DDSUE and some valuable results from the model such as relation between departure flow (or path inflow) and departure cost (or path cost). Sensitivity analysis of travel volumes with respect to travel costs and model parameters is also undertaken.

Suggested Citation

  • Lim, Yongtaek & Heydecker, Benjamin, 2005. "Dynamic departure time and stochastic user equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 39(2), pages 97-118, February.
    • Handle: RePEc:eee:transb:v:39:y:2005:i:2:p:97-118
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    1. Huang, Hai-Jun & Lam, William H. K., 2002. "Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 253-273, March.
    2. Andre de Palma & Moshe Ben-Akiva & Claude Lefevre & Nicolaos Litinas, 1983. "Stochastic Equilibrium Model of Peak Period Traffic Congestion," Transportation Science, INFORMS, vol. 17(4), pages 430-453, November.
    3. H C W L Williams, 1977. "On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit," Environment and Planning A, , vol. 9(3), pages 285-344, March.
    4. Vythoulkas, Petros C., 1990. "A dynamic stochastic assignment model for the analysis of general networks," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 453-469, December.
    5. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    6. William Lam & Hai-jun Huang, 2002. "A combined activity/travel choice model for congested road networks with queues," Transportation, Springer, vol. 29(1), pages 5-29, February.
    7. Daganzo, Carlos F., 1995. "Properties of link travel time functions under dynamic loads," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 95-98, April.
    8. Arnott, R. & de Palma, A. & Lindsey, R., 1990. "Departure time and route choice for the morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 209-228, June.
    9. Moshe Ben-Akiva & Andre de Palma & Pavlos Kanaroglou, 1986. "Dynamic Model of Peak Period Traffic Congestion with Elastic Arrival Rates," Transportation Science, INFORMS, vol. 20(3), pages 164-181, August.
    10. Han, Sangjin, 2003. "Dynamic traffic modelling and dynamic stochastic user equilibrium assignment for general road networks," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 225-249, March.
    11. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    12. Larry J. Leblanc, 1975. "An Algorithm for the Discrete Network Design Problem," Transportation Science, INFORMS, vol. 9(3), pages 183-199, August.
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    2. Du, Muqing & Tan, Heqing & Chen, Anthony, 2021. "A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models," European Journal of Operational Research, Elsevier, vol. 290(3), pages 982-999.
    3. Li-Jun Tian & Hai-Jun Huang & Zi-You Gao, 2012. "A Cumulative Perceived Value-Based Dynamic User Equilibrium Model Considering the Travelers’ Risk Evaluation on Arrival Time," Networks and Spatial Economics, Springer, vol. 12(4), pages 589-608, December.
    4. Lam, William H.K. & Li, Zhi-Chun & Huang, Hai-Jun & Wong, S.C., 2006. "Modeling time-dependent travel choice problems in road networks with multiple user classes and multiple parking facilities," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 368-395, June.
    5. Zhi-Chun Li & William Lam & S. Wong & Hai-Jun Huang & Dao-Li Zhu, 2008. "Reliability Evaluation for Stochastic and Time-dependent Networks with Multiple Parking Facilities," Networks and Spatial Economics, Springer, vol. 8(4), pages 355-381, December.
    6. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.

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