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Calibration of the combined trip distribution and assignment model for multiple user classes

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  • Lam, William H. K.
  • Huang, Hai-Jun

Abstract

A combined trip distribution and assignment model for multiple user classes has been formulated by Lam and Huang (1992). We discuss here its calibration and show how to choose a suitable set of model parameters by using supplementary information. We show that each of the quantities--the mean trip cost or the entropy or the integral network cost, in the general cases--can be used individually to determine the model parameters, but the entropy would be the best choice. An algorithm is developed to obtain the parameters by using the entropy and has been tested on an example network. The relationships between the three quantities with respect to the parameters are also investigated by analyzing results of the example. However, the observed data for calculating the three quantities are usually not available or are costly to obtain. Other techniques of estimating the parameters by using alternative travel information which may be available or easy to obtain, such as partial observed Origin-Destination flows and traffic counts, are described, and a random calibration method is presented in this paper.

Suggested Citation

  • Lam, William H. K. & Huang, Hai-Jun, 1992. "Calibration of the combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 289-305, August.
    • Handle: RePEc:eee:transb:v:26:y:1992:i:4:p:289-305
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    Cited by:

    1. García, Ricardo & Marín, Angel, 2005. "Network equilibrium with combined modes: models and solution algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 223-254, March.
    2. Lo, H. P. & Zhang, N. & Lam, W. H. K., 1999. "Decomposition algorithm for statistical estimation of OD matrix with random link choice proportions from traffic counts," Transportation Research Part B: Methodological, Elsevier, vol. 33(5), pages 369-385, June.
    3. Lo, Hing-Po & Chan, Chi-Pak, 2003. "Simultaneous estimation of an origin-destination matrix and link choice proportions using traffic counts," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(9), pages 771-788, November.
    4. Wong, K.I. & Wong, S.C. & Yang, Hai & Wu, J.H., 2008. "Modeling urban taxi services with multiple user classes and vehicle modes," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 985-1007, December.
    5. Zhou, Zhong & Chen, Anthony & Wong, S.C., 2009. "Alternative formulations of a combined trip generation, trip distribution, modal split, and trip assignment model," European Journal of Operational Research, Elsevier, vol. 198(1), pages 129-138, October.
    6. Xu, Meng & Chen, Anthony & Gao, Ziyou, 2008. "An improved origin-based algorithm for solving the combined distribution and assignment problem," European Journal of Operational Research, Elsevier, vol. 188(2), pages 354-369, July.
    7. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    8. Ho, H.W. & Wong, S.C. & Loo, Becky P.Y., 2006. "Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 633-650, September.
    9. Ma, Xiaosu & Lo, Hong K., 2012. "Modeling transport management and land use over time," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 687-709.
    10. Liu, Zhiyuan & Chen, Xinyuan & Meng, Qiang & Kim, Inhi, 2018. "Remote park-and-ride network equilibrium model and its applications," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 37-62.
    11. David Boyce, 2007. "Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models," Networks and Spatial Economics, Springer, vol. 7(2), pages 99-128, June.
    12. Vo, Khoa D. & Lam, William H.K. & Chen, Anthony & Shao, Hu, 2020. "A household optimum utility approach for modeling joint activity-travel choices in congested road networks," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 93-125.
    13. Boyce, David, 2007. "Future research on urban transportation network modeling," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 472-481, July.
    14. Alireza Ermagun & David M Levinson, 2019. "Development and application of the network weight matrix to predict traffic flow for congested and uncongested conditions," Environment and Planning B, , vol. 46(9), pages 1684-1705, November.
    15. Bar-Gera, Hillel & Boyce, David, 2003. "Origin-based algorithms for combined travel forecasting models," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 405-422, June.
    16. Cantarella, Giulio Erberto & Cartenì, Armando & de Luca, Stefano, 2015. "Stochastic equilibrium assignment with variable demand: Theoretical and implementation issues," European Journal of Operational Research, Elsevier, vol. 241(2), pages 330-347.
    17. Yang, Chao & Chen, Anthony, 2009. "Sensitivity analysis of the combined travel demand model with applications," European Journal of Operational Research, Elsevier, vol. 198(3), pages 909-921, November.
    18. Huang, Hai-Jun & Xu, Gang, 1998. "Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems," European Journal of Operational Research, Elsevier, vol. 105(1), pages 52-65, February.
    19. Mori, Kentaro & Miwa, Tomio & Abe, Ryosuke & Morikawa, Takayuki, 2022. "Equilibrium analysis of trip demand for autonomous taxi services in Nagoya, Japan," Transportation Research Part A: Policy and Practice, Elsevier, vol. 166(C), pages 476-498.
    20. Lam, William H. K. & Tam, M. L., 1997. "Why standard modelling and evaluation procedures are inadequate for assessing traffic congestion measures," Transport Policy, Elsevier, vol. 4(4), pages 217-223, October.
    21. Wong, K. I. & Wong, S. C. & Yang, Hai, 2001. "Modeling urban taxi services in congested road networks with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 35(9), pages 819-842, November.
    22. Fan, Yinchao & Ding, Jianxun & Liu, Haoxiang & Wang, Yu & Long, Jiancheng, 2022. "Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    23. Ampol Karoonsoontawong & Dung-Ying Lin, 2015. "Combined Gravity Model Trip Distribution and Paired Combinatorial Logit Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 15(4), pages 1011-1048, December.
    24. 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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