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Sensitivity-based uncertainty analysis of a combined travel demand model

Author

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  • Yang, Chao
  • Chen, Anthony
  • Xu, Xiangdong
  • Wong, S.C.

Abstract

Travel demand forecasting is subject to great uncertainties. A systematic uncertainty analysis can provide insights into the level of confidence on the model outputs, and also identify critical sources of uncertainty for enhancing the robustness of the travel demand model. In this paper, we develop a systematic framework for quantitative uncertainty analysis of a combined travel demand model (CTDM) using the analytical sensitivity-based method. The CTDM overcomes limitations of the sequential four-step procedure since it is based on a single unifying rationale. The analytical sensitivity-based method requires less computational effort than the sampling-based method. Meanwhile, the uncertainties stemming from inputs and parameters can be treated separately so that the individual and collective effects of uncertainty on the outputs can be clearly assessed and quantified. Numerical examples are finally used to demonstrate the proposed sensitivity-based uncertainty analysis method for the CTDM.

Suggested Citation

  • Yang, Chao & Chen, Anthony & Xu, Xiangdong & Wong, S.C., 2013. "Sensitivity-based uncertainty analysis of a combined travel demand model," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 225-244.
  • Handle: RePEc:eee:transb:v:57:y:2013:i:c:p:225-244
    DOI: 10.1016/j.trb.2013.07.006
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    as
    1. Fisk, Caroline, 1980. "Some developments in equilibrium traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 243-255, September.
    2. Xiangdong Xu & Anthony Chen & Lin Cheng, 2013. "Assessing the effects of stochastic perception error under travel time variability," Transportation, Springer, vol. 40(3), pages 525-548, May.
    3. D E Boyce & K S Chon & Y J Lee & K T Lin & L J LeBlanc, 1983. "Implementation and Computational Issues for Combined Models of Location, Destination, Mode, and Route Choice," Environment and Planning A, , vol. 15(9), pages 1219-1230, September.
    4. K. Nabil Ali Safwat & Thomas L. Magnanti, 1988. "A Combined Trip Generation, Trip Distribution, Modal Split, and Trip Assignment Model," Transportation Science, INFORMS, vol. 22(1), pages 14-30, February.
    5. Huang, Hai-Jun & Lam, William H. K., 1992. "Modified Evans' algorithms for solving the combined trip distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 325-337, August.
    6. Anthony Chen & Zhong Zhou & Piya Chootinan & Seungkyu Ryu & Chao Yang & S. Wong, 2011. "Transport Network Design Problem under Uncertainty: A Review and New Developments," Transport Reviews, Taylor & Francis Journals, vol. 31(6), pages 743-768.
    7. 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.
    8. Lam, William H. K. & Huang, Hai-Jun, 1992. "A combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 275-287, August.
    9. Chen, Anthony & Yang, Hai & Lo, Hong K. & Tang, Wilson H., 2002. "Capacity reliability of a road network: an assessment methodology and numerical results," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 225-252, March.
    10. Hai Yang & Qiang Meng & Michael G. H. Bell, 2001. "Simultaneous Estimation of the Origin-Destination Matrices and Travel-Cost Coefficient for Congested Networks in a Stochastic User Equilibrium," Transportation Science, INFORMS, vol. 35(2), pages 107-123, May.
    11. Gerard Jong & Andrew Daly & Marits Pieters & Stephen Miller & Ronald Plasmeijer & Frank Hofman, 2007. "Uncertainty in traffic forecasts: literature review and new results for The Netherlands," Transportation, Springer, vol. 34(4), pages 375-395, July.
    12. Sevcíková, Hana & Raftery, Adrian E. & Waddell, Paul A., 2007. "Assessing uncertainty in urban simulations using Bayesian melding," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 652-669, July.
    13. Davis, Gary A., 1994. "Exact local solution of the continuous network design problem via stochastic user equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 28(1), pages 61-75, February.
    14. Nicholson, Alan & Du, Zhen-Ping, 1997. "Degradable transportation systems: An integrated equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 31(3), pages 209-223, June.
    15. 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.
    16. 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.
    17. Shlomo Bekhor & Moshe Ben-Akiva & M. Ramming, 2006. "Evaluation of choice set generation algorithms for route choice models," Annals of Operations Research, Springer, vol. 144(1), pages 235-247, April.
    18. Ying, Jiang Qian & Yang, Hai, 2005. "Sensitivity analysis of stochastic user equilibrium flows in a bi-modal network with application to optimal pricing," Transportation Research Part B: Methodological, Elsevier, vol. 39(9), pages 769-795, November.
    19. Chen, Anthony & Kasikitwiwat, Panatda, 2011. "Modeling capacity flexibility of transportation networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(2), pages 105-117, February.
    20. Clark, Stephen D. & Watling, David P., 2002. "Sensitivity analysis of the probit-based stochastic user equilibrium assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 36(7), pages 617-635, August.
    21. Leurent, F., 1998. "Sensitivity and error analysis of the dual criteria traffic assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 32(3), pages 189-204, April.
    22. Chen, Anthony & Zhou, Zhong & Lam, William H.K., 2011. "Modeling stochastic perception error in the mean-excess traffic equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1619-1640.
    23. Yang, Hai, 1997. "Sensitivity analysis for the elastic-demand network equilibrium problem with applications," Transportation Research Part B: Methodological, Elsevier, vol. 31(1), pages 55-70, February.
    24. Anthony Chen & Chao Yang & Sirisak Kongsomsaksakul & Ming Lee, 2007. "Network-based Accessibility Measures for Vulnerability Analysis of Degradable Transportation Networks," Networks and Spatial Economics, Springer, vol. 7(3), pages 241-256, September.
    25. Yuping Qiu & Thomas L. Magnanti, 1989. "Sensitivity Analysis for Variational Inequalities Defined on Polyhedral Sets," Mathematics of Operations Research, INFORMS, vol. 14(3), pages 410-432, August.
    26. Yong Zhao & Kara Maria Kockelman, 2002. "The propagation of uncertainty through travel demand models: An exploratory analysis," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 36(1), pages 145-163.
    27. 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.
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