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Incorporating transfer reliability into equilibrium analysis of railway passenger flow


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  • Shi, Feng
  • Zhou, Zhao
  • Yao, Jia
  • Huang, Helai
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    Passenger’s transfer route choice behavior is one of the prominent research topics in the field of railway transportation. Existing traffic assignment approaches do not properly account for passenger’s expectation for transfer reliability. In this study, the transfer reliability is explicitly defined and a multi-class user equilibrium model is established, given which passengers choose the minimal-cost path based on their expected reliability thresholds. In particular, a path-based traffic assignment algorithm which combines a k-shortest path algorithm and the method of successive averages is proposed. The validity of the proposed approach is verified by an illustrative example. Using the proposed modeling approach, it is possible to determine the passenger’s collective route choice behavior based on the user equilibrium pattern. Moreover, the railway timetables can be evaluated and optimized based on the cost-based level of service estimation.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 220 (2012)
    Issue (Month): 2 ()
    Pages: 378-385

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    Handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:378-385

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    Keywords: Transportation; Reliability; Equilibrium analysis; Transfer time; Timetable evaluation;


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    1. Vansteenwegen, P. & Van Oudheusden, D., 2007. "Decreasing the passenger waiting time for an intercity rail network," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 478-492, May.
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    4. Vansteenwegen, P. & Oudheusden, D. Van, 2006. "Developing railway timetables which guarantee a better service," European Journal of Operational Research, Elsevier, vol. 173(1), pages 337-350, August.
    5. Wardman, Mark, 2004. "Public transport values of time," Transport Policy, Elsevier, vol. 11(4), pages 363-377, October.
    6. Lo, Hong K. & Chen, Anthony, 2000. "Traffic equilibrium problem with route-specific costs: formulation and algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 493-513, August.
    7. Rietveld, P. & Bruinsma, F. R. & van Vuuren, D. J., 2001. "Coping with unreliability in public transport chains: A case study for Netherlands," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(6), pages 539-559, July.
    8. Lo, Hong K. & Yip, C. W. & Wan, K. H., 2003. "Modeling transfer and non-linear fare structure in multi-modal network," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 149-170, February.
    9. Lo, Hong K. & Luo, X.W. & Siu, Barbara W.Y., 2006. "Degradable transport network: Travel time budget of travelers with heterogeneous risk aversion," Transportation Research Part B: Methodological, Elsevier, vol. 40(9), pages 792-806, November.
    10. Li, Zheng & Hensher, David A. & Rose, John M., 2010. "Willingness to pay for travel time reliability in passenger transport: A review and some new empirical evidence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(3), pages 384-403, May.
    11. Watling, David, 2006. "User equilibrium traffic network assignment with stochastic travel times and late arrival penalty," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1539-1556, December.
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