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A double time-scale passenger assignment model for high-speed railway networks with continuum capacity approximation

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  • Xu, Guangming
  • Liu, Wei
  • Wu, Runfa
  • Yang, Hai

Abstract

This study models spatiotemporal passenger flow distribution for high-speed railway (HSR) networks with capacity constraints. The HSR travel demand involves two time-dimensions, i.e., the ticket booking time and the desired departure time. Under the principle of first-booked-first-served, a passenger flow assignment model is formulated, where a later ticket booking time may result in less available travel options. A solution algorithm is then designed for solving the ticket-booking-time-dependent assignment model. The model is tested and illustrated with two numerical examples: a toy network example and a large-scale Chinese HSR network example.

Suggested Citation

  • Xu, Guangming & Liu, Wei & Wu, Runfa & Yang, Hai, 2021. "A double time-scale passenger assignment model for high-speed railway networks with continuum capacity approximation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:transe:v:150:y:2021:i:c:s136655452100079x
    DOI: 10.1016/j.tre.2021.102305
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    as
    1. Li, Zhujun & Shalaby, Amer & Roorda, Matthew J. & Mao, Baohua, 2021. "Urban rail service design for collaborative passenger and freight transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    2. Hamdouch, Younes & Szeto, W.Y. & Jiang, Y., 2014. "A new schedule-based transit assignment model with travel strategies and supply uncertainties," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 35-67.
    3. Yang, Hai & Yagar, Sam & Iida, Yasunori, 1994. "Traffic assignment in a congested discrete/ continuous transportation system," Transportation Research Part B: Methodological, Elsevier, vol. 28(2), pages 161-174, April.
    4. Zhang, Fangni & Yang, Zhiwei & Jiao, Jingjuan & Liu, Wei & Wu, Wenjie, 2020. "The effects of high-speed rail development on regional equity in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 141(C), pages 180-202.
    5. Zhang, Fangni & Yang, Hai & Liu, Wei, 2014. "The Downs–Thomson Paradox with responsive transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 244-263.
    6. Du, Bo & Wang, David Z.W., 2014. "Continuum modeling of park-and-ride services considering travel time reliability and heterogeneous commuters – A linear complementarity system approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 58-81.
    7. Cascetta, Ennio & Coppola, Pierluigi, 2016. "Assessment of schedule-based and frequency-based assignment models for strategic and operational planning of high-speed rail services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 84(C), pages 93-108.
    8. Wu, Xin & Nie, Lei & Xu, Meng & Zhao, Lili, 2019. "Distribution planning problem for a high-speed rail catering service considering time-varying demands and pedestrian congestion: A lot-sizing-based model and decomposition algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 61-89.
    9. Liu, Yang & Li, Yuanyuan & Hu, Lu, 2018. "Departure time and route choices in bottleneck equilibrium under risk and ambiguity," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 774-793.
    10. Long, Jiancheng & Szeto, W.Y. & Du, Jie & Wong, R.C.P., 2017. "A dynamic taxi traffic assignment model: A two-level continuum transportation system approach," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 222-254.
    11. Sumalee, Agachai & Tan, Zhijia & Lam, William H.K., 2009. "Dynamic stochastic transit assignment with explicit seat allocation model," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 895-912, September.
    12. Hetrakul, Pratt & Cirillo, Cinzia, 2014. "A latent class choice based model system for railway optimal pricing and seat allocation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 68-83.
    13. Wong, S. C., 1998. "Multi-commodity traffic assignment by continuum approximation of network flow with variable demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 567-581, November.
    14. Niu, Huimin & Zhou, Xuesong & Gao, Ruhu, 2015. "Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 117-135.
    15. Poon, M. H. & Wong, S. C. & Tong, C. O., 2004. "A dynamic schedule-based model for congested transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 38(4), pages 343-368, May.
    16. Bussieck, Michael R. & Kreuzer, Peter & Zimmermann, Uwe T., 1997. "Optimal lines for railway systems," European Journal of Operational Research, Elsevier, vol. 96(1), pages 54-63, January.
    17. Wang, David Z.W. & Du, Bo, 2016. "Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 1-18.
    18. Zhang, Fangni & Lindsey, Robin & Yang, Hai, 2016. "The Downs–Thomson paradox with imperfect mode substitutes and alternative transit administration regimes," Transportation Research Part B: Methodological, Elsevier, vol. 86(C), pages 104-127.
    19. Mor Kaspi & Tal Raviv, 2013. "Service-Oriented Line Planning and Timetabling for Passenger Trains," Transportation Science, INFORMS, vol. 47(3), pages 295-311, August.
    20. Wang, Xinchang & Wang, Hua & Zhang, Xiaoning, 2016. "Stochastic seat allocation models for passenger rail transportation under customer choice," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 95-112.
    21. Huanyin Su & Feng Shi & Guangming Xu & Jin Qin & Xinghua Shan, 2016. "Schedule-Based Passenger Assignment for High-Speed Rail Networks considering the Ticket-Booking Process," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-15, June.
    22. Bellei, Giuseppe & Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2006. "A demand model with departure time choice for within-day dynamic traffic assignment," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1557-1576, December.
    23. Long, Jiancheng & Wang, Chao & Szeto, W.Y., 2018. "Dynamic system optimum simultaneous route and departure time choice problems: Intersection-movement-based formulations and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 166-206.
    24. Fu, Huiling & Nie, Lei & Meng, Lingyun & Sperry, Benjamin R. & He, Zhenhuan, 2015. "A hierarchical line planning approach for a large-scale high speed rail network: The China case," Transportation Research Part A: Policy and Practice, Elsevier, vol. 75(C), pages 61-83.
    25. Zhong, R.X. & Sumalee, A. & Friesz, T.L. & Lam, William H.K., 2011. "Dynamic user equilibrium with side constraints for a traffic network: Theoretical development and numerical solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1035-1061, August.
    26. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    27. Lo, Hong K. & Szeto, W. Y., 2002. "A cell-based variational inequality formulation of the dynamic user optimal assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 421-443, June.
    28. Yang, Zhiwei & Li, Can & Jiao, Jingjuan & Liu, Wei & Zhang, Fangni, 2020. "On the joint impact of high-speed rail and megalopolis policy on regional economic growth in China," Transport Policy, Elsevier, vol. 99(C), pages 20-30.
    29. Abril, M. & Barber, F. & Ingolotti, L. & Salido, M.A. & Tormos, P. & Lova, A., 2008. "An assessment of railway capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 774-806, September.
    30. Canca, David & De-Los-Santos, Alicia & Laporte, Gilbert & Mesa, Juan A., 2019. "Integrated Railway Rapid Transit Network Design and Line Planning problem with maximum profit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 1-30.
    31. Zhang, Fangni & Graham, Daniel J. & Wong, Mark Siu Chun, 2018. "Quantifying the substitutability and complementarity between high-speed rail and air transport," Transportation Research Part A: Policy and Practice, Elsevier, vol. 118(C), pages 191-215.
    32. Hamdouch, Younes & Ho, H.W. & Sumalee, Agachai & Wang, Guodong, 2011. "Schedule-based transit assignment model with vehicle capacity and seat availability," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1805-1830.
    33. Smith, M. J., 1993. "A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 27(1), pages 49-63, February.
    34. Wang, Wei (Walker) & Wang, David Z.W. & Zhang, Fangni & Sun, Huijun & Zhang, Wenyi & Wu, Jianjun, 2017. "Overcoming the Downs-Thomson Paradox by transit subsidy policies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 95(C), pages 126-147.
    35. Burdett, R.L. & Kozan, E., 2006. "Techniques for absolute capacity determination in railways," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 616-632, September.
    36. Zhang, Fangni & Liu, Wei & Wang, Xiaolei & Yang, Hai, 2017. "A new look at the morning commute with household shared-ride: How does school location play a role?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 198-217.
    37. Szeto, W. Y. & Lo, Hong K., 2004. "A cell-based simultaneous route and departure time choice model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 593-612, August.
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