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Optimal Parameters for a Coordinated Rail and Bus Transit System

Author

Listed:
  • S. Chandana Wirasinghe

    (The University of Calgary, Calgary, Canada)

  • Vanolin F. Hurdle

    (University of Toronto, Toronto, Canada)

  • Gordon F. Newell

    (University of California, Berkeley)

Abstract

Trips between a metropolitan region and its central business district (CBD) during peak periods are served by a coordinated rail and bus transit system. Each locality is served only by a direct bus to the CBD or by a feeder bus to a railway station from which train service to the CBD is provided. Optimal transit service characteristics that minimize the sum of the transit operating costs and passenger time costs are determined. To formula’e a mathematical model of the system it is assumed that a radiocentric regional highway network centered at the CBD exists. Railway lines are assumed to be radial. The demand for public transit is assumed to be deterministic and to vary slowly with location. The optimization is accomplished mainly by the use of basic calculus in conjunction with continuum approximations of certain discrete parameters. Approximate, but simple and explicit, formulations for the optimal railway inlerstation spadngs, feeder-bus zone boundary and train headways are determined. The relationship of the interstation spacing at a given location to two local demand parameters, a cumulative demand parameter and to various travel-time and cost parameters is shown clearly. A numerical example is also presented.

Suggested Citation

  • S. Chandana Wirasinghe & Vanolin F. Hurdle & Gordon F. Newell, 1977. "Optimal Parameters for a Coordinated Rail and Bus Transit System," Transportation Science, INFORMS, vol. 11(4), pages 359-374, November.
    • Handle: RePEc:inm:ortrsc:v:11:y:1977:i:4:p:359-374
    DOI: 10.1287/trsc.11.4.359
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    Cited by:

    1. Gonzales, Eric Justin, 2011. "Allocation of Space and the Costs of Multimodal Transport in Cities," University of California Transportation Center, Working Papers qt7s28n4nj, University of California Transportation Center.
    2. Gonzales, Eric Justin, 2011. "Allocation of Space and the Costs of Multimodal Transport in Cities," University of California Transportation Center, Working Papers qt07x7h9pg, University of California Transportation Center.
    3. Sivakumaran, Karthikgeyan & Li, Yuwei & Cassidy, Michael J. & Madanat, Samer, 2010. "Cost-Saving Properties of Schedule Coordination in a Simple Trunk-and-Feeder Transit System," University of California Transportation Center, Working Papers qt9qr8s3hx, University of California Transportation Center.
    4. Fan, Wenbo & Mei, Yu & Gu, Weihua, 2018. "Optimal design of intersecting bimodal transit networks in a grid city," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 203-226.
    5. Luo, Sida & Nie, Yu (Marco), 2020. "On the role of route choice modeling in transit sketchy design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 223-243.
    6. Xiaoqing Su & Lanqing Jiang & Yucheng Huang, 2023. "Design of Electric Bus Transit Routes with Charging Stations under Demand Uncertainty," Energies, MDPI, vol. 16(4), pages 1-16, February.
    7. Dakic, Igor & Leclercq, Ludovic & Menendez, Monica, 2021. "On the optimization of the bus network design: An analytical approach based on the three-dimensional macroscopic fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 393-417.
    8. James F. Campbell, 1992. "Location‐allocation for distribution to a uniform demand with transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 635-649, August.
    9. Jara-Díaz, Sergio R. & Muñoz-Paulsen, Esteban, 2022. "Lessons from the strategic design of a bimodal public transport system on a linear city," Research in Transportation Economics, Elsevier, vol. 94(C).
    10. Zheng, Nan & Geroliminis, Nikolas, 2013. "On the distribution of urban road space for multimodal congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 326-341.
    11. Chen, Peng Will & Nie, Yu Marco, 2017. "Analysis of an idealized system of demand adaptive paired-line hybrid transit," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 38-54.
    12. Proboste, Francisco & Muñoz, Juan Carlos & Gschwender, Antonio, 2020. "Comparing social costs of public transport networks structured around an Open and Closed BRT corridor in medium sized cities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 138(C), pages 187-212.
    13. Sivakumaran, Karthik & Li, Yuwei & Cassidy, Michael & Madanat, Samer, 2014. "Access and the choice of transit technology," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 204-221.
    14. Chen, Peng (Will) & Nie, Yu (Marco), 2018. "Optimal design of demand adaptive paired-line hybrid transit: Case of radial route structure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 71-89.
    15. Daganzo, Carlos F., 2010. "Structure of competitive transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 434-446, May.
    16. Laporte, Gilbert & Mesa, Juan A. & Ortega, Francisco A., 2000. "Optimization methods for the planning of rapid transit systems," European Journal of Operational Research, Elsevier, vol. 122(1), pages 1-10, April.
    17. Ouyang, Yanfeng & Nourbakhsh, Seyed Mohammad & Cassidy, Michael J., 2014. "Continuum approximation approach to bus network design under spatially heterogeneous demand," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 333-344.
    18. Ansari Esfeh, Mohammad & Saidi, Saeid & Wirasinghe, S.C. & Kattan, Lina, 2022. "Waiting time and headway modeling considering unreliability in transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 155(C), pages 219-233.
    19. Wang, David Z.W. & Lo, Hong K., 2016. "Financial sustainability of rail transit service: The effect of urban development pattern," Transport Policy, Elsevier, vol. 48(C), pages 23-33.
    20. Cortina, Mélanie & Chiabaut, Nicolas & Leclercq, Ludovic, 2023. "Fostering synergy between transit and Autonomous Mobility-on-Demand systems: A dynamic modeling approach for the morning commute problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 170(C).
    21. Amirgholy, Mahyar & Shahabi, Mehrdad & Gao, H. Oliver, 2017. "Optimal design of sustainable transit systems in congested urban networks: A macroscopic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 261-285.
    22. Liu, Tao & Ceder, Avishai (Avi), 2018. "Integrated public transport timetable synchronization and vehicle scheduling with demand assignment: A bi-objective bi-level model using deficit function approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 935-955.
    23. Masing, Berenike & Lindner, Niels & Borndörfer, Ralf, 2022. "The price of symmetric line plans in the Parametric City," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 419-443.

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