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Rapid Transit Interstation Spacings for Maximum Number of Passengers

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  • Vukan R. Vuchic

    (Towne School of Civil and Mechanical Engineering, University of Pennsylvania, Philadelphia, Pennsylvania)

Abstract

Two transportation systems, following the same alignment, serve an area from which population commutes to a central point. One system has a constant speed and can be taken at any point along the line; the other has a discrete movement and can be boarded at stations only. The study analyzes the optimal station locations of the latter system for which its patronage will be maximum, assuming that passengers select systems on the basis of shorter travel time. The optimal solution, derived analytically and shown graphically on a time-distance diagram, indicates that the interstation spacings for this objective should be increasing at a decreasing rate in the direction of cumulation. Compared with the optimal interstation spacings for minimum total passenger travel time, given in a recent paper by Vuchic and Newell, this solution has a greater density of stations and, naturally, larger travel times. Sensitivity of the two solutions to various parameters is examined. Several problems to which this model would be applicable are shown and the model's realistic validity is discussed. From the optimal solution and numerical examples, several conclusions are drawn that are directly relevant to the planning of station locations for discrete public transportation systems.

Suggested Citation

  • Vukan R. Vuchic, 1969. "Rapid Transit Interstation Spacings for Maximum Number of Passengers," Transportation Science, INFORMS, vol. 3(3), pages 214-232, August.
    • Handle: RePEc:inm:ortrsc:v:3:y:1969:i:3:p:214-232
    DOI: 10.1287/trsc.3.3.214
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    Citations

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    Cited by:

    1. Tian, Qiong & Huang, Hai-Jun & Yang, Hai, 2007. "Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 616-631, July.
    2. Konrad Steiner & Stefan Irnich, 2016. "Schedule-based integrated inter-city bus line planning via branch-and-cut," Working Papers 1608, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    3. Wang, Judith Y. T. & Yang, Hai & Lindsey, Robin, 2004. "Locating and pricing park-and-ride facilities in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 38(8), pages 709-731, September.
    4. 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).
    5. Luigi Moccia & Duncan W. Allen & Eric C. Bruun, 2018. "A technology selection and design model of a semi-rapid transit line," Public Transport, Springer, vol. 10(3), pages 455-497, December.
    6. Tian, Qiong & Liu, Peng & Ong, Ghim Ping & Huang, Hai-Jun, 2021. "Morning commuting pattern and crowding pricing in a many-to-one public transit system with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    7. López-de-los-Mozos, M.C. & Mesa, Juan A. & Schöbel, Anita, 2017. "A general approach for the location of transfer points on a network with a trip covering criterion and mixed distances," European Journal of Operational Research, Elsevier, vol. 260(1), pages 108-121.
    8. Tirachini, Alejandro, 2014. "The economics and engineering of bus stops: Spacing, design and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 37-57.
    9. Roy, Sandeepan & Maji, Avijit, 2019. "A Station Location Identification Model for an Integrated Interoperable High-Speed Rail System," ADBI Working Papers 956, Asian Development Bank Institute.
    10. Chao, Eugene & Vuchic, Vukan R. & Vashchukov, Aleksandr, 2019. "High-Speed Rail as a New Mode of Intercity Passenger Transportation," ADBI Working Papers 951, Asian Development Bank Institute.
    11. Hugo M. Repolho & António P. Antunes & Richard L. Church, 2013. "Optimal Location of Railway Stations: The Lisbon-Porto High-Speed Rail Line," Transportation Science, INFORMS, vol. 47(3), pages 330-343, August.
    12. Peng, Ya-Ting & Li, Zhi-Chun & Choi, Keechoo, 2017. "Transit-oriented development in an urban rail transportation corridor," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 269-290.
    13. Perea, Federico & Mesa, Juan A. & Laporte, Gilbert, 2014. "Adding a new station and a road link to a road–rail network in the presence of modal competition," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 1-16.
    14. Konrad Steiner & Stefan Irnich, 2018. "Schedule-Based Integrated Intercity Bus Line Planning via Branch-and-Cut," Transportation Science, INFORMS, vol. 52(4), pages 882-897, August.
    15. Sang, Jinyan & Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2019. "Design of build-operate-transfer contract for integrated rail and property development with uncertainty in future urban population," Transportation Research Part B: Methodological, Elsevier, vol. 130(C), pages 36-66.
    16. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.

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