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Minimum Cost Locations for Parallel Public Transit Lines

Author

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  • V. F. Hurdle

    (University of California, Berkeley, California)

Abstract

Passengers are to be carried to a rapid transit line by feeder transit lines perpendicular to the rapid transit line. How should the feeder lines be located and how should their schedules respond to a passenger arrival pattern that varies with location and time? These questions are answered for a system with a simple cost structure by using continuous functions to approximate the behavior of the system, then minimizing the cost by the methods of elementary calculus.

Suggested Citation

  • V. F. Hurdle, 1973. "Minimum Cost Locations for Parallel Public Transit Lines," Transportation Science, INFORMS, vol. 7(4), pages 340-350, November.
    • Handle: RePEc:inm:ortrsc:v:7:y:1973:i:4:p:340-350
    DOI: 10.1287/trsc.7.4.340
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    Citations

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    Cited by:

    1. Bo Sun & Ming Wei & Chunfeng Yang & Zhihuo Xu & Han Wang, 2018. "Personalised and Coordinated Demand-Responsive Feeder Transit Service Design: A Genetic Algorithms Approach," Future Internet, MDPI, vol. 10(7), pages 1-14, July.
    2. Fielbaum, Andrés & Jara-Diaz, Sergio & Gschwender, Antonio, 2020. "Beyond the Mohring effect: Scale economies induced by transit lines structures design," Economics of Transportation, Elsevier, vol. 22(C).
    3. W. Klumpenhouwer & S. C. Wirasinghe, 2016. "Cost-of-crowding model for light rail train and platform length," Public Transport, Springer, vol. 8(1), pages 85-101, March.
    4. 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.
    5. Chen, Zhiwei & Li, Xiaopeng & Zhou, Xuesong, 2020. "Operational design for shuttle systems with modular vehicles under oversaturated traffic: Continuous modeling method," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 76-100.
    6. 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.
    7. Badia, Hugo & Jenelius, Erik, 2021. "Design and operation of feeder systems in the era of automated and electric buses," Transportation Research Part A: Policy and Practice, Elsevier, vol. 152(C), pages 146-172.
    8. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C. & Sumalee, A., 2012. "Design of a rail transit line for profit maximization in a linear transportation corridor," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 50-70.
    9. Moccia, Luigi & Giallombardo, Giovanni & Laporte, Gilbert, 2017. "Models for technology choice in a transit corridor with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 733-756.
    10. Yan, Shangyao & Chen, Hao-Lei, 2002. "A scheduling model and a solution algorithm for inter-city bus carriers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 805-825, November.
    11. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.
    12. 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.
    13. Fielbaum, Andrés & Jara-Diaz, Sergio & Gschwender, Antonio, 2021. "Lines spacing and scale economies in the strategic design of transit systems in a parametric city," Research in Transportation Economics, Elsevier, vol. 90(C).
    14. Klumpenhouwer, W. & Wirasinghe, S.C., 2018. "Optimal time point configuration of a bus route - A Markovian approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 209-227.
    15. 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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