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Transit system network design

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  • LeBlanc, Larry J.

Abstract

This article formulates a transit network design model for determining frequencies of each transit line in a network. This transit network design model requires a mode-split assignment model with distinct transit lines, each with its own specified frequency, to capture the mode split effects of increases or decreases in individual transit line frequencies. It is shown how to refine conventional mode-split assignment models to include this feature. The resulting model includes more precise measures of transit access and transfer delays, so that it more accurately predicts mode choices and link flows. This variation of the mode-split assignment model uses Dial's transit loader to solve Frank-Wolfe subproblems, using frequencies of individual transit lines to find fastest transit paths, considering access time, ride time, and any transfer delays. Computational shortcuts using the standard Hooke-Jeeves algorithm are demonstrated.

Suggested Citation

  • LeBlanc, Larry J., 1988. "Transit system network design," Transportation Research Part B: Methodological, Elsevier, vol. 22(5), pages 383-390, October.
    • Handle: RePEc:eee:transb:v:22:y:1988:i:5:p:383-390
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    Cited by:

    1. Gong, Manlin & Hu, Yucong & Chen, Zhiwei & Li, Xiaopeng, 2021. "Transfer-based customized modular bus system design with passenger-route assignment optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
    2. Guido Gentile & Sang Nguyen & Stefano Pallottino, 2005. "Route Choice on Transit Networks with Online Information at Stops," Transportation Science, INFORMS, vol. 39(3), pages 289-297, August.
    3. Pan, Hanchuan & Yang, Lixing & Liang, Zhe, 2023. "Demand-oriented integration optimization of train timetabling and rolling stock circulation planning with flexible train compositions: A column-generation-based approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 184-206.
    4. Luca Quadrifoglio & Randolph W. Hall & Maged M. Dessouky, 2006. "Performance and Design of Mobility Allowance Shuttle Transit Services: Bounds on the Maximum Longitudinal Velocity," Transportation Science, INFORMS, vol. 40(3), pages 351-363, August.
    5. Pan, Hanchuan & Yang, Lixing & Liang, Zhe & Yang, Hai, 2024. "New Exact Algorithm for the integrated train timetabling and rolling stock circulation planning problem with stochastic demand," European Journal of Operational Research, Elsevier, vol. 316(3), pages 906-929.
    6. Loe, Chuan Wen & Jensen, Henrik Jeldtoft, 2015. "Comparison of communities detection algorithms for multiplex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 29-45.
    7. Fan, Wei & Machemehl, Randy B. & Lownes, Nicholas E., 2008. "Some Computational Insights on the Optimal Bus Transit Route Network Design Problem," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 47(3).
    8. Aldaihani, Majid M. & Quadrifoglio, Luca & Dessouky, Maged M. & Hall, Randolph, 2004. "Network design for a grid hybrid transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(7), pages 511-530, August.
    9. Szeto, W.Y. & Jiang, Y., 2014. "Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 235-263.
    10. Verbas, İ. Ömer & Mahmassani, Hani S., 2015. "Exploring trade-offs in frequency allocation in a transit network using bus route patterns: Methodology and application to large-scale urban systems," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 577-595.
    11. Yuan Liu & Heshan Zhang & Tao Xu & Yaping Chen, 2022. "A Heuristic Algorithm Based on Travel Demand for Transit Network Design," Sustainability, MDPI, vol. 14(17), pages 1-17, September.
    12. Benjamin Otto, 2019. "Aggregation techniques for frequency assignment in public transportation," Public Transport, Springer, vol. 11(1), pages 51-87, June.
    13. 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.
    14. Leiva, Carola & Muñoz, Juan Carlos & Giesen, Ricardo & Larrain, Homero, 2010. "Design of limited-stop services for an urban bus corridor with capacity constraints," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1186-1201, December.
    15. Nazam Ali & Shoichiro Nakayama & Hiromichi Yamaguchi, 2021. "Analysis of Bus Fare Structure to Observe Modal Shift, Operator Profit, and Land-Use Choices through Combined Unified Transport Model," Sustainability, MDPI, vol. 14(1), pages 1-17, December.

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