IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p514-d742796.html
   My bibliography  Save this article

Solution Approach for Bus Transit Model with a Rectangular Service Area

Author

Listed:
  • Yi-Fong Lin

    (Department of Fashion Industry Management, Hsing Wu University, New Taipei City 25103, Taiwan)

Abstract

This paper studies the solution procedure of a bus transit system with a rectangular service area that had been cited more than two hundred times. We will point out that they applied relations suitable for continuous variables, which are not held for a discrete variable and will result in invalid results. We provide our solution procedure to the same example proposed by the original paper to illustrate that their results are less accurate. Our findings will help researchers understand this kind of bus transit system.

Suggested Citation

  • Yi-Fong Lin, 2022. "Solution Approach for Bus Transit Model with a Rectangular Service Area," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:514-:d:742796
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/514/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/514/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. George Kocur & Chris Hendrickson, 1982. "Design of Local Bus Service with Demand Equilibration," Transportation Science, INFORMS, vol. 16(2), pages 149-170, May.
    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. Gao, Ziyou & Sun, Huijun & Shan, Lian Long, 2004. "A continuous equilibrium network design model and algorithm for transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 235-250, March.
    4. 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.
    5. Asadi Bagloee, Saeed & Ceder, Avishai (Avi), 2011. "Transit-network design methodology for actual-size road networks," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1787-1804.
    6. Tirachini, Alejandro & Hensher, David A., 2011. "Bus congestion, optimal infrastructure investment and the choice of a fare collection system in dedicated bus corridors," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 828-844, June.
    7. Peter G. Furth, 1986. "Zonal Route Design for Transit Corridors," Transportation Science, INFORMS, vol. 20(1), pages 1-12, February.
    8. Roca-Riu, Mireia & Estrada, Miquel & Trapote, César, 2012. "The design of interurban bus networks in city centers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(8), pages 1153-1165.
    9. Shyue Koong Chang & Schonfeld, Paul M., 1991. "Multiple period optimization of bus transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 453-478, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hörcher, Daniel & Tirachini, Alejandro, 2021. "A review of public transport economics," Economics of Transportation, Elsevier, vol. 25(C).
    2. 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.
    3. Andres Fielbaum & Alejandro Tirachini & Javier Alonso-Mora, 2021. "New sources of economies and diseconomies of scale in on-demand ridepooling systems and comparison with public transport," Papers 2106.15270, arXiv.org, revised Jul 2021.
    4. 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).
    5. Ahern, Zeke & Paz, Alexander & Corry, Paul, 2022. "Approximate multi-objective optimization for integrated bus route design and service frequency setting," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 1-25.
    6. 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).
    7. Philipp Heyken Soares, 2021. "Zone-based public transport route optimisation in an urban network," Public Transport, Springer, vol. 13(1), pages 197-231, March.
    8. Dessouky, Maged M & Hu, Shichun, 2021. "Dynamic Routing for Ride-Sharing," Institute of Transportation Studies, Working Paper Series qt6qq8r7hz, Institute of Transportation Studies, UC Davis.
    9. Kim, Myungseob (Edward) & Schonfeld, Paul, 2015. "Maximizing net benefits for conventional and flexible bus services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 80(C), pages 116-133.
    10. 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.
    11. Andrés Fielbaum & Sergio Jara-Díaz & Antonio Gschwender, 2018. "Transit Line Structures in a General Parametric City: The Role of Heuristics," Transportation Science, INFORMS, vol. 52(5), pages 1092-1105, October.
    12. Yan, Shangyao & Chi, Chin-Jen & Tang, Ching-Hui, 2006. "Inter-city bus routing and timetable setting under stochastic demands," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(7), pages 572-586, August.
    13. Cancela, Héctor & Mauttone, Antonio & Urquhart, María E., 2015. "Mathematical programming formulations for transit network design," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 17-37.
    14. Fielbaum, Andrés & Tirachini, Alejandro & Alonso-Mora, Javier, 2023. "Economies and diseconomies of scale in on-demand ridepooling systems," Economics of Transportation, Elsevier, vol. 34(C).
    15. 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.
    16. Ihab Kaddoura & Benjamin Kickhöfer & Andreas Neumann & Alejandro Tirachini, 2015. "Agent-based optimisation of public transport supply and pricing: impacts of activity scheduling decisions and simulation randomness," Transportation, Springer, vol. 42(6), pages 1039-1061, November.
    17. Høyem, Harald, 2022. "Public transport frequency and risk-taking behavior," Economics of Transportation, Elsevier, vol. 30(C).
    18. Ramos, Raúl & Silva, Hugo E., 2023. "Fare evasion in public transport: How does it affect the optimal design and pricing?," Transportation Research Part B: Methodological, Elsevier, vol. 176(C).
    19. Andres Fielbaum & Maximilian Kronmueller & Javier Alonso-Mora, 2022. "Anticipatory routing methods for an on-demand ridepooling mobility system," Transportation, Springer, vol. 49(6), pages 1921-1962, December.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:514-:d:742796. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.