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Solution Approach for Bus Transit Model with a Rectangular Service Area

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  • 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
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    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.
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