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A Trajectory Approach to the Round-Trip Location Problem

Author

Listed:
  • Z. Drezner

    (University of Michigan, Dearborn, Michigan)

  • G. O. Wesolowsky

    (McMaster University, Hamilton, Ontario)

Abstract

This paper treats the round-trip location problem proposed by Chan and Hearn. The object of the problem is to find the facility location that minimizes the maximum weighted round-trip distance between the facility and N pairs of demand points. The algorithm proposed here is based on the numerical solution of differential equations. Unlike the Chan and Hearn algorithm, which is based on linear programming and is applicable only to rectangular distances, this method is equally applicable to Euclidean and general ( l p ) distances.

Suggested Citation

  • Z. Drezner & G. O. Wesolowsky, 1982. "A Trajectory Approach to the Round-Trip Location Problem," Transportation Science, INFORMS, vol. 16(1), pages 56-66, February.
    • Handle: RePEc:inm:ortrsc:v:16:y:1982:i:1:p:56-66
    DOI: 10.1287/trsc.16.1.56
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    Cited by:

    1. Berman, Oded & Drezner, Zvi & Wesolowsky, George O., 2007. "The transfer point location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 978-989, June.
    2. Capelle, Thomas & Cortés, Cristián E. & Gendreau, Michel & Rey, Pablo A. & Rousseau, Louis-Martin, 2019. "A column generation approach for location-routing problems with pickup and delivery," European Journal of Operational Research, Elsevier, vol. 272(1), pages 121-131.
    3. Drezner, Zvi & Wesolowsky, George O., 2001. "On the collection depots location problem," European Journal of Operational Research, Elsevier, vol. 130(3), pages 510-518, May.
    4. O Berman & Z Drezner & G O Wesolowsky, 2008. "The multiple location of transfer points," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 805-811, June.
    5. Alumur, Sibel A. & Campbell, James F. & Contreras, Ivan & Kara, Bahar Y. & Marianov, Vladimir & O’Kelly, Morton E., 2021. "Perspectives on modeling hub location problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 1-17.

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