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Single-facility location problems in two regions with ℓ1- and ℓq-norms separated by a straight line

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  • Franco, L.
  • Velasco, F.
  • Gonzalez-Abril, L.
  • Mesa, Juan A.

Abstract

In this paper, Fermat–Weber location problems with demand points located in two regions Ω1 and Ωq separated by a straight line, are addressed. Ω1 and Ωq are, respectively, endowed by different norms ℓ1 and ℓq, with q > 1. In order to compute distances between points in different regions, the concept of Gate point is applied.

Suggested Citation

  • Franco, L. & Velasco, F. & Gonzalez-Abril, L. & Mesa, Juan A., 2018. "Single-facility location problems in two regions with ℓ1- and ℓq-norms separated by a straight line," European Journal of Operational Research, Elsevier, vol. 269(2), pages 577-589.
    • Handle: RePEc:eee:ejores:v:269:y:2018:i:2:p:577-589
    DOI: 10.1016/j.ejor.2018.02.008
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    References listed on IDEAS

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    1. Franco, L. & Velasco, F. & Gonzalez-Abril, L., 2012. "Gate points in continuous location between regions with different ℓp norms," European Journal of Operational Research, Elsevier, vol. 218(3), pages 648-655.
    2. Robert F. Love & James G. Morris, 1979. "Mathematical Models of Road Travel Distances," Management Science, INFORMS, vol. 25(2), pages 130-139, February.
    3. Jack Brimberg & H. Kakhki & George Wesolowsky, 2003. "Location Among Regions with Varying Norms," Annals of Operations Research, Springer, vol. 122(1), pages 87-102, September.
    4. López-de-los-Mozos, M.C. & Mesa, Juan A. & Schöbel, Anita, 2017. "A general approach for the location of transfer points on a network with a trip covering criterion and mixed distances," European Journal of Operational Research, Elsevier, vol. 260(1), pages 108-121.
    5. Carrizosa, Emilio & Rodriguez-Chia, Antonio M., 1997. "Weber problems with alternative transportation systems," European Journal of Operational Research, Elsevier, vol. 97(1), pages 87-93, February.
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    Cited by:

    1. Gökhan Altay & M. Hakan Akyüz & Temel Öncan, 2023. "Solving a minisum single facility location problem in three regions with different norms," Annals of Operations Research, Springer, vol. 321(1), pages 1-37, February.

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