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Properties of Three-Dimensional Median Line Location Models

Author

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  • Jack Brimberg
  • Henrik Juel
  • Anita Schöbel

Abstract

We consider the problem of locating a line with respect to some existing facilities in 3-dimensional space, such that the sum of weighted distances between the line and the facilities is minimized. Measuring distance using the l p norm is discussed, along with the special cases of Euclidean and rectangular norms. Heuristic solution procedures for finding a local minimum are outlined. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Jack Brimberg & Henrik Juel & Anita Schöbel, 2003. "Properties of Three-Dimensional Median Line Location Models," Annals of Operations Research, Springer, vol. 122(1), pages 71-85, September.
    • Handle: RePEc:spr:annopr:v:122:y:2003:i:1:p:71-85:10.1023/a:1026138205325
    DOI: 10.1023/A:1026138205325
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    Cited by:

    1. Blanquero, Rafael & Carrizosa, Emilio & Schöbel, Anita & Scholz, Daniel, 2011. "A global optimization procedure for the location of a median line in the three-dimensional space," European Journal of Operational Research, Elsevier, vol. 215(1), pages 14-20, November.

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