A global optimization procedure for the location of a median line in the three-dimensional space

Rafael Blanquero, Emilio Carrizosa, Anita Schöbel and Daniel Scholz

European Journal of Operational Research, 2011, vol. 215, issue 1, 14-20

Abstract: A global optimization procedure is proposed to find a line in the Euclidean three-dimensional space which minimizes the sum of distances to a given finite set of three-dimensional data points. Although we are using similar techniques as for location problems in two dimensions, it is shown that the problem becomes much harder to solve. However, a problem parameterization as well as lower bounds are suggested whereby we succeeded in solving medium-size instances in a reasonable amount of computing time.

Keywords: Global; optimization; Geometric; branch-and-bound; methods; Line; location (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:215:y:2011:i:1:p:14-20

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