Gate points in continuous location between regions with different ℓp norms

L. Franco, F. Velasco and L. Gonzalez-Abril

European Journal of Operational Research, 2012, vol. 218, issue 3, 648-655

Abstract: In this paper, a set of notable points is given from the ℓp-distance between a point P and a straight line r. The problem of the geodesic path between two points of R2 separated by a straight line r with different norms in each half-plane is then studied from the notable points of these points. This geodesic path provides a point in r, called the “Gate point”, which is studied by varying ℓp- and ℓq-distances, and the slope m of the straight line r. The analytical expression of the Gate point is given in some particular cases.

Keywords: Continuous location; Gate-points; Geodesic path; Single-facility; ℓp-Distance (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:218:y:2012:i:3:p:648-655

DOI: 10.1016/j.ejor.2011.11.047

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