Title
Gate points in continuous location between regions with different ℓp norms.
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 R-2 separated by a straight line r with different norms in each half-plane is then 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. (C) 2011 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2012
10.1016/j.ejor.2011.11.047
European Journal of Operational Research
Keywords
Field
DocType
Continuous location,Gate-points,Geodesic path,Single-facility,ℓp-Distance
Line (geometry),Mathematical optimization,Geodesic path,Geometry,Mathematics
Journal
Volume
Issue
ISSN
218
3
0377-2217
Citations 
PageRank 
References 
2
0.39
5
Authors
3
Name
Order
Citations
PageRank
L. Franco161.19
Francisco Velasco2203.41
Luis Gonzalez-Abril310220.14