Locating Median Lines and Hyperplanes with a Restriction on the Slope
Author | : Thorsten Krempasky |
Publisher | : |
Total Pages | : 0 |
Release | : 2012 |
ISBN-10 | : OCLC:931032463 |
ISBN-13 | : |
Rating | : 4/5 (63 Downloads) |
Download or read book Locating Median Lines and Hyperplanes with a Restriction on the Slope written by Thorsten Krempasky and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we consider the location of median lines when there is a restriction on the slope of the line to locate as well as the more general location of median hyperplanes when there is a restriction on the slope vector of the hyperplane to locate. We are given a set of existing facilities in R^2 or R^n and we are searching for a new facility that is a line or a hyperplane, respectively, minimizing the sum of distances between the existing facilities and the new facility while satisfying a restriction on its slope. We investigate this problem in the plane R^2 using different distance ...