A convex Hull algorithm for solving a location problem

نویسندگان

  • Nguyen Kieu Linh
  • Le Dung Muu
چکیده

A problem in distance geometry is to find the location of an unknown point in a given convex set in Rk such that its farthest distance to n fixed points is minimum. In this paper we present an algorithm based on subgradient method and convex hull computation for solving this problem. A recent improvement of Quickhull algorithm for computing the convex hull of a finite set of planar points is applied to fasten up computation in our numerical experiments.

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عنوان ژورنال:
  • RAIRO - Operations Research

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2015