Jun 14, 2012 · We show that a solution of minimum total cost can be obtained by intersecting with C the Voronoi diagram of the sites in S, based on the functions d_p with ...

In this paper we consider the situation where the cost d ( p i , z ) of transporting point z to site p i is given by individual distance functions d p i ( z ) .

In this paper we consider the following variant of the well-known Monge-Kantorovich transportation problem. Let S be a set of n point sites in ℝ d .

Unlike the deep analytic methods of classical transportation theory, our proof is based directly on geometric arguments. Keywords: Monge-Kantorovich ...

Optimally solving a transportation problem using Voronoi diagrams · Darius Geiß, R. Klein, +1 author. G. Rote · Published in Computational geometry 14 June 2012 ...

Unlike the deep analytic methods of classical transportation theory, our proof is based on direct geometric arguments. Keywords: Monge-Kantorovich ...

In this paper we consider the following variant of the well-known Monge-Kantorovich transportation problem. Let S be a set of n point sites in ℝd .

Jun 14, 2012 · Given n points pj with additive weights wj, raising the value of a single weight wi will cause all sets Rwi−wj (pi,pj) to grow until C is fully.

Aug 28, 2015 · Darius Geiß, Rolf Klein, Rainer Penninger, and Günter Rote, Optimally solving a transportation problem using Voronoi diagrams, Computational ...

Eight types of continuous locational optimization problems are formulated, and these problems are solved through the ordinary Voronoi diagram, the farthest- ...