Cloud computing and hyperbolic Voronoi diagrams on the sphere
Abstract
In this work we study the minimization problem for the total distance in a cloud computing network on the sphere. We give a solution to this problem in terms of hyperbolic Voronoi diagrams on the sphere. We present results of computer simulations illustrating the solution.
 Publication:

arXiv eprints
 Pub Date:
 March 2012
 arXiv:
 arXiv:1203.2951
 Bibcode:
 2012arXiv1203.2951B
 Keywords:

 Mathematical Physics;
 Mathematics  Optimization and Control
 EPrint:
 9 pages and 1 figure