Optimal networks by mass transportation via points allocation
Optimization and Control
2009-10-15 v4 Metric Geometry
Abstract
It is shown that optimal network plans can be obtained, naturally, as a limit of easier problems of point allocations. These problems are obtained by minimizing the mass transportation on the set of atomic measures of prescribed number of atoms. Each of these problems can be solved by minimizing a function of a finite, prescribed number of variables.
Cite
@article{arxiv.0908.0266,
title = {Optimal networks by mass transportation via points allocation},
author = {Gershon Wolansky},
journal= {arXiv preprint arXiv:0908.0266},
year = {2009}
}
Comments
7 pages