Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization
Optimization and Control
2014-09-30 v1
Abstract
The basic optimization problem of road design is quite challenging due to a objective function that is the sum of nonsmooth functions and the presence of set constraints. In this paper, we model and solve this problem by employing the Douglas-Rachford splitting algorithm. This requires a careful study of new proximity operators related to minimizing area and to the stadium norm. We compare our algorithm to a state-of-the-art projection algorithm. Our numerical results illustrate the potential of this algorithm to significantly reduce cost in road design.
Keywords
Cite
@article{arxiv.1409.8244,
title = {Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization},
author = {Heinz H. Bauschke and Valentin R. Koch and Hung M. Phan},
journal= {arXiv preprint arXiv:1409.8244},
year = {2014}
}