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arXiv · 1409.8244

Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization

Heinz H. Bauschke·Valentin R. Koch·Hung M. Phan
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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.

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Heinz H. Bauschke, Valentin R. Koch, Hung M. Phan. 2014-09-29. Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization. https://arxiv.org/abs/1409.8244

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