Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems
Optimization and Control
2013-01-08 v1
Abstract
This paper is devoted to the study of directional minimal time functions that specify the minimal time for a vector to reach an object following its given direction. We provide a careful analysis of general and generalized differentiation properties of this class of functions. The analysis allows us to study a new model of facility location that involves sets. This is a continuation of our effort in applying variational analysis to facility location problems.
Keywords
Cite
@article{arxiv.1301.0937,
title = {Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems},
author = {Nguyen Mau Nam and Constantin Zalinescu},
journal= {arXiv preprint arXiv:1301.0937},
year = {2013}
}