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Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems |
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| Authors: | Nguyen Mau Nam Constantin Zălinescu |
| Affiliation: | 1. Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR, 97202, USA 2. Faculty of Mathematics, University Alexandru Ioan Cuza, Iasi, Romania 3. Octav Mayer Institute of Mathematics (Romanian Academy), Iasi, Romania |
| 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. |
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