Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems

2013/01/05 by Nguyen Mau Nam, Nam, Nguyen Mau, Constantin Zălinescu +1 · 1 citation
Computer Science · #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1301.0937

openalex publication_date 2013/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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