Impact of the Norm on Optimal Locations

Authors:
Marc Ciligot-Travain;Didier Josselin
Affiliations:
Université d'Avignon, LANLG, Avignon, France 84000;CNRS, Université d'Avignon, UMR ESPACE 6012 CNRS, Avignon, France 84000
Venue:
ICCSA '09 Proceedings of the International Conference on Computational Science and Its Applications: Part I
Year:
2009

Citing 4
Cited 0

LISP-STAT: an object oriented environment for statistical computing and dynamic graphics

LISP-STAT: an object oriented environment for statistical computing and dynamic graphics
Existence and Characterization of Optimal Locations

Journal of Global Optimization
On the Continuous Fermat-Weber Problem

Operations Research
Visual Statistics: Seeing Data with Dynamic Interactive Graphics (Wiley Series in Probability and Statistics)

Visual Statistics: Seeing Data with Dynamic Interactive Graphics (Wiley Series in Probability and Statistics)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Our research sets in the field of k -facilities location-allocation problems. More precisely, we developed an approach, that aims to assess the sensitivity of centers to different metrics used to locate them, according to various spatial distributions of demands. We start by a concise state of the art. Then, we justify our approach with several examples on real or simulated data. Two mathematical formalisms of the 1---facility problem and the sensitivity estimation are provided. We finally propose different ways to assess the influence of points of demand on the centers, including exploratory spatial data analysis and random simulations on consequent samples.