®®®® SIIA Público

Título del libro: Proceedings Of 2008 Ieee International Conference On Service Operations And Logistics, And Informatics, Ieee/soli 2008
Título del capítulo: A method for modeling generalized distance functions

Autores UNAM:
HERICA SANCHEZ LARIOS;
Autores externos:

Idioma:
Inglés
Año de publicación:
2008
Palabras clave:

Aerospace vehicles; Calculations; Cavity resonators; Facilities; Probability density function; Arc joining; Calculus of variations; Distinct points; Euclidean spaces; Facility location problems; Generalized distance functions; New concepts; Non uniforms; Physical interpretations; Positive definite; Transportation costs; Travel distances; Travel times; Two points; Functions


Resumen:

We propose a method for modeling distance functions in an n dimensional Euclidean space such that, for each ordered pair of distinct points there is at least one path connecting them. Our distance functions may refer to transportation cost, travel distance, travel time, energy expended, etc. We introduce two new concepts: generalized distance function (gdf) and arc induced by a gdf. A gdf, unlike metrics, can be asymmetric and non positive definite, and unlike Lp metrics, it can be nonuniform. We show that a gdf can be obtained by solving a problem of the calculus of variations, where the value of the functional for a given arc joining two points represents the length of the arc measured with respect to that gdf. We obtain a gdf with physical interpretation. ©2008 IEEE.


Entidades citadas de la UNAM: