DIRECTIONAL BIAS OF THE L(P)-NORM

Citation
J. Brimberg et Rf. Love, DIRECTIONAL BIAS OF THE L(P)-NORM, European journal of operational research, 67(2), 1993, pp. 287-294
Citations number
16
Categorie Soggetti
Management,"Operatione Research & Management Science
ISSN journal
03772217
Volume
67
Issue
2
Year of publication
1993
Pages
287 - 294
Database
ISI
SICI code
0377-2217(1993)67:2<287:DBOTL>2.0.ZU;2-9
Abstract
This paper concerns the use of the l(p)-norm for estimating travel dis tances in a transportation network. In previous empirical studies, val ues of the parameter p > 2 have been employed to characterize road net works. After a detailed study of the directional bias of the l(p)-norm , it is shown here that such values need never be considered, since th e same degree of accuracy is obtained with a value of p in the interva l (1, 2) after rotating the axes 45-degrees.