Influence of the metrics on discrete facility location. Toward a pertinent Lp norm targeting a transport objective

The research objective of this paper is to find out the relation between the influence of a demand point on a center (a facility) location and the distance from this point to this center, according to a given metric, that is to say in our case a Lp-norm. Firstly exposed in a theoretical isotropic space, the relation is discussed and applied to a simple virtual transport network, using intermediate values of p, such as p=1.5 or p=3. Since the individual influence can be mapped, this approach provides to planners an interesting insight into on the impact of the metric on the relation between the center and the demand point influence spatial distribution.


  • English

Media Info

  • Pagination: 10p
  • Monograph Title: Transport Research Arena (TRA) 2014 Proceedings

Subject/Index Terms

Filing Info

  • Accession Number: 01530729
  • Record Type: Publication
  • Source Agency: ARRB
  • Files: VTI, TRIS, ATRI
  • Created Date: Jul 23 2014 12:54PM