An extension of the Tobler’s law? Influence of the metric to compute the distance between an optimal facility and its demand points - AVIGNON Access content directly
Conference Papers Year : 2021

An extension of the Tobler’s law? Influence of the metric to compute the distance between an optimal facility and its demand points

Abstract

This research work presents an extension of the Tobler’s first law (TFL), that includes the metric used to measure the distance between a center and its demand points, in an optimal facility location problem framework (Hakimi, 1964). It provides a short overview of the works derived from the TFL and opens on the definition of a second law, less geographical and more mathematical. Indeed, its seems the distance, that is to say in our case a Lp-norm (a generalized Minkowski distance) considered to estimate a proximity between two points, has a strong weight on the meaning and on the shape of the TFL.
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Dates and versions

hal-03917692 , version 1 (04-01-2023)

Identifiers

  • HAL Id : hal-03917692 , version 1

Cite

Didier Josselin. An extension of the Tobler’s law? Influence of the metric to compute the distance between an optimal facility and its demand points. European Colloquium on Theoretical and Quantitative Geography 2021, Nov 2021, Manchester, United Kingdom. ⟨hal-03917692⟩
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