Optimal placement of a deposit between markets: Riemann-Finsler geometrical approach

A. Kristály, G. Moroşanu, Á Róth

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

By using the Riemann-Finsler geometry, we study the existence and location of the optimal points for a general cost function involving Finsler distances. Our minimization problem provides a model for the placement of a deposit within a domain with several markets such that the total transportation cost is minimal. Several concrete examples are studied either by precise mathematical tools or by evolutionary (computer assisted) techniques.

Original languageEnglish
Pages (from-to)263-276
Number of pages14
JournalJournal of Optimization Theory and Applications
Volume139
Issue number2
DOIs
Publication statusPublished - Nov 1 2008

Keywords

  • Evolutionary techniques
  • General cost functions
  • Optimal deposit placements
  • Riemann-Finsler manifolds

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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