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

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Alexandru Kristály, Gheorghe Morosanu, Ágoston Róth

Editorial: Springer Verlag, Springer Science + Business Media, LLC, Journal of Optimization Theory and Applications, 139(2), p.263-276, 2008.

Rezumat:

By using Riemann-Finsler geometry, we study the existence 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.

Cuvinte cheie: general cost functions, Riemann-Finsler manifolds, optimal deposit placements, evolutionary techniques

URL: http://www.springerlink.com/content/ml443404k57184q0/