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Optimal Placement of a Deposit between Markets: Riemann-Finsler Geometrical Approach

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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.

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Authors and Affiliations

  1. Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania

    A. Kristály

  2. Department of Mathematics, Central European University, 1051, Budapest, Hungary

    G. Moroşanu

  3. Department of Computer Science, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Á. Róth

Authors
  1. A. Kristály
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  2. G. Moroşanu
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  3. Á. Róth
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Corresponding author

Correspondence to A. Kristály.

Additional information

Communicated by T. Rapcsák.

The research of Alexandru Kristály was supported by the Grant PN II, ID_527/2007 and CNCSIS Project AT 8/70. Ágoston Róth was supported by the Research Center of Sapientia Project 1122.

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Kristály, A., Moroşanu, G. & Róth, Á. Optimal Placement of a Deposit between Markets: Riemann-Finsler Geometrical Approach. J Optim Theory Appl 139, 263–276 (2008). https://doi.org/10.1007/s10957-008-9421-3

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  • DOI: https://doi.org/10.1007/s10957-008-9421-3

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