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Improved fixed point optimality conditions for mixed norms minisum location

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  • F. Plastria

Abstract

We improve and extend sufficient conditions for an optimal solution to happen at a fixed point in a single facility minisum location model with mixed transportation modes recently proposed and studied by Brimberg, Love and Mladenović. In particular, conditions are derived that are valid for general mixed metrics, while for mixed ℓ p -norms, possibly with rotated axes, much stronger conditions are obtained. An example demonstrates the superiority of the new conditions. Copyright Sociedad de Estadística e Investigación Operativa 2014

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  • F. Plastria, 2014. "Improved fixed point optimality conditions for mixed norms minisum location," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 170-184, April.
    • Handle: RePEc:spr:topjnl:v:22:y:2014:i:1:p:170-184
    DOI: 10.1007/s11750-011-0246-0
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    References listed on IDEAS

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    1. E. Weiszfeld & Frank Plastria, 2009. "On the point for which the sum of the distances to n given points is minimum," Annals of Operations Research, Springer, vol. 167(1), pages 7-41, March.
    2. Frank Plastria, 2011. "The Weiszfeld Algorithm: Proof, Amendments, and Extensions," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 357-389, Springer.
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    Cited by:

    1. Frank Plastria, 2021. "Using the power of ideal solutions: simple proofs of some old and new results in location theory," 4OR, Springer, vol. 19(3), pages 449-467, September.

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