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The canonical order and optimization problems

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Abstract

Using the partial order technique, we describe a subclass of objective functions taking their optimum at the greedy point of a given feasible polyhedron inR n.

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References

  1. Edmonds J (1970) Submodular functions, matroids and certain polyhedra. In: Combinatorial Structures and their Applications. Gordon and Breach, New York 69–87

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  2. Zimmermann U (1977) Some partial orders related to boolean optimization and the greedy algorithm. Annals of Discrete Mathematics 1:539–550

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  3. Kovalev M (1987) Matroids in discrete optimization. Belarusian University Press, Minsk (in Russian)

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  4. Kovalev MM, Vasilkov DM The canonical order and greedy algorithms. European Journal of Operational Research

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Supported by the Belarusian Foundatmental Research Found

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Kovalev, M.M., Vasilkov, D.M. The canonical order and optimization problems. Mathematical Methods of Operations Research 43, 161–167 (1996). https://doi.org/10.1007/BF01680369

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  • DOI: https://doi.org/10.1007/BF01680369

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