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Order-Value Optimization: Formulation and solution by means of a primal cauchy method

Roberto Andreani (), Cibele Dunder () and José Mario Martínez ()

Mathematical Methods of Operations Research, 2003, vol. 58, issue 3, 387-399

Abstract: The Order-Value Optimization (OVO) problem is a generalization of the classical Minimax problem. Instead of the maximum of a set functions, the functional value that ranks in the p-th place is minimized. The problem seeks the application to (non-pessimistic) decision making and to model fitting in the presence of (perhaps systematic) outliers. A Cauchy-type method is introduced that solves the problem in the sense that every limit point satisfies an adequate optimality condition. Numerical examples are given. Copyright Springer-Verlag 2003

Keywords: Order-Value Optimization; Iterative methods; Global convergence; Fitting parameters (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/s001860300297

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