Sensitivity analysis in bilevel linear programming (Q2721844)

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scientific article; zbMATH DE number 1616889
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English
Sensitivity analysis in bilevel linear programming
scientific article; zbMATH DE number 1616889

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    11 July 2001
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    sensitivity analysis
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    bilevel linear programming
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    Sensitivity analysis in bilevel linear programming (English)
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    The paper deals with a necessary and sufficient optimality condition for an optimal solution to a bilevel linear programming problem and its equivalent expression in nonconvex quadratic programming. The necessary and sufficient conditions are proposed to guarantee that the current optimal solution or the corresponding basis remains optimal when the parameters vary. An algorithm is also proposed to determine the set of the parameters, which leaves the current optimal solution optimal or \(\varepsilon\)-optimal. The paper is addressed to researches working in the area of sensitivity analysis.
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