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Article

On Complexity of a Global Optimization Problem

Ege University, Department of Mathematics, 35100, Bornova-Izmir / TURKEY
Math. Comput. Appl. 2003, 8(1), 27-34; https://doi.org/10.3390/mca8010027
Published: 1 April 2003

Abstract

The Solution of the Subproblem of the Cutting Angle Method of Global Optimization for problems of minimizing increasing Positively Homogeneous of degree one functions is proved to be NP-Complete. For the proof of this fact we formulate another problem which we call "Dominating Subset with Minimal Weight". The solution of this problem is also NP-Complete.
Keywords: Global Optimization Problem; Gutting Angle Method; Dominant Subset with Minimal Weight Problem; NP-Complete Global Optimization Problem; Gutting Angle Method; Dominant Subset with Minimal Weight Problem; NP-Complete

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MDPI and ACS Style

Nuriyev, U.G. On Complexity of a Global Optimization Problem. Math. Comput. Appl. 2003, 8, 27-34. https://doi.org/10.3390/mca8010027

AMA Style

Nuriyev UG. On Complexity of a Global Optimization Problem. Mathematical and Computational Applications. 2003; 8(1):27-34. https://doi.org/10.3390/mca8010027

Chicago/Turabian Style

Nuriyev, Urfat G. 2003. "On Complexity of a Global Optimization Problem" Mathematical and Computational Applications 8, no. 1: 27-34. https://doi.org/10.3390/mca8010027

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