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• W1973428137 abstract "Purpose – In this article the aim is to propose a new form to densify parallelepipeds of RN by sequences of α‐dense curves with accumulated densities.Design/methodology/approach – This will be done by using a basic α‐densification technique and adding the new concept of sequence of α‐dense curves with accumulated density to improve the resolution of some global optimization problems.Findings – It is found that the new technique based on sequences of α‐dense curves with accumulated densities allows to simplify considerably the process consisting on the exploration of the set of optimizer points of an objective function with feasible set a parallelepiped K of RN. Indeed, since the sequence of the images of the curves of a sequence of α‐dense curves with accumulated density is expansive, in each new step of the algorithm it is only necessary to explore a residual subset. On the other hand, since the sequence of their densities is decreasing and tends to zero, the convergence of the algorithm is assured.Pract..." @default.
• W1973428137 created "2016-06-24" @default.
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• W1973428137 date "2012-03-02" @default.
• W1973428137 modified "2023-09-27" @default.
• W1973428137 title "Accumulated densification and applications to global optimization" @default.
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• W1973428137 doi "https://doi.org/10.1108/03684921211213151" @default.
• W1973428137 hasPublicationYear "2012" @default.
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