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Skuteczność hybrydowej metody optymalizacji w rozwiązywaniu zadań o zróżnicowanej charakterystyce

Twardochleb M., Rychcicki R.

Metody Informatyki Stosowanej

2009

nr 4 (21)

135-145

The main research objective of this paper is the development, analysis, implementation and determination of the efficiency of hybrid optimization methods applied to a variety of mathematical concepts describing real-life problems which involve a large number of variables. The optimization is carried out by a hybrid serialized cascading procedure which combines several different sub-procedures with dissimilar characteristics, sharing the same objective function. During the efficiency-determination phase, several effectiveness tests were conducted, comparing the hybrid method with other optimization techniques.

On the maxima of two functions which are simultaneously unilaterally approximately continuous and approximately regulated

Grande M.

Demonstratio Mathematica

2005

Vol. 38, nr 3

523--531

In this article we investigate the maxima of two unilaterally approximately continuous and approximately regulated functions. In particular we prove that if / is the maximum of two unilaterally approximately continuous and approximately regulated functions then for each x is an element of Dunap(f) = {x : f is not unilaterally approximately continuous at x} the inequality f(x) < max(fap(x+),fap(x-)) holds. Moreover, we show some condition ensuring that an approximately regulated function f such that Dap(f) is countable and for each x is an element of Dunap(f) the inequality f(x) < max(fap(x+),fap(x-)) holds, is the maximum of two unilaterally approximately continuous and approximately regulated functions.