Unconstrained discrete infmax problem solving applied to yield design

One of the methods of solving unconstrained discrete infmax or minimax problems consists in regularizing the functionF(x)=maxifi(x),i=1,...,m, m∈Rn using various techniques. A new method of solving these problems, which is similar in nature to the regularization method, is presented. It is, however,...

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Veröffentlicht in:Structural Optimization 1999-12, Vol.18 (4), p.247-255
Hauptverfasser: Turgeman, S, Guessab, B
Format: Artikel
Sprache:eng
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Zusammenfassung:One of the methods of solving unconstrained discrete infmax or minimax problems consists in regularizing the functionF(x)=maxifi(x),i=1,...,m, m∈Rn using various techniques. A new method of solving these problems, which is similar in nature to the regularization method, is presented. It is, however, differentiated from the latter by the fact that regularization is not applied toF(x) but to a function parametered byp (p≥1), the expression of which does not contain the max operator. Depending on the value ofp, regularization is either local (p=1) or total (p>1).The practical advantage of the proposed method is highlighted in solving large scale problems arising from the static yield design method.
ISSN:0934-4373
1615-147X
1615-1488
DOI:10.1007/BF01223306