Abstract
α‐dense curves allow to “densify” the space Rn with a precision α. These curves can be expressed by means of a single variable. When applied to an optimization problem depending on n variables they lead to a new optimization problem according to a single variable. In this paper, we propose classes of α‐dense curves allowing to decrease the necessary calculation time for obtaining a global optimum. An estimation of this calculation time is given for the Alienor method.
Subject
Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)
Reference3 articles.
1. Cherruault, Y. (1998), Modèles et Méthodes Mathématiques pour les Sciences du Vivant, Presses Universitaires de France.
2. Cherruault, Y. (1999), Optimisation: Méthodes locales et globales, Presses Universitaires de France.
3. Mora, G. and Cherruault, Y. (1999), “On the minimal length curve that densifies the square”, Kybernetes, Vol. 28 No. 8/9, pp. 1054–64.
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