Оптимізація систем резервування методом точної квадратичної регуляції
Journal Title: Математичне моделювання - Year 2015, Vol 1, Issue 2
Abstract
The problem of optimization of the structure of systems redundancy elements. Such problems arise in the design of complex systems. To improve the reliability of operation of such systems of its elements are duplicated. This increases system cost and improves its reliability. When optimizing these systems is maximized probability of failure of the entire system while limiting its cost or the cost is minimized for a given probability of failure-free operation. A mathematical model of the problem is a discrete backup multiextremal. In the work for solving re-dundancy uses a new method for accurate quadratic regularization. Currently, it is the best method for local opti-mization of nonlinear problems. There have been numerous comparative numerical experiments in problems with the number of redundant subsystems to one hundred. These experiments confirm the effectiveness of the method of precise quadratic regularization for solving problems of redundancy.
Authors and Affiliations
А. І. Косолап, А. О. Довгопола
Keywords
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