يافتن جواب هاي بهين دسته اي از مسائل بهينه سازي پارامتري بر حسب مقادير پارامتر با استفاده از شبکه هاي عصبي چندلايه

In this paper, parametric optimization problems are investigated. In a parametric optimization problem we assume ∈ Rⁿ is the vector of the parameters and x* is the optimal answer corresponding to it. The purpose of this paper is to determine a function such as so that we have ψ = x*. To do this, first for each, the corresponding optimal answer is calculated. In this way, a set of data bases consisting of parameters and the corresponding optimal values are obtained. A multilayer network of data base is trained to obtain the function ψ in a domain. In fact, the function ψ for each value of the parameter specifies the corresponding answer by the trained multilayer network. Finally, we conduct several numerical examples to test our method. [ABSTRACT FROM AUTHOR]