UDC 519.872
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
and Training and Scientific Institute of the Physics and Technology of the National Technical University of Ukraine
“Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine
 kuznetsov2016@icloud.com
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2 Training and Scientific Institute of the Physics and Technology of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine
sea_hawk@icloud.com
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3 Training and Scientific Institute of the Physics and Technology of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine
shumska-aa@ukr.net
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EVALUATION OF THE GRADIENT OF THE PROBABILITY OF FAILURE
OF A RANK STRUCTURE SYSTEM BY THE FAST SIMULATION METHOD
Abstract. A model of a redundant repairable system of the rank structure is considered.
Its time operation is determined by distributions of a general form. In order to evaluate the gradient of the probability
of system failure in a given time interval, a fast simulation method is proposed.
A numerical example illustrates the application of this method to assess how the repair rates of different components types affect the reliability of the entire system as a whole.
Keywords: reliability, redundant repairable system, rank, simulation with prohibition, gradient, estimate, variance.
full text
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