R. E. Barlow and F. Proschan, “Mathematical Theory of Reliability,” John Wiley & Sons, New York, 1965. - References - Scientific Research Publishing

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R. E. Barlow and F. Proschan, “Mathematical Theory of Reliability,” John Wiley & Sons, New York, 1965.

has been cited by the following article:

TITLE: Semi-Markovian Model of Control of Restorable System with Latent Failures

AUTHORS: Yuriy E. Obzherin, Aleksey I. Peschansky, Yelena G. Boyko

KEYWORDS: Control, Latent Failure, Semi-Markovian Process, System Stationary Characteristics

JOURNAL NAME: Applied Mathematics, Vol.2 No.3, March 24, 2011

ABSTRACT: Mathematical model of control of restorable system with latent failures has been built. Failures are assumed to be detected after control execution only. Stationary characteristics of system operation reliability and efficiency have been defined. The problem of control execution periodicity optimization has been solved. The model of control has been built by means of apparatus of semi-Markovian processes with a discrete-contin- uous field of states.

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