Study on the Time Distribution of Some New Type Failure for Markov Repairable Systems
Lirong Cui · Acta Armamentarii · 2007
The time distribution of the ith new type failure for Markov repairable systems was studied.The Laplace transformation function of the density function of the distribution was obtained by the Ion-channel theory and the Laplace transformation.The Laplace transformation functions of probability distribution density functions for the difference between the times,at which the jth and j-1th new type failures happened,were derived in the cases of with and without precondition.Some numerical examples were presented to illustrate the results obtained in the paper.The conclusion is applicable to the research of Markov repairable systems,and is a useful extension to the general theory of Markov process.