Abstract:
The object of our work is a study the consecutive k-out-of-n system and the consecutive k-out-ln
parallel.
Firstly, in the expressions and bounds of the reliability (R) consecutive k-out-of-n system
appair the trem qk
, so, a little gaps in the evaluation of q yields a great one in the evalution of q k
and then in the estimation of R. Ror this reason we propose a new method based on the Markov chains; this can help us to estimate directly R with the qk estimator rather
the q estimator. More precisely, we establish a new method to calculate and estimate the reliability of the system.
Finally, we propose bounds for the reliability of consecutive k-out-of-l n parallel system.