Etude de la fiabilité des systèmes disposés en blocs

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.