Reliability evaluation of multi-state weighted -out-of- systems

The k -out-of- n systems have been extensively studied in recent years. A binary weighted k -out-of- n model has also been reported in the literature. In this paper, we first compare two approaches for reliability evaluation of binary weighted k -out-of- n systems. We then provide two models of multi-state weighted k -out-of- n system models. Recursive algorithms are presented for reliability evaluation of these new models. The universal generating function approach is also used for reliability evaluation of multi-state weighted k -out-of- n systems.