OPTIMAL REDUNDANCY OF K-OUT-OF-N-G SYSTEM WITH 2 KINDS OF CCFS

This paper considers the problem of optimal redundancy of K-out-of-n:G systems. The model highlights the occurrence of two types of common-c ourse failures, namely, lethal and non-lethal CCFs, in addition to ran dom failures. The optimum number of redundant components (n) in K-out -of-n: G systems are derived with two types of CCF. The optimization i s approached by a minimization of the mean cost rate (C1 (n)) which i s established to be finite and unique. Numerical evidence indicates th e reduction of optimal redundancy with two types of CCF when compared to random failures alone.