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An effective way of improving the reliability of a system is the allocation of active redundancies. Let X1, X2 be s-independent lifetimes of the components C1 and C2, respectively, which form a series system. Let us denote U1 = min(max(X1,X),X2) and U2 = min(X1, max(X2, X)), where X is the lifetime of a redundancy (say R) s-independent of X1 and X2. That is, U1(U2) denote the lifetime of a system obtained by allocating R to C1(C2) as an active redundancy. Singh and Misra (1994) considered the criterion where C1 is preferred to C2 for the allocation of R as active redundancy if P(U1 > U2) ≥ P(U2 > U1). In this paper, we use the same criterion of Singh and Misra (1994). We investigate the allocation of one active redundancy when it differs depending on the component with which it is to be allocated. We also compare the allocation of two active redundancies (say R1 and R2) in two different ways; that is, R1 with C1 & R2 with C2, and viceversa. For this case, the hazard rate order plays an important role. We furthermore consider the allocation of active redundancy to k-out-of-n: G systems.
Date of Publication: Sept. 2004