RT Generic T1 Active redundancy allocation in systems A1 Romera Ayllón, María Rosario A1 Valdés, José A1 Zequeira, R. AB An effective way of improving the reliability of a system is theallocation of active redundancy. Let $X_{1}$, $X_{2}$ be independentlifetimes of the components $C_{1}$ and $C_{2}$, respectively, whichform a series system. Let denote $U_{1} = \min ( \max(X_{1},X),X_{2})$ and $U_{2} = \min (X_{1},\max (X_{2},X))$, where Xis the lifetime of a redundancy (say S) independent of $X_{1}$ and$X_{2}$. That is $U_{1}(U_{2})$ denote the lifetime of a systemobtained by allocating S to $C_{1}(C_{2})$ as an active redundancy.Singh and Misra (1994) considered the criterion where $C_{1}$ ispreferred to $C_{2}$ for redundancy allocation if $P(U_{1}> U_{2})\geq P(U_{2} > U_{1})$. In this paper we use the samecriterion of Singh and Misra (1994) and we investigate theallocation of one active redundancy when it differs depending on thecomponent with which it is to be allocated. We find sufficientconditions for the optimization which depend on the components andredundancies probability distributions. We also compare theallocation of two active redundancies (say $S_{1}$ and $S_{2}$) intwo different ways, that is $S_{1}$ with $C_{1}$ and $S_{2}$ with$C_{2}$ and viceversa. For this case the hazard rate order plays animportant role. We obtain results for the allocation of more thantwo active redundancies to a k-out-of-n systems. YR 2002 FD 2002-03 LK https://hdl.handle.net/10016/180 UL https://hdl.handle.net/10016/180 LA eng LA eng DS e-Archivo RD 1 may. 2024