RT journal article
T1 Minimal repair of failed components in coherent systems
A1 Navarro, Jorge
A1 Arriaza Gómez, Antonio Jesús
A1 Suárez Llorens, Alfonso
A2 Estadística e Investigación Operativa
K1 Coherent systems
K1 Minimal repair
K1 Distorted distributions
K1 Copula
K1 Stochastic orders
AB The minimal repair replacement is a reasonable assumption in many practical systems. Under thisassumption a failed component is replaced by another one whose reliability is the same as that ofthe component just before the failure, i.e., a used component with the same age. In this paperwe study the minimal repair in coherent systems. We consider both the cases of independent anddependent components. Three replacement policies are studied. In the first one, the first failedcomponent in the system is minimally repaired while, in the second one, we repair the componentwhich causes the system failure. A new technique based on the relevation transform is used tocompute the reliability of the systems obtained under these replacement policies. In the thirdcase, we consider the replacement policy which assigns the minimal repair to a fixed componentin the system. We compare these three options under different stochastic criteria and for differentsystem structures. In particular, we provide the optimal strategy for all the coherent systems with1-4 independent and identically distributed components.
PB Elsevier
SN 0377-2217
YR 2019
FD 2019
LK http://hdl.handle.net/10498/29860
UL http://hdl.handle.net/10498/29860
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026