Title: A multi-state $k$-out-of-$n$: G system subject to multiple events and loss of units
Authors: Juan Eloy Ruiz-Castro - University of Granada (Spain) [presenting]
Mohammed Dawabsha - University of Granada (Spain)
Abstract: A $k$-out-of-$n$: G system is an $n$-system that works if at least $k$ units are operational. We consider a multi-state $k$-out-of-$n$: G system that evolves in discrete time subject to multiple events. Each unit can undergo repairable and non-repairable failures. When a non-repairable failure occurs the unit is removed and if the failure is repairable then the unit goes to the repair facility for corrective repair. When the number of units in the system is less than $k$ then the system is replaced by new and identical one. The system is modelled and several interesting measures are worked out in a well-structured form in transient and stationary regime. Matrix analytic methods are used. The results have been implemented computationally with Matlab.