The (n,f,k) (<n,f,k>) system consists of n components ordered in a line or a circle and the system fails if and only if there exist at least f failed components or (and) at least k consecutive failed components. This type of models involves two common failure criteria of a system. In this paper, the...</n,f,k>

This paper is concerned with opportunistic maintenance on a multi-component cumulative damage shock model with stochastically dependent components. A component fails when its cumulative damage exceeds a given threshold, and any such a failure creates a maintenance opportunity, and triggers a...

For a consecutive-k-out-of-n system of components with independent and identically distributed increasing failure rate (IFR) lifetimes, Cui et al. (Probab. Engng. Inform. Sci. 9 (1995) 217) proved that for any fixed k, there exists an nk for which the system does not preserve IFR when nnk. On...

Many multi-state systems settle on more than one operating levels and the elementary states having a common operating level can be treated as one. In this paper, one kind of such Markov repairable systems is introduced, which is named aggregated Markov repairable systems with multi-operating...

The (n,f,k) system consists of n components ordered in a line or a cycle, while the system fails if, and only if, there exist at least f failed components or at least k consecutive failed components. For the linear (n,f,k) system with equal component reliabilities, the system reliability formula...

This paper is concerned with opportunistic maintenance on a multi-component cumulative damage shock model with stochastically dependent components. A component fails when its cumulative damage exceeds a given threshold, and any such a failure creates a maintenance opportunity, and triggers a...

Importance measures have been widely studied and applied in reliability and safety engineering. This paper presents a general formulation of moment-independent importance measures and several commonly discussed importance measures are unified based on Minkowski distance (MD). Moment-independent...

In a multi-component system, the assumption of failure independence among components is seldom valid, especially for those complex systems with complicated failure mechanism. For such systems, warranty cost is subject to all the factors including system configuration, quality of each component...

This paper presents a study of the problem of resource allocation between increasing protection of components and constructing redundant components in parallel systems subject to intentional threats. The defender aims at minimizing the entire system destruction probability during certain time...