Abstract
Coherent systems and Marshall-Olkin run shock models are combined. Coherent systems consisting of n components receive some kind of shocks from n + 1 different sources similar to Marshall-Olkin type. More precisely, when the component j receive k consecutive fatal shocks from the source j or k consecutive fatal shocks from the source n+1, it fails, j = 1, …,n. When the interarrival time of shocks has phase-type distribution, reliability, mean time to failure (MTTF) and mean residual life (MRL) function of the coherent systems are studied. Numerical examples and graphical representations are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 185-192 |
| Number of pages | 8 |
| Journal | Mathematical Sciences and Applications E-Notes |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 20 Mar 2020 |
Keywords
- Coherent system
- Marshall-Olkin distribution
- Mean residual lifetime
- Phase-type distributions
- Reliability