Assessment of a multi-state system under a shock model

• Published in: Applied mathematics and computation Vol. 269; pp. 1 - 8
• Main Author: Eryilmaz, Serkan
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.10.2015
• Subjects: Mean residual life; Multi-state system; Phase-type distribution; Shock model; Multi-state system; Phase-type distribution; Mean residual life; Shock model
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2015.06.129

A system is subject to random shocks over time. Let c1 and c2 be two critical levels such that c1 < c2. A shock with a magnitude between c1 and c2 has a partial damage on the system, and the system transits into a lower partially working state upon the occurrence of each shock in (c1, c2). A shoc...