Non-repairable Multi-state Consecutive 2-out-of-n Failed Systems subject to Correlated Failures  
Author Bentolhoda Jafary
Co-Author(s) Lance Fiondella
Abstract Most methods to model system reliability assume component failures are statistically independent. This assumption simplifies the calculations. In the real world, however, systems can experience correlated failures. This is especially true of consecutive k-out-of-n: failed systems because the failure of consecutive components can be geospatially correlated due to events such as natural disasters. Multi-state system (MSS) reliability modeling is a paradigm that allows both systems and components to exhibit more than two performance levels. This paper develops a multi-state consecutive 2-out-of-n:F system model and studies the impact of correlated component failures. The approach produces analytical expressions for the reliability of discrete and continuous time systems in terms of the component reliabilities and the correlation between the failures of the components. We illustrate the approach through a series of examples, which demonstrates the ability of the approach to assess the impact of correlated component failures on system reliability and related measures.
Keywords Multi-state system, consecutive k-out-of-n, system reliability, correlated component failure
    Article #:  23-290
Proceedings of the 23rd ISSAT International Conference on Reliability and Quality in Design
August 3-5, 2017 - Chicago, Illinois, U.S.A.