Reliability Analysis of Multistate Systems Subject to Proof Testing Using Multiphase Markov Chains

doi:10.23940/ijpe.26.05.p2.245252

Abstract

Abstract: Reliability analysis of multistate systems in multistate environments presents a significant challenge, particularly when considering proof testing parameters. This paper introduces a novel reliability assessment framework for multistate systems subjected to periodic inspection testing, utilizing Multiphase Markov Chains (MMC). The approach effectively represents system behavior across various degradation states while integrating the effects of proof testing. By modeling distinct operational phases, including normal operation, degraded states, and proof test interventions, this method improves the estimation of multistate systems unavailability. A case study illustrates the impact of key proof test parameters, such as test efficiency and risk of inducing failures, on overall multistate system reliability. Additionally, two simulation cases are conducted to examine the influence of various inspection test factors and highlight the advantages of maintenance strategies.

Key words: multistate systems, proof testing, reliability analysis, multiphase Markov chains, safety instrumented systems, unavailability

Wahbi Rajhi and Walid Mechri. Reliability Analysis of Multistate Systems Subject to Proof Testing Using Multiphase Markov Chains [J]. Int J Performability Eng, 2026, 22(5): 245-252.

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