Switching Markov chains for a holistic modeling of SIS unavailability

This paper proposes a holistic approach to model the Safety Instrumented Systems (SIS). The model is based on Switching Markov Chain and integrates several parameters like Common Cause Failure, Imperfect Proof testing, partial proof testing, etc. The basic concepts of Switching Markov Chain applied...

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Bibliographic Details
Published in:Reliability engineering & system safety 2015-01, Vol.133, p.212-222
Main Authors: Mechri, Walid, Simon, Christophe, BenOthman, Kamel
Format: Article
Language:English
Subjects:
Applied sciences
Automatic
Common cause failure
Common cause failures
Computer science
control theory
systems
Control theory. Systems
Diagnostic coverage
Engineering Sciences
Exact sciences and technology
Inference from stochastic processes
time series analysis
Markov chains
Mathematical models
Mathematics
Operational research and scientific management
Operational research. Management science
Probability and statistics
Probability of failure on demand
Process control. Computer integrated manufacturing
Proof test
Proof testing
Reliability analysis
Reliability engineering
Reliability theory. Replacement problems
Safety
Safety systems
Sciences and techniques of general use
Statistics
Switching
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Summary:This paper proposes a holistic approach to model the Safety Instrumented Systems (SIS). The model is based on Switching Markov Chain and integrates several parameters like Common Cause Failure, Imperfect Proof testing, partial proof testing, etc. The basic concepts of Switching Markov Chain applied to reliability analysis are introduced and a model to compute the unavailability for a case study is presented. The proposed Switching Markov Chain allows us to assess the effect of each parameter on the SIS performance. The proposed method ensures the relevance of the results. •A holistic approach to model the unavailability safety systems using Switching Markov chains.•The model integrates several parameters like probability of failure due to the test, the probability of not detecting a failure in a test.•The basic concepts of the Switching Markov Chains are introduced and applied to compute the unavailability for safety systems.•The proposed Switching Markov Chain allows assessing the effect of each parameter on the chemical reactor performance.
ISSN:0951-8320
1879-0836
DOI:10.1016/j.ress.2014.09.005