Abstract
Reliability evaluation of a complex network is mostly done by exact and approximate approaches. Redundancy allocation (with s-identical and s-independent components) is one of the commonly used techniques for reliability optimization. But the occurrence of common cause failure (CCF) defeats the benefit of redundancy optimization. To validate the same, we have presented five exact approaches to evaluate the reliability of complex network. Also extended the work to evaluate and compare the reliability of the same network under CCF. To incorporate the CCFs in reliability evaluation, conditional probability approach is used. The qualitative and quantitative analysis of the evaluation process is discussed by implementing on a complex network with five subsystems. It includes the process of reliability optimization, process to incorporate CCF, quantitative demonstration of the concept with five evaluation methods, observations and conclusions.
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Abbreviations
- R s (x i ):
-
Reliability of the system consisting x i components
- R IC (t):
-
Reliability of the system under CCFs at the instant t
- r i :
-
Reliability of subsystem i
- R ICi (t):
-
Reliability of subsystem i under CCFs at the instant t
- q i :
-
Unreliability of subsystem i
- F ICi :
-
Unreliability of the subsystem i under CCFs at the instant t
- p i :
-
Reliability of single component of individual subsystem
- λ ij :
-
Failure rate of subsystem i involving j no of components
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Hazarika, K., Pahuja, G.L. (2019). Evaluation and Comparison of Effects of Common Cause Failures on Redundancy Optimization of a Complex Network. In: Singh, S., Wen, F., Jain, M. (eds) Advances in System Optimization and Control. Lecture Notes in Electrical Engineering, vol 509. Springer, Singapore. https://doi.org/10.1007/978-981-13-0665-5_14
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DOI: https://doi.org/10.1007/978-981-13-0665-5_14
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