Abstract
The system reliability depending on some system components states changes is investigated in this paper. This investigation assumes the representation of the initial system by the structure function. This function definition agrees to the Boolean function. Therefore the mathematical approach of Logical Differential Calculus is used in the analysis of the system reliability change depending on the changes of components states. Based on this mathematical approach, calculation of two measures is considered – Dynamic Reliability Indices and Birbaum’s Importance Measure. These measures are indices of importance analysis, that allow estimating the system reliability depending on components states changes.
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References
Lisnianski, A., Levitin, G.: Multi-State System Reliability. Assessment, Optimization and Applications. World Scientific (2003)
Xie, M., Dai, Y.-S., Poh, K.-L.: Multi-State System Reliability. In: Xie, M., Dai, Y.-S., Poh, K.-L. (eds.) Computing System Reliability. Models and Analysis, pp. 207–237. Kluwer Academic Publishers (2004)
Shooman, M.L.: Reliability of Computer Systems and Networks: Fault Tolerance, Analysis, and Design. John Wiley & Sons, Inc. (2002)
Kuo, W., Zhu, X.: Importance Measures in Reliability, Risk and Optimization. John Wiley & Sons, Ltd. (2012)
Fricks, R.M., Trivedi, K.S.: Importance analysis with Markov chains. In: Proc. of Reliability and Maintainability Annual Symposium, pp. 89–95 (2003)
Armstrong, M.J.: Reliability-importance and dual failure-mode components. IEEE Trans. Reliability 46, 212–221 (1997)
Akers, S.B.: On a Theory of Boolean Functions. J. Soc. Ind. Appl. Math. 7, 487–498 (1959)
Zaitseva, E., Levashenko, V.: Importance Analysis by Logical Differential Calculus. Automation and Remote Control 74(2), 171–182 (2013)
Moret, B.M.E., Thomason, M.G.: Boolean Difference Techniques for Time-Sequence and Common-Cause Analysis of Fault-Trees. IEEE Trans Reliability R-33, 399–405 (1984)
Zio, E.: An Intriduction to the Basics of reliability and Risk Analysis. World Scientific (2007)
Zaitseva, E., Puuronen, S.: Estimation of Multi-State system reliability depending on changes of some system component efficiencies. In: Proc. of European Safety and Reliability Conference (ESREL 2007), pp. 253–261. Taylor & Francis Group (2007)
Kvassay, M., Levashenko, V.: Birnbaum Importance for Estimation of Multi-state and Binary-state Systems. Radioelectronic and Computer Systems 64(5), 261–266 (2013)
Hong, J.S., Lie, C.H.: Joint Reliability-importance of Two Edges in an Undirected Network. IEEE Trans. on Reliability 42(1), 17–23, 33 (1993)
Tucker, J.H., Tapia, M.A., Bennett, A.W.: Boolean Integral Calculus for Digital Systems. IEEE Trans. on Computers C-34(1), 78–81 (1985)
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Zaitseva, E., Levashenko, V., Kvassay, M. (2014). Investigation of System Reliability Depending on Some System Components States. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Proceedings of the Ninth International Conference on Dependability and Complex Systems DepCoS-RELCOMEX. June 30 – July 4, 2014, Brunów, Poland. Advances in Intelligent Systems and Computing, vol 286. Springer, Cham. https://doi.org/10.1007/978-3-319-07013-1_49
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DOI: https://doi.org/10.1007/978-3-319-07013-1_49
Publisher Name: Springer, Cham
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