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On the Reliability of Multi-State m-consecutive-at least-k-out-of-n: F Systems

by N. A. Mokhlis, N. A. Hassan, E. M. El Sayed
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 7
Year of Publication: 2013
Authors: N. A. Mokhlis, N. A. Hassan, E. M. El Sayed
10.5120/11858-7629

N. A. Mokhlis, N. A. Hassan, E. M. El Sayed . On the Reliability of Multi-State m-consecutive-at least-k-out-of-n: F Systems. International Journal of Computer Applications. 69, 7 ( May 2013), 40-44. DOI=10.5120/11858-7629

@article{ 10.5120/11858-7629,
author = { N. A. Mokhlis, N. A. Hassan, E. M. El Sayed },
title = { On the Reliability of Multi-State m-consecutive-at least-k-out-of-n: F Systems },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 7 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 40-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number7/11858-7629/ },
doi = { 10.5120/11858-7629 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:29:38.029200+05:30
%A N. A. Mokhlis
%A N. A. Hassan
%A E. M. El Sayed
%T On the Reliability of Multi-State m-consecutive-at least-k-out-of-n: F Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 7
%P 40-44
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Reliability importance of a component is a quantitative measure of the importance of the individual component in contributing to system reliability. In this paper, an appropriate Markov chain imbedding technique is employed to obtain the reliability of an multi-state m-consecutive-at least-k-out-of-n: F systems when the system components are independently functioning with not necessarily equal reliability. Finally, an illustrative is given example.

References
  1. Agarwal, M. , Sen, K. and Mohan, P. , "GERT Analysis of m-consecutive-k-out-of-n systems," IEEE Transactions on Reliability, Vol. 56, No. 1,(2007), pp. 26-34.
  2. Fu, J. C. and Koutras, M. V. , "Distribution theory of runs: a Markov chain approach," J Am Stat Assoc Vol. 89, No. 427,(1994), pp. 1050-1058.
  3. Fu, J. C. and Hu, B. , "On reliability of a large consecutive-k-out-of-n-f system with (k-1)-step Markov dependence, " IEEE Transactions on Reliability, vol. 36,(1987), pp. 75–77.
  4. Fu, J. C. , "Bounds for reliability of large consecutive-k-out-of-n-f systems with unequal component reliability," IEEE Transactions on Reliability, vol. 35,(1986), pp. 316–319.
  5. Godbole, A. P. , "Approximate reliabilities of m- consecutive-k-out-of-n:failure systems," Stat Sinica, Vol. 3, No. 3,(1993), pp. 321-327.
  6. Griffith, W. S. ,"On consecutive-k-out-of-n: failure systems and their generalizations," Reliability and Quality Control, North Holland, (1986), pp. 157-165.
  7. Habib, A. R. O. Al-Seedy and Radwan, T. , "Reliability evaluation of multi-state consecutive k-out-of-r-from-n : G system," Applied Mathematical Modelling, vol. 31, (2007), pp. 2412–2423.
  8. Huang, J. , Zuo, M. J. and Fang, Z. , "Multi-state consecutive- k-out-of- n systems," IIE Transactions, Vol. 35, No. 6, (2003), pp. 527-534.
  9. Huang, J. , Zuo, M. J. and Wu, Y. H. , "Generalized multi-state k-out-of- n:G systems," IEEE Transactions on Reliability, Vol. 49, No. 1, (2000), pp. 105-111.
  10. Han, Q. and Aki, S. , "Joint distributions of runs in a sequence of multi-state trials," Ann Inst Statist Math, Vol. 51, No. 3,(1999), pp. 419-447.
  11. Haim, M. and Porat, Z. , " Bayes reliability modeling of a Multistate consecutive-k-out-of-n:F system," in Proceedings of the Annual Reliability and Maintainability Symposium, (1991), pp. 582–586.
  12. Koutras, M. V. , "Consecutive-k,r-out-of-n:DFM systems," Microelectronics and Reliability, Vol. 37, No. 4, (1997), pp. 597–603.
  13. Koutras, M. V. and Alexandrou, V. A. , "Runs, scans and urn model distributions: a unified Markov chain approach," Ann Inst Statist Math. , Vol. 47, No. 4,(1995), pp. 743-766.
  14. Kontoleon, J. M. , "Reliability determination of r- successive-out-of-n:F system," IEEE Transactions on Reliability, Vol. 29, No. 5,(1980), pp. 437-447.
  15. Levitin, G. and Ben-Haim, H. , "Consecutive sliding window systems," Reliability Engineering and System Safety, vol. 96, (2011), pp. 1367–1374.
  16. Levitin, G. "Linear multi-state sliding-window systems," IEEE Transactions on Reliability , vol. 52, (2003), pp. 263–269.
  17. Malinowski, J. and Preuss,W. , " Reliability of reverse-tree-structured systems with multi-state components,"Microelectronics Reliability, Vol. 36, No. 1,(1996), pp. 1–7.
  18. Malinowski, J. and Preuss,W. , "Reliability of circular consecutively connected systems with multi-state components," IEEE Transactions on Reliability, Vlo. 44, No. 3,(1995), pp. 532–534.
  19. Papastavridis, S. G. and Sfakianakis, M. E. , "Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n: F system," IEEE Transactions on Reliability, vol. 40, (1991), pp. 277–279.
  20. Papastavridis, S. ,"m-consecutive-k-out-of-n:F systems," IEEE Transactions on Reliability, Vol. 39, No. 3, (1990), pp. 386-388.
  21. Radwan, T. , Habib A. , Alseedy R. and Elsherbeny A. , "Bounds for increasing multi-state consecutive k-out-of-r-from-n: F system with equal components probabilities," Applied Mathematical Modeling, vol. 35, (2011), pp. 2366–2373.
  22. Spiros, D. D. , Frosso S. M. and Zaharias M. P. , "On the reliability of consecutive systems," Proceedings of the World Congress on Engineering(WCE), Vol. 3, June 30 - July 2,(2010), London, U. K.
  23. Wood, A. P. , "Multistate block diagrams and fault trees," IEEE Trans. Reliab. , Vol. R-34, No. 3,(1985), pp. 236-240.
  24. Zhao, X. , Xu, Y. and Liu F. , "State distributions of multi-state consecutive-k systems," IEEE Transactions on Reliability, vol. 61, (2012), pp. 274–281.
  25. Zhao, X. , Cui, L. R. , Zhao W. and Liu F. , "Exact reliability of a linear connected-(r, s)-out-of-(m, n): f system," IEEE Transactions on Reliability, vol. 60, (2011), pp. 689–698.
  26. Zhao X. and Cui L. R. , "Reliability evaluation of generalized multi-state k-out-of-n systems based on FMCI approach," International Journal of Systems Science, vol. 41, (2010), pp. 1437–1443.
  27. Zhao X. and Cui L. R. , "On the accelerated scan finite Markov chain imbedding approach," IEEE Transactions of Reliability, vol. 58, (2009), pp. 383-388.
  28. Zuo, M. J. and Tian, Z. , "Performance evaluation of generalized multi-state k-out-of-n systems," IEEE Transactions on Reliability, V. 55, No. 2,(2006), pp. 319-327.
  29. Zuo, M. J. and Liang, M. , "Reliability of multistate consecutively connected systems," Reliability Engineering and System Safety, Vol. 44,(1994), pp. 173–176.
Index Terms

Computer Science
Information Sciences

Keywords

Reliability Multi-state Markov chain imbedding Consecutive systems

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