Reliability and performance assessment for fuzzy multi-state elements

Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability

Volumn 222, Issue 4, 2008, Pages 675-686

  Liu, Y ^a   Huang, H Z ^a   Levitin, G ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b ISRAEL ELECTRIC CORPORATION   (Israel)

Author keywords

fuzzy Markov model; fuzzy Markov rewards matrix; fuzzy multi state element; fuzzy multi state systems; parametric programming; reliability assessment

Indexed keywords

EID: 84990361313     PISSN: 1748006X     EISSN: 17480078     Source Type: Journal    
DOI: 10.1243/1748006XJRR180     Document Type: Article

References (33)

1. Murchland J. Fundamental concepts and relations for reliability analysis of multistate systems. In Reliability and fault tree analysis. (Eds Barlow R. Fussell J. Singpurwalla N. ), 1975, pp. 581–618 (SIAM, Philadelphia)
2. Barlow R. Wu A. Coherent systems with multistate elements. Math. Oper. Res., 1978, 3, 275–281
3. Ross S. Multivalued state element systems. Ann. Prob., 1979, 7, 379–383
4. Ushakov I. A. Universal generating function. Sov. J. Comput. Syst. Sci., 1986, 24 (5), 118–129
5. Levitin G. A universal generating function approach for the analysis of multi-state systems with dependent elements. Reliab. Engng Syst. Saf., 2004, 84, 285–292
6. Lisnianski A. Levitin G. Multi-state system reliability assessment, optimization, application, 2003 (World Scientific, Singapore)
7. Li W. Zuo M. J. Reliability evaluation of multi-state weighted k-out-of-n systems. Reliab. Engng Syst. Saf., 2008, 93, 160–167
8. Zuo M. J. Tian Z. Performance evaluation of generalized multi-state k-out-of-n systems. IEEE Trans. Reliab., 2006, 55 (2), 319–327
9. Yeh W. C. The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function method. Reliab. Engng Syst. Saf., 2006, 91, 800–808
10. Ding Y. Lisnianski A. Fuzzy universal generating functions for multi-state system reliability assessment. Fuzzy Sets Syst., 2008, 159, 307–324
11. Lisnianski A. Extended block diagram method for a multi-state system reliability assessment. Reliab. Engng Syst. Saf., 2007, 92, 1601–1607
12. Zadeh L. A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst., 1978, 1, 3–28
13. Zadeh L. A. Fuzzy sets. Inf. Control, 1965, 8, 338–353
14. Alex R. Fuzzy point estimation and its application on fuzzy supply chain analysis. Fuzzy Sets Syst., 2007, 157, 1571–1587
15. Pardo M. J. Fuente D. D. L. Optimal selection of the service rate for a finite input source fuzzy queuing system. Fuzzy Sets Syst., 2008, 159, 325–342
16. Chen S. P. A mathematical programming approach to the machine interference problem with fuzzy parameter. Appl. Math. Comput., 2006, 174, 374–387
17. Cai K. Y. Wen C. Y. Zhang M. L. Fuzzy reliability modeling of gracefully degradable computing systems. Reliab. Engng Syst. Saf., 1991, 33, 141–157
18. Huang H. Z. Reliability analysis method in the presence of fuzziness attached to operation time. Microelectron. Reliab., 1995, 35 (12), 1483–1487
19. Huang H. Z. Tong X. Zuo M. J. Posbist fault tree analysis of coherent systems. Reliab. Engng Syst. Saf., 2004, 84, 141–148
20. Wu H. C. Fuzzy reliability estimation using Bayesian approach. Comput. Ind. Engng, 2004, 46, 467–493
21. Wu H. C. Bayesian system reliability assessment under fuzzy environment. Reliab. Engng Syst. Saf., 2004, 83, 277–286
22. Huang H. Z. Zuo M. J. Sun Z. Q. Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets Syst., 2006, 157, 1674–1686
23. Pandey D. Tyagi S. K. Profust reliability of a gracefully degradable system. Fuzzy Sets Syst., 2007, 158, 794–803
24. Cai K. Y. Fuzzy reliability theories. Fuzzy Sets Syst., 1991, 40 (3), 510–511
25. Kleiner Y. Sadiq R. Rajani B. Modelling the deterioration of buried infrastructure as a fuzzy Markov process. J. Water Supply Res. Technol., 2006, 55 (2), 67–80
26. Ross S. M. Stochastic processes, second edition, 1996 (Wiley, New York)
27. Levitin G. Lisnianski A. Optimization of imperfect preventive maintenance for multi-state systems. Reliab. Engng Syst. Saf., 2000, 67, 193–203
28. Levitin G. Lisnianski A. Joint redundancy and maintenance optimization for multi-state series-parallel systems. Reliab. Engng Syst. Saf., 1999, 64, 33–42
29. Li W. Pham H. Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks. IEEE Trans. Reliab., 2005, 54 (2), 297–303
30. Levitin G. Lisnianski A. Importance and sensitivity analysis of multi-state systems using the universal generating function method. Reliab. Engng Syst. Saf., 1999, 65, 271–282
31. Popova E. Wu H. C. Renewal reward processes with fuzzy rewards and their application to T-age replacement policies. Eur. J. Oper. Res., 1999, 117, 606–617
32. Jiang Q. Chen C. H. A numerical algorithm of fuzzy reliability. Reliab. Engng Syst. Saf., 2003, 80, 299–307
33. Levitin G. Computational intelligence in reliability engineering: new metaheuristics, neural and fuzzy techniques in reliability, 2007 (Springer, London)