Optimal preventive maintenance policy under fuzzy Bayesian reliability assessment environments

IIE Transactions (Institute of Industrial Engineers)

Volumn 42, Issue 10, 2010, Pages 734-745

  Liu, Yu ^a   Li, Yanfeng ^a   Huang, Hong Zhong ^a   Zuo, Ming J ^b   Sun, Zhanquan ^c  

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

^b UNIVERSITY OF ALBERTA   (Canada)

^c QILU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Bayesian estimation; fuzzy lifetime data; fuzzy parameter estimation; fuzzy reliability; fuzzy value ranking; genetic algorithm; neural network; Preventive maintenance; reliability assessment; T age replacement

Indexed keywords

BAYESIAN ESTIMATIONS; FUZZY PARAMETER; FUZZY RELIABILITY; FUZZY VALUE RANKING; LIFETIME DATA; VALUE RANKING;

BAYESIAN NETWORKS; DECISION MAKING; FUZZY CONTROL; GENETIC ALGORITHMS; MAINTAINABILITY; MEMBERSHIP FUNCTIONS; METAL ANALYSIS; NEURAL NETWORKS; NUMBER THEORY; OPTIMIZATION; PARAMETER ESTIMATION; RELIABILITY ANALYSIS; WEIBULL DISTRIBUTION;

PREVENTIVE MAINTENANCE;

EID: 77954344179     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/07408170903539611     Document Type: Article

References (48)

1. Akama, M. (2002) Bayesian analysis for the results of fatigue test using full-scale models to obtain the accurate failure probabilities of the Shinkansen vehicle axle. Reliability Engineering & System Safety, 75(3), 321-332.
2. Aourid,M. andDo,X.D. (1995) Neural network approximation: application to peak switching over-voltage determination in power systems, in Proceedings of the 1995 IEEE International Conference on Neural Networks, IEEE Press, Piscataway, NJ, pp. 200-204.
3. Berger, J.O. (1985) Statistical Decision Theory and Bayesian Analysis, Springer-Verlag, New York, NY.
4. Cai, K.Y. (1996) System failure engineering and fuzzy methodology: an introductory overview. Fuzzy Sets and Systems, 83(2), 113-133.
5. Cai, K.Y., Wen, C.Y. and Zhang, M.L. (1991) Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context. Fuzzy Sets and Systems, 42(2), 145-172.
6. Cai, K.Y., Wen, C.Y. and Zhang, M.L. (1993) Fuzzy states as a basis for a theory of fuzzy reliability. Microelectronics and Reliability, 33(15), 2253-2263.
7. Cai, K.Y.,Wen, C.Y. and Zhang, M.L. (1995) Posbist reliability behavior of fault-tolerant systems. Microelectronics and Reliability, 35(1), 49-56.
8. Cappelle, B. andKerre, E.E. (1995) Computer assisted reliability analysis: an application of possibilistic reliability theory to a subsystem of a nuclear power plant. Fuzzy Sets and Systems, 74(1), 103-113.
9. Cassady, C.R., Jr, Murdock, P. M. and Pohl, E.A. (2001) Selective maintenance for support equipment involving multiple maintenance actions. European Journal of Operational Research, 129(2), 252-258.
10. Cheng, C.H. (1998) A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems, 95(3), 307-317.
11. Chou, K.C. and Yuan, J. (1993) Fuzzy-Bayesian approach to reliability of existing structures. Structural Engineering, 119(11), 3276-3290.
12. Cremona, C. and Gao, Y. (1997) The possibilistic reliability theory: theoretical aspects and applications. Structural Safety, 19(2), 173-201.
13. Cybenko, G. (1989) Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals and Systems, 2(4), 303-314.
14. Ding, Y. and Lisnianski, A. (2008) Fuzzy universal generating functions formulti-state system reliability assessment. Fuzzy Sets and Systems, 159(3), 307-324.
15. Ding, Y., Zuo, M.J., Lisnianski, A. and Tian, Z. (2008) Fuzzy multistate system: general definitions, and performance assessment. IEEE Transactions on Reliability, 57(4), 589-594.
16. Fruehwirth-Schnatter, S. (1992) On statistical inference for fuzzy data with applications to descriptive statistics. Fuzzy Sets and Systems, 50(2), 143-165.
17. Huang, H.Z. (1995) Reliability analysis method in the presence of fuzziness attached to operating time. Microelectronics and Reliability, 35(12), 1483-1487.
18. Huang,H.Z. (1996)Reliability evaluation of a hydraulic truck crane using field data with fuzziness. Microelectronics and Reliability, 36(10), 1531-1536.
19. Huang,H.Z. (1997) Fuzzymulti-objective optimization decision-making of reliability of series system. Microelectronics and Reliability, 37(3), 447-449.
20. Huang, H.Z., Tong, X. and Zuo, M.J. (2004) Posbist fault tree analysis of coherent systems. Reliability Engineering & System Safety, 84(2), 141-148.
21. Huang, H.Z., Zuo, M.J. and Sun, Z.Q. (2006) Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets and Systems, 157(12), 1674-1686.
22. Kenarangui, R. (1991) Event-tree analysis by fuzzy probability. IEEE Transactions on Reliability, 40(1), 120-124.
23. Levitin, G. (2006) Genetic algorithms in reliability engineering. Reliability Engineering & System Safety, 91(9), 975-976.
24. Liou, T.S. andWang, M.J.J. (1992) Ranking fuzzy numbers with integral value. Fuzzy Sets and Systems, 50(3), 247-255.
25. Liu, P.X., Zuo, M.J. and Meng, M.Q.H. (2003) Using neural network function approximation for optimal design of continuous-state parallel-series systems. Computers & Operations Research, 30(3), 339-352.
26. Liu, Y. and Huang, H.Z. (2010) Reliability assessment for fuzzy multistate systems. International Journal of Systems Science, 41(4), 365-379.
27. Liu, Y., Huang, H.Z. and Levitin, G. (2008) Reliability and performance assessment for fuzzymulti-state elements. Proceedings of the Institution of Mechanical Engineers, Part O, Journal of Risk and Reliability, 222(4), 675-686.
28. Mahadevan, S., Zhang,R.X. and Smith,N. (2001) Bayesian networks for system reliability reassessment. Structural Safety, 23(3), 231-251.
29. Murakami, S., Maeda, S. and Imamura, S. (1983) Fuzzy decision analysis on the development of centralized regional energy control system, in Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, Pergamon Press, New York, pp. 363-368.
30. Onisawa, T. (1988) An approach to human reliability in man-machine systems using error possibility. Fuzzy Sets and Systems, 27(2), 87-103.
31. Park, K.S. and Kim, J.S. (1990) Fuzzy weighted-checklist with linguistic variables. IEEE Transactions on Reliability, 39(3), 389-393.
32. Pham,H. andWang,H. (1996) Imperfect maintenance. European Journal of Operational Research, 94(3), 425-438
33. Popova, E. andWu,H.C. (1999) Renewal reward processes with fuzzy rewards and their application to T-age replacement policies. European Journal of Operational Research, 117(3), 606-617.
34. Press, S.J. (1989) Bayesian Statistics: Principles,Models, andApplications, Wiley, New York, NY.
35. Rajpal, P.S., Shishodia, K.S. and Sekhon, G.S. (2006) An artificial neural network for modeling reliability, availability and maintainability of a repairable system. Reliability Engineering & System Safety, 91(7), 809-819.
36. Singer,D. (1990)Afuzzy set approach to fault tree and reliability analysis. Fuzzy Sets and Systems, 34(2), 145-155.
37. Smith, J. Q. (1998) Decision Analysis: A Bayesian Approach, Chapman and Hall, London, UK.
38. Tanaka,H.,Fan, L.T.,Lai,F.S. andToguchi, K. (1983)Fault-tree analysis by fuzzy probability. IEEE Transactions on Reliability, 32(5), 453-457.
39. Tian, Z., Zuo, M.J. and Huang, H.Z. (2008) Reliability-redundancy allocation for multi-state series-parallel systems. IEEE Transactions on Reliability, 57(2), 303-310.
40. Utkin, L.V. and Gurov, S.V. (1996) A general formal approach for fuzzy reliability analysis in the possibility context. Fuzzy Sets and Systems, 83(2), 203-213.
41. Viertl, R. (1997) On statistical inference for non-precise data. Environmetrics, 8(5), 541-568.
42. Viertl, R. and Gurker, W. (1995) Reliability estimation based on fuzzy lifetime data, in Reliability and Safety Analyses under Fuzziness, Onisawa, T. and Kacprzyk, J. (eds), Physica Verlag, Heidelberg, Germany, pp. 163-168.
43. Wang, H.Z. (2002) A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 39(3), 469-489.
44. Wu, H.C. (2004a) Bayesian system reliability assessment under fuzzy environments. Reliability Engineering & System Safety, 83(3), 277-286.
45. Wu, H.C. (2004b) Fuzzy Bayesian estimation on lifetime data. Computational Statistics, 19(4), 613-633.
46. Wu, H.C. (2004c) Fuzzy reliability estimation using Bayesian approach. Computers & Industrial Engineering, 46(3), 467-493.
47. Zadeh, L.A. (1965) Fuzzy sets. Information and Control, 8(3), 338-353.
48. Zadeh, L.A. (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 100(1), 3-28.