Bayesian perspective on age replacement with minimal repair

Reliability Engineering and System Safety

Volumn 65, Issue 1, 1999, Pages 55-64

  Sheu, Shey Huei ^a   Yeh, Ruey Huei ^a   Lin, Yuh Bin ^a   Juang, Muh Guey ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

RELIABILITY; REPAIR; WEIBULL DISTRIBUTION;

BAYESIAN APPROACH;

FAILURE ANALYSIS;

EID: 0032630496     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0951-8320(98)00087-8     Document Type: Article

References (31)

1. Lotka A.J. A contribution to the theory of self-renewing aggregates with special reference to industrial replacement. Annals of Mathematical Statistics. 10:1939;1-25.
2. Barlow R.E., Hunter L.C. Optimum preventive maintenance policies. Operations Research. 8:1960;90-100.
3. Barlow R.E., Proschen F. Mathematical theory of reliability. 1965;John Wiley, New York.
4. Berg M., Bienvenu M., Cléroux R. Age replacement policy with age-dependent minimal repair. Infor. 24:1986;26-32.
5. Block H.W., Borges W.S., Savits T.H. A general age replacement model with minimal repair. Naval Research Logistics. 35:1988;365-372.
6. Boland P.J. Periodic replacement when minimal repair costs vary with time. Naval Research Logistics Quarterly. 29:1982;541-546.
7. Boland P.J., Proschan F. Periodic replacement with increasing minimal repair costs at failure. Operations Research. 30:1982;1183-1189.
8. Cléroux R., Dubuc S., Tilquin C. The age replacement problem with minimal repair and random repair cost. Operations Research. 27:1979;1158-1167.
9. Sheu S.H., Kuo C.M., Nakagawa T. Extended optimal age replacement policy with minimal repair. RAIRO Operations Research. 27:1993;337-351.
10. Sheu S.H., Griffith W.S., Nakagawa T. Extended optimal replacement model with random minimal repair costs. European Journal of Operational Research. 26:1995;636-649.
11. Sheu S.H. A generalized age and block replacement of a system subject to shocks. European Journal of Operational Research. 108:1998;107-124.
12. Gibbons D.I., Vance L.C. A simulation study of estimators for the 2-parameter Weibull distribution. IEEE Transations on Reliability. 30:1981;61-66.
13. Lawless J.F. Statistical methods and methods for lifetime data. 1982;John Wiley, New York.
14. Mann N.R. Point and interval estimation procedures for the two-parameter Weibull and extreme-value distribution. Technometrics. 10:1968;231-253.
15. Pan J.N., Chen M.B. Reliability estimation methods under various probability distribution functions. Journal of Chinese Statistical Association. 35:1997;173-192.
16. Sinha S.K., Sloan J.A. Bayes estimation of the parameters and reliability function of the 3-parameter Weibull distribution. IEEE Transations on Reliability. 37:1988;364-369.
17. Soland R.M. Bayesian analysis of the Weibull process with unknown scale and shape parameters. IEEE Transactions. 18:1969;181-184.
18. Thoman D.R., Bain L.J., Antle C.E. Maximum likelihood estimation, exact confidence intervals for reliability and tolerance limits in the Weibull distribution. Technometrics. 12:1970;363-371.
19. Varde S.D. Life testing and reliability estimation for the two parameter exponential distribution. Journal of American Statistical Association. 64:1969;621-631.
20. Sathe P.T., Hancock W.M. A Bayesian approach to the scheduling of preventive maintenance. AIIE Transactions. 5:1973;172-179.
21. Willson J.G., Benmerzouga A. Bayesian group replacement policies. Operation Research. 43:1995;471-476.
22. Bassin W.M. A Bayesian optimal overhaul interval model for the Weibull restoration process. Journal of the American Statistical Association. 68:1973;575-578.
23. Mazzuchi T.A., Soyer R. A Bayesian perspective on some replacement strategies. Reliability Engineering and System Safety. 51:1996;295-303.
24. Nakagawa T., Kowada M. Analysis of a system with minimal repair and its application to replacement policy. European Journal of Operational Research. 12:1983;176-182.
25. Savits T.H. Some multivariate distributions derived from a non-fatal shock model. Journal of Applied Probability. 25:1988;383-390.
26. Block H.W., Borges W.S., Savits T.H. Age-dependent minimal repair. Journal of Applied Probability. 22:1985;370-385.
27. Sheu S.H., Griffith W.S. Multivariate age-dependent imperfect repair. Naval Research Logistics. 38:1991;839-850.
28. Cox D.R. Renewal theory. 1962;Chapman-Hall, London.
29. Ross S.M. Applied probability models with optimization applications. 1970;Holden-Day, San Francisco.
30. Proschan F. Theoretical explanation of observed decreasing failure rate. Technometrics. 5:1963;375-384.
31. Bain L.J., Englehardt M. Statistical analysis of reliability and life-testing models: theory and methods. 2 :1991;Marcel Dekker, New York.