Imperfect maintenance in a generalized competing risks framework

Journal of Applied Probability

Volumn 43, Issue 3, 2006, Pages 825-839

  Doyen, Laurent ^a   Gaudoin, Olivier ^b  

^a UNIV GRENOBLE ALPES   (France)

^b GRENOBLE INSTITUTE OF TECHNOLOGY   (France)

Author keywords

Competing risks; Imperfect maintenance; Point process; Reliability; Virtual age

Indexed keywords

EID: 34047175887     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1158784949     Document Type: Article

References (18)

1. ANDERSEN, P. K., BORGAN, Ø., GILL, R. D. AND KEIDING, N. (1993). Statistical Models Based on Counting Processes. Springer, New York.
2. BEDFORD, T. AND LINDQVIST, B. H. (2004). The identifiable problem for repairable systems subject to competing risks. Adv. Appl. Prob. 36, 774-790.
3. BROWN, J. F., MAHONEV, J. F. AND SIVALZIAN, B. D. (1998). Hysteresis repair in discounted replacement problems. IIE Trans. 15, 156-165.
4. BROWN, M. AND PROSCHAN, F. (1983). Imperfect repair. J. Appl. Prob. 20, 851-859.
5. BUNEA, C. AND BEDFORD, T. (2002). The effect of model uncertainty on maintenance optimization. IEEE Trans. Reliab. 51, 486-493.
6. COOKE, R. AND BEDFORD, T. (2002). Reliability databases in perspective. IEEE Trans. Reliab. 51, 294-310.
7. COOKE, R. M. (1993). The total time test statistic and age-dependent censoring. Statist. Prob. Lett. 18, 307-312.
8. CROWDER, M. J. (2001). Classical Competing Risks. CRC, Boca Raton, FL.
9. DOYEN, L. (2004). Modélisation et évaluation de l'efficacité de la maintenance des systèmes réparables. Doctoral Thesis, Institut National Polytechnique de Grenoble. Available at http://tel.ccsd.cnrs.fr/documents/archives0/00/00/77/22/index.html.
10. DOYEN, L. AND GAUDOIN, G. (2004). Classes of imperfect repair models based on reduction of failure intensity or virtual age. Reliab. Eng. System Safety 84, 45-56.
11. JACK, N. (1998). Age-reduction models for imperfect maintenance. IMA J. Math. Appl. Business Industry 9, 347-354.
12. KIJIMA, M. (1989). Some results for repairable systems with general repair. J. Appl. Prob. 26, 89-102.
13. KIJIMA, M., MORIMURA, H. AND SUZUKI, Y. (1988). Periodical replacement problem without assuming minimal repair. Operat. Res. 37, 194-203.
14. LANGSETH, H. AND LINDQVIST, B. H. (2003). A maintenance model for components exposed to several failure mechanisms and imperfect repair. In Mathematical and Statistical Methods in Reliability, eds K. Doksum and B. H. Lindqvist, World Scientific, River Edge, NJ, pp. 415-430.
15. LANGSETH, H. AND LINDQVIST, B. H. (2006). Competing risks for repairable systems: a data study. J. Statist. Planning Infer. 136, 1687-1700.
16. LINDQVIST, B. H., STØVE, B. AND LANGSETH, H. (2006). Modelling of dependence between critical failure and preventive maintenance: the repair alert model. J. Statist. Planning Infer. 136, 1701-1717.
17. PHAM, H. AND WANG, H. (1996). Imperfect maintenance. Europ. J. Operat. Res. 94, 425-438.
18. TSIATIS, A. (1975). A nonidentifiability aspect of the problem of competing risks. Proc. Nat. Acad. Sci. USA 72, 20-22.