Optimal maintenance time for repairable systems

Journal of Quality Technology

Volumn 39, Issue 1, 2007, Pages 48-53

  Gilardoni, Gustavo L ^a,c   Colosimo, Enrico A ^b,c  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^c Department of Statistics ^*  (Brazil)

Author keywords

Maximum likelihood estimate; Minimal repair; Nonhomogeneous poisson process; Power law process

Indexed keywords

DATA REDUCTION; FAILURE ANALYSIS; FUNCTION EVALUATION; MAXIMUM LIKELIHOOD; POISSON DISTRIBUTION; POWER TRANSFORMERS;

INTENSITY FUNCTION; MINIMAL REPAIR; NONHOMOGENEOUS POISSON PROCESS; POWER LAW PROCESSES;

REPAIR;

EID: 33847765064     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2007.11917672     Document Type: Article

References (15)

1. ASCHER, H. and FEINGOLD, H. (1984). Repairable Systems Reliability: Modeling, Inference, Misconception and Their Causes. Marcel Dekker, New York, NY.
2. BAIN, L. J. and ENGELHARDT, M. (1991). Statistical Analysis of Reliability and Life- Testing Models, Theory and Methods. Marcel Dekker, New York, NY.
3. BARLOW, R. E. and HUNTER, L. C. (1960). "Optimum Preventive Maintenance Policies". Operations Research 8, pp. 90-100.
4. BERMAN, M. and TURNER, T. R. (1992). "Approximate Point Process Likelihoods with GLIM". Applied Statistics 41, pp. 31-38.
5. BLOCK, H. W.; BORGES, W. S.; and SAVITS, T. H. (1990). "A General Age Replacement with Minimal Repair". Naval Research Logistics 35, pp. 365-372.
6. COX, D. R. and HINKLEY, D. (1974). Theoretical Statistics. Chapman and Hall, London.
7. COX, D. R. and MILLER, H. D. (1965). The Theory of Stochastic Processes. Methuen, London.
8. CROW, L. R. (1974). "Reliability Analysis or Complex Systems". In F. Proschan and J. Serfling (editors), Reliability and Biometry: Statistical Analysis of Lifelength, pp. 379-410. SIAM, Philadelphia, PA.
9. GERSTACK, I. B. (1977). Models of Preventive Maintenance. North Holland, Amsterdam.
10. LAI, K. K.; LEUNG, K. N. F.; TAO, B.; and WANG, S. Y. (2001). "A Sequential Method for Preventive Maintenance and Replacement of a Repairable Single-Unit System". Journal of the Operational Research Society 52, pp. 1276-1283.
11. MEEKER, W. Q. and ESCOBAR, L. A. (1998). Statistical Methods for Reliability Data. John Wiley, New York, NY.
12. PARK, D. H.; JUNG, G. M.; and YUM, J. K. (2000). "Cost Minimization for Periodic Maintenance Policy of a System Subject to Slow Degradation". Reliability Engineering & System Safety 68, pp. 105-112.
13. PULCINI, G. (2001). "A Bounded Intensity Process for the Reliability of Repairable Equipment". Journal of Quality Technology 33, pp. 480-492.
14. RIGDON, S. E. and BASU, A. P. (2000). Statistical Methods for the Reliability of Repairable Systems. John Wiley, New York, NY.
15. ZHAO, M. and XIE, M. (1996). "On Maximum Likelihood Estimation for a General Non-homogeneous Poisson Process". Scandinavian Journal of Statistics 23, 597-607.