Optimal (τ, T) Opportunistic Maintenance of a k-out-of-n:G System with Imperfect PM and Partial Failure

Naval Research Logistics

Volumn 47, Issue 3, 2000, Pages 223-239

  Pham, Hoang ^a   Wang, Hongzhou ^a,b  

^a DEPARTMENT OF INDUSTRIAL AND SYSTEMS ENGINEERING   (United States)

^b NOKIA RESEARCH CENTER   (United States)

Author keywords

Availability; Cost rate; Imperfect maintenance; k out of n:G system; Opportunistic maintenance; Optimization; Partial failure

Indexed keywords

EID: 0001615257     PISSN: 0894069X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6750(200004)47:3<223::AID-NAV3>3.0.CO;2-A     Document Type: Article

References (21)

1. R.E. Barlow and L.C. Hunter, Optimum preventive maintenance policies, Oper Res 8 (1960), 90-100.
2. R.E. Barlow and F. Proshan, Mathematical theory of reliability, Wiley, New York, 1965, p. 220.
3. P.J. Boland, Periodic replacement when minimal repair costs vary with time, Nav Res Logistics 29(4) (1982), 541-546.
4. P.J. Boland and F. Proshan, Periodic replacement with increasing minimal repair costs at failure, Oper Res 30 (1982), 1183-1189.
5. J. Huang and O.G. Okogbaa, A heuristic replacement scheduling approach for multi-unit systems with economic dependency, Int J Reliab Qual Safety Eng 3(1) (1996), 1-10.
6. P.K. Kapur, R.B. Garg, and N.L. Butani, Some replacement policies with minimal repairs and repair cost limit, Int J Syst Sci 20(2) (1989), 267-279.
7. E.J. Muth, An optimal decision rule for repair vs replacement, IEEE Trans Reliab R-26 (3) (1977), 179-181.
8. T. Nakagawa, Optimum policies when prevenlive maintenance is imperfect, IEEE Trans Reliab R-28 (1979), 331-332.
9. T. Nakagawa, Optimization problems in k-out-of-n systems, IEEE Trans Reliab R-34 (1985), 248-250.
10. M. Ohnishi, T. Ibaraki, C. Liu, and H. Mine, "Adaptive (t, T)-minimal repair and replacement policy when failure distribution includes unknown parameter," Reliability theory and applications, S. Osaki and J. Cao (Editors), World Scientific, Singapore, 1987, pp. 304-313.
11. K. Okumoto and S. Osaki, Optimum policies for a standby system with preventive maintenance, J Oper Res Soc 28 (1977), 415-423.
12. H. Pham and H. Wang, Imperfect maintenance, Eur J Oper Res 94 (1996), 425-438.
13. S. Sheu, Generalized block replacement policy with minimal repair and general random repair costs for a multi-unit system, J Oper Res Soc 42(4) (1991), 331-341.
14. S. Sheu and C. Liou, Optimal replacement of a k-out-of-n system subject to shocks, Microelectron Reliab 32(5) (1992), 649-655.
15. A. Tahara and T. Nishida, Optimal replacement policy for minimal repair model, J Oper Res Soc Jpn 18(3&4) (1975), 113-124.
16. C. Tilquin and R. Cleroux, Periodic replacement with minimal repair at failure and general cost function, J Stat Comput Simul 4 (1975), 63-77.
17. H. Wang and H. Pham, Optimal age-dependent preventive maintenance policies with imperfect maintenance, Int J Reliab Qual Safety Eng 3(2) (1996), 119-135.
18. K. Yasui, T. Nakagawa, and S. Osaki, A summary of optimal replacement policies for a parallel redundant system, Microelectron Reliab 28 (1988), 635-641.
19. W. Yun, An age replacement policy with increasing minimal repair cost, Microelectron Reliab 29 (1989), 153-157.
20. M. Zelen and N.C. Severo, "Probability functions," Handbook of mathematical functions, M. Abramowitz and I.A. Stegun (Editors), Applied Mathematics Series 55, U.S. Department of Commerce, Washington, DC, 1964, pp. 925-995.
21. X. Zheng, All opportunity-triggered replacement policy for multiple-unit system, IEEE Trans Reliab 44(4) (1995), 648-652.