A periodic replacement model based on cumulative repair-cost limit for a system subjected to shocks

IEEE Transactions on Reliability

Volumn 59, Issue 2, 2010, Pages 374-382

  Sheu, Shey Huei ^a,b   Chang, Chin Chih ^a,b   Chen, Yen Luan ^c   Zhang, Zhe George ^d  

^a PROVIDENCE UNIVERSITY   (Taiwan)

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

^c TAKMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^d WESTERN WASHINGTON UNIVERSITY   (United States)

Author keywords

Cumulative repair cost limit; Minimal repair; Optimal maintenance; Replacement policy

Indexed keywords

CUMULATIVE REPAIR-COST LIMIT; MINIMAL REPAIR; OPTIMAL MAINTENANCE; REPLACEMENT POLICY;

COSTS; NUMERICAL ANALYSIS; OPTIMIZATION; POISSON DISTRIBUTION;

REPAIR;

EID: 77953101793     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2010.2048733     Document Type: Article

References (46)

1. M. S. Abdel-Hameed, "Optimal replacement of a system subject to shocks," Journal of Applied Probability, vol.23, pp. 107-114, 1986.
2. M. S. Abdel-Hameed, "An imperfect maintenance model with block replacement," Applied Stochastic Models and Data Analysis, vol.3, pp. 63-72, 1987.
3. D. Ait Kadi and R. Cléroux, "Optimal block replacement policies with multiple choice at failure," Naval Research Logistics Quarterly, vol.35, pp. 99-110, 1988.
4. D. S. Bai and W. Y. Yun, "An age replacement policy with minimal repair cost limit," IEEE Trans. Reliability, vol.R-35, pp. 452-454, 1986.
5. R. E. Barlowand L. C. Hunter, "Optimum preventive maintenance policies," Operations Research, vol.8, pp. 90-100, Jan./Feb. 1960.
6. R. E. Barlow and F. Proschan, Mathematical Theory of Reliability. New York: Wiley, 1965.
7. F. Beichelt, "A replacement policy based on limits for repair cost rate," IEEE Trans. Reliability, vol.R31, pp. 401-403, 1982.
8. F. Beichelt, "A replacement policy based on limiting the cumulative maintenance cost," International Journal of Quality and Reliability Management, vol.18, pp. 76-83, 2001.
9. M. Berg, M. Bievenu, and R. Cléroux, "Age replacement policy with age-dependent minimal repair," INFOR, vol.24, pp. 26-32, 1986.
10. M. Berg and R. Cléroux, "A marginal cost analysis for an age replacement policy with minimal repair," INFOR, vol.20, pp. 258-263, 1982.
11. H. W. Block, W. S. Borges, and T. H. Savits, "Age-dependent minimal repair," Journal of Applied Probability, vol.22, pp. 370-385, 1985.
12. H. W. Block, W. S. Borges, and T. H. Savits, "A general age replacement model with minimal repair," Naval Research Logistics Quarterly, vol.35, pp. 365-372, 1988.
13. P. J. Boland, "Periodic replacement when minimal repair costs vary with time," Naval Research Logistics Quarterly, vol.29, pp. 541-546, 1982.
14. P. J. Boland and F. Proschan, "Periodic replacement with increasing minimal repair costs at failure," Operations Research, vol.30, pp. 1183-1189, 1982.
15. P. J. Boland and F. Proschan, "Optimum replacement of a system subject to shocks," Operations Research, vol.31, pp. 697-704, 1983.
16. Y. H. Chien and S. H. Sheu, "Extended optimal age-replacement policy with minimal repair of a system subject to shocks," European Journal of Operational Research, vol.174, pp. 169-181, 2006.
17. K. J. Chung and S. D. Lin, "A simple procedure to compute the optimal repair cost under minimal repair," International Journal of Quality and Reliability Management, vol.13, pp. 77-81, 1996.
18. T. Dohi, N. Kaio, and O. Osaki, "A graphical method to repair-cost limit replacement policies with imperfect repair," Mathematical and Computer Modeling, vol.31, pp. 99-106, 2000.
19. T. Dohi, N. Kaio, and O. Osaki, "A new graphical method to estimate the repair-time limit with incomplete repair and discounting," Computers and Mathematics with Application, vol.46, pp. 999-1007, 2003.
20. R. W. Drinkwater and N. A. J. Hastings, "A economic replacement model," Operational Research Quarterly, vol.18, pp. 121-138, 1967.
21. P. K. Kapur, R. B. Garg, and N. L. Butani, "Some replacement policies with minimal repairs and repair cost limit," International Journal of Systems Science, vol.20, pp. 267-272, 1987.
22. M. T. Lai, "A periodical replacement model based on cumulative repair cost limit," Applied Stochastic Models in Business and Industry, vol.26, no.6, pp. 455-464, 2007.
23. H. Makabe and H. Morimura, "A new policy for preventive maintenance," Journal of Operations Research Society of Japan, vol.5, pp. 110-124, 1963.
24. H. Makabe and H. Morimura, "On some preventive maintenance policies," Journal of Operations Research Society of Japan, vol.6, pp. 17-47, 1963.
25. H. Makabe and H. Morimura, "Some considerations on preventive maintenance policies with numerical analysis," Journal of Operations Research Society of Japan, vol.7, pp. 154-171, 1965.
26. T. Nakagawa, "Generalized models for determining optimal number of minimal repairs before replacement," Journal of Operations Research Society of Japan, vol.24, pp. 325-337, 1981.
27. T. Nakagawa, "A modified block replacement with two variables," IEEE Trans. Reliability, vol.31, pp. 398-400, 1982.
28. T. Nakagawa, "Optimal number of failures before replacement time," IEEE Trans. Reliability, vol.R32, pp. 115-116, 1983.
29. T. Nakagawa and M. Kowada, "Analysis of a system with minimal repair and its application to replacement policy," European Journal of Operational Research, vol.12, pp. 176-182, 1983.
30. T. Nakagawa and S. Osaki, "The optimum repair limit replacement policies," Operational Research Quarterly, vol.25, pp. 311-317, 1974.
31. D. G. Nguyen and D. N. P. Murthy, "A note on the repair limit replacement policy," Journal of the Operational Research Society, vol.31, pp. 1103-1104, 1980.
32. D. G. Nguyen and D. N. P. Murthy, "A combined block and repair limit replacement policy," Journal of the Operational Research Society, vol.35, pp. 653-658, 1984.
33. K. S. Park, "Cost limit replacement under minimal repair," Microelectronics and Reliability, vol.23, pp. 347-349, 1979.
34. K. S. Park, "Optimal number of minimal repairs before replacement," IEEE Trans. Reliability, vol.R28, pp. 137-140, 1979.
35. K. S. Park, "Pseudo dynamic cost limits replacement model under minimal repair," Microelectronics and Reliability, vol.25, pp. 573-579, 1985.
36. K. S. Park, "Optimal number of minor failures before replacement," International Journal of Systems Science, vol.18, pp. 333-337, 1987.
37. P. S. Puri and H. Singh, "Optimum replacement of a system subject to shocks: A mathematical lemma," Operations Research, vol.34, pp. 782-789, 1986.
38. C. Qian, K. Ito, and T. Nakagawa, "Optimal preventive maintenance policies for a shock model with given damage level," Journal of Quality in Maintenance Engineering, vol.11, pp. 216-227, 2005.
39. C. Qian, S. Nakamura, and T. Nakagawa, "Replacement and minimal repair policies for a cumulative damage model with maintenance," Computers and Mathematics With Applications, vol.46, pp. 1111-1118, 2003.
40. S. M. Ross, Applied Probability Models With Optimization Applications. San Francisco, CA: Holden-Day, 1970.
41. T. H. Savits, "Some multivariate distributions period from a non-fatal shock model," Journal of Applied Probability, vol.25, pp. 383-390, 1988.
42. S. H. Sheu, "Optimal block replacement policy with multiple choice at failure," Journal of Applied Probability, vol.29, pp. 129-141, 1992.
43. S. H. Sheu, "A modified block replacement policy with two variables general and random minimal repair cost," Journal of Applied Probability, vol.33, pp. 557-572, 1996.
44. S. H. Sheu, "A generalized age and block replacement of a system subject to shocks," European Journal of Operational Research, vol.108, pp. 345-362, 1998.
45. S. H. Sheu and C. C. Chang, "An extended periodic imperfect preventive maintenance model with age-dependent failure type," IEEE Trans. Reliability, vol.58, pp. 397-405, 2009.
46. S. H. Sheu, W. S. Griffith, and T. Nakagawa, "Extended optimal replacement model with random minimal repair costs," European Journal of Operational Research, vol.85, pp. 636-649, 1995.