Reliability and maintenance modeling for dependent competing failure processes with shifting failure thresholds

IEEE Transactions on Reliability

Volumn 61, Issue 4, 2012, Pages 932-948

  Jiang, Lei ^a   Feng, Qianmei ^a   Coit, David W ^b  

^a UNIVERSITY OF HOUSTON   (United States)

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

Author keywords

Age replacement policy; block replacement policy; degradation; extreme shock model; m shock model; multiple s dependent competing failure processes; shock model

Indexed keywords

DEGRADATION; MEMS; PREVENTIVE MAINTENANCE;

AGE REPLACEMENT POLICY; BLOCK REPLACEMENT; COMPETING FAILURE; COMPLEX DEVICES; CRITICAL ISSUES; CRITICAL VALUE; DEPENDENT FAILURE; FAILURE PROCESS; FAILURE THRESHOLDS; MAINTENANCE MODELS; MICRO ELECTRO MECHANICAL SYSTEM; PREVENTIVE MAINTENANCE POLICIES; PROCESS IMPACT; RANDOM SHOCKS; RELIABILITY MODEL; RELIABILITY PROBLEMS; SHOCK LOAD; SHOCK MODELS; SOFT FAILURE; TIME LAG;

RELIABILITY;

EID: 84870544761     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2012.2221016     Document Type: Article

References (35)

1. Z. L. Wang, L. Du, and H. Z. Huang, "Reliability modeling for dependent competitive failure processes, " in Annual Reliability and Maintainability Symposium, 2008 Proceedings, pp. 279-283.
2. H. Peng, Q. M. Feng, and D. W. Coit, "Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes, " IIE Transactions, vol. 43, pp. 12-22, 2011.
3. T. Nakagawa, Shock and Damage Models in Reliability Theory. London, UK: Springer, 2007.
4. Y. Liu, H. Z. Huang, and H. Pham, "Reliability evaluation of systems with degradation and random shocks, " in Annual Reliability and Maintainability Symposium, 2008 Proceedings, pp. 329-334.
5. D. M. Tanner, J. A. Walraven, K. Helgesen, L. W. Irwin, F. Brown, N. F. Smith, and N. Masters, "MEMS reliability in shock environments, " in Reliability Physics Symposium, Proceedings, San Jose, CA, 2000.
6. C. J. Lu and W. Q.Meeker, "Using degradation measures to estimate a time-to-failure distribution, " Technometrics, vol. 35, pp. 161-174, 1993. (Pubitemid 23705731)
7. J. P. Kharoufeh and S. M. Cox, "Stochastic models for degradationbased reliability, " IIE Transactions, vol. 37, pp. 533-542, 2005.
8. C. Park and W. J. Padgett, "Stochastic degradation models with several accelerating variables, " IEEE Trans. Reliability, vol. 55, pp. 379-390, 2006. (Pubitemid 43905049)
9. G. A. Klutke and Y. J. Yang, "The availability of inspected systems subject to shocks and graceful degradation, " IEEE Trans. Reliability, vol. 51, pp. 371-374, 2002.
10. W. J. Li and H. Pham, "Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks, " IEEE Trans. Reliability, vol. 54, pp. 297-303, 2005. (Pubitemid 41005031)
11. Y. Liu, H. Z. Huang, and H. Pham, "Reliability evaluation of systems with degradation and random shocks, " in Annual Reliability and Maintainability Symposium, 2008 Proceedings, pp. 329-334.
12. Y. Y. Tang and Y. Lam, "A delta-shock maintenance model for a deteriorating system, " European Journal of Operational Research, vol. 168, pp. 541-556, 2006. (Pubitemid 41329863)
13. H. M. Bai, Z. H. Li, and X. B. Kong, "Generalized shock models based on a cluster point process, " IEEE Trans. Reliability, vol. 55, pp. 542-550, 2006.
14. Z. H. Li and P. Zhao, "Reliability analysis on the delta-shock model of complex systems, " IEEE Trans. Reliability, vol. 56, pp. 340-348, 2007. (Pubitemid 46909703)
15. F. Mallor and E. Omey, "Shocks, runs and random sums, " Journal of Applied Probability, vol. 38, pp. 438-448, 2001.
16. B. R. Ellingwood and Y. Mori, "Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear-powerplants, " Nuclear Engineering and Design, vol. 142, pp. 155-166, 1993.
17. W. Huang and R. G. Askin, "A generalized SSI reliability model considering stochastic loading and strength aging degradation, " IEEE Trans. Reliability, vol. 53, pp. 77-82, 2004.
18. J. M. van Noortwijk, J. A. M. van der Weide, M. J. Kallen, and M. D. Pandey, "Gamma processes and peaks-over-threshold distributions for time-dependent reliability, " Reliability Engineering & System Safety, vol. 92, pp. 1651-1658, 2007. (Pubitemid 47088939)
19. H. Z. Huang and Z. W. An, "A discrete stress-strength interference model with stress dependent strength, " IEEE Trans. Reliability, vol. 58, pp. 118-122, 2009.
20. H. Z. Wang, "A survey of maintenance policies of deteriorating systems, " European Journal of Operational Research, vol. 139, pp. 469-489, 2002.
21. J. M. van Noortwijk, "A survey of the application of gamma processes in maintenance, " Reliability Engineering & System Safety, vol. 94, pp. 2-21, 2009.
22. L. R. Alley and L. E. S. Lin, "An extension of the block preventive maintenance policy for stochastically failing items, " Microelectronics and Reliability, vol. 22, pp. 1027-1032, 1982.
23. R. Barlow and L. Hunter, "Optimumpreventivemaintenance policies, " Operations Research, vol. 8, pp. 90-100, 1960.
24. M. Berg and B. Epstein, "Modified block replacement policy, " Naval Research Logistics, vol. 23, pp. 15-24, 1976.
25. H. J. Li, "Stochastic comparison of age-dependent block replacement policies, " Methodology and Computing in Applied Probability, vol. 7, pp. 473-488, 2005.
26. L. Jiang, Q. Feng, and D. W. Coit, "Reliability analysis for dependent failure processes and dependent failure thresholds, " in Proceedings of International Conference on Quality, Reliability, Risk, Maintenance and Safety Engineering, Xi'an, China, June 17-19, 2011.
27. S. M. Ross, Stochastic Processes, second edition ed. New York, NY: Wiley, 1996.
28. B. Richard and P. Frank, Mathematical Theory of Reliability. New York: Wiley, 1965.
29. M. Berg and B. Epstein, "Comparison of age, block, and failure replacement policies, " IEEE Trans. Reliability, vol. 27, pp. 25-30, 1978. (Pubitemid 8622545)
30. D. J. Bartholomew, "Approximate solution of integral-equation of renewal theory, " Journal of the Royal Statistical Society Series B-Statistical Methodology, vol. 25, pp. 432-441, 1963.
31. L. Ran, L. R. Cui, and M. Xie, "Some analytical and numerical bounds on the renewal function, " Communications in Statistics-Theory and Methods, vol. 35, pp. 1815-1827, 2006. (Pubitemid 44664046)
32. J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Englewood Cliffs, N.J.: Prentice-Hall, 1983.
33. G. Igor, S. Nash, and A. Sofer, Linear and Nonlinear Optimization, second edition ed. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2009.
34. H. Peng, Q. M. Feng, and D. W. Coit, "Simultaneous quality and reliability optimization for microengines subject to degradation, " IEEE Trans. Reliability, vol. 58, pp. 98-105, 2009.
35. D. M. Tanner and M. T. Dugger, "Wear mechanisms in a reliability methodology, " in Reliability, Testing, and Characterization of MEMS/MOEMS, 2003, vol. 4980, pp. 22-40.