A shock model with two-type failures and optimal replacement policy

International Journal of Systems Science

Volumn 36, Issue 4, 2005, Pages 209-214

  Wang, G J ^a   Zhang, Y L ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PROBLEM SOLVING; RANDOM PROCESSES; RELIABILITY; STOCHASTIC CONTROL SYSTEMS;

OPTIMAL REPLACEMENT POLICY; REPAIRABLE SYSTEMS; SHOCK MODEL;

FAILURE ANALYSIS;

EID: 27944477276     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720500032606     Document Type: Article

References (23)

1. M. Abdel-Hameed, 'Optimum replacement of systems subject to shocks', Journal of Applied Probability, 1986, 23, pp. 107-114.
2. R.E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, New York: Holt, Rinehart and Winston, Inc., 1975.
3. J.D. Esary, A stochastic theory of accident survival and fatality, PhD Dissertation, University of California, Berkeley.
4. J.D. Esary, A.W. Marshall and F. Proschan, 'Shock models and wear processes', Annals of Probability, 1973, 1, pp. 627-650.
5. R.M. Feldman, 'Optimal replacement with semi-Markov shock models'. Journal of Applied Probability, 1976, 13, pp. 108-117.
6. M.S. Finkelstein, 'A scale model of general repair', Microelectronic Reliability, 1993, 33, pp. 41-44.
7. G. Gottlieb, 'Optimal replacement for shock models with general failure rate', Operations Research, 1982, 30, pp. 82-92.
8. Y. Lam, 'Geometric processes and replacement problem', Acta Mathematicae Applicatae Sinica, 1988a, 4, pp. 366-377.
9. Y. Lam, 'A note on the optimal replacement problem'. Advances in Applied Probability, 1988b, 20, pp. 479-782.
10. Y. Lam and Y.L. Zhang, 'Analysis of a two-component series system with a geometric process model', Naval Research Logistics, 1996a, 43, pp. 491-502.
11. Y. Lam and Y.L. Zhang, ' Analysis of a parallel system with two different units'. Acta Math. Appl. Sin., 1996b, 12, pp. 408-417.
12. Z.H. Li, B.S. Huang and G.J. Wang, 'Life distribution and statistical property of shock model with a shock source', Journal of Lanzhou University, 1999, 35, pp. 1-8.
13. S.M. Ross, Applied Probability Models with Optimization Applications, San Francisco: Holden-Day, 1970.
14. S.M. Ross, 'Generalized poisson shock models', Annals of Probability, 1981, 9, pp. 896-898.
15. S.M. Ross, Stochastic Processes, 2nd edition. New York: Wiley, 1996.
16. J.G. Shanthikumar and U. Sumita, 'General shock model associated with correlated renewal sequences', Journal of Applied Probability, 1983, 20, pp. 600-614.
17. W. Stadje and D. Zuckerman, Optimal strategies for some repair replacement models', Advances in Applied Probability, 1990, 22, pp. 641-656.
18. W. Stadje and D. Zuckerman, Optimal repair policies with general degree of repair in two maintenance models'. Operations Research Letters, 1992, 11, pp. 77-80.
19. G.J. Wang and Y.L. Zhang, 'δ-shock model and its optimal replacement policy', Journal of Southeast University, 2001, 31, pp. 121-124.
20. Y.L. Zhang, 'A bivariate optimal replacement policy for a repairable system', Journal of Applied Probability, 1994, 31, pp. 1123-1127.
21. Y.L. Zhang, 'An optimal geometric process model for a cold standby repairable system', Reliability Engineering and Systems Safety, 1999, 63, pp. 107-110.
22. Y.L. Zhang, 'A geometric process repair model with good-as-new preventive repair', IEEE Transactions on Reliability, 2002, R-51, pp. 223-228.
23. D. Zuckerman, 'Optimal stopping in a semi-Markov shock model', Journal of Applied Probability, 1978, 15, pp. 629-634.