Mean time to failure and availability of semi-Markov missions with maximal repair

European Journal of Operational Research

Volumn 207, Issue 3, 2010, Pages 1442-1454

  Cekyay B ^a   Ozekici S ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

Availability; Markov renewal theory; Mean time to failure; Reliability; Semi Markov missions

Indexed keywords

EXPLICIT FORMULA; FAILURE PROPERTIES; MARKOV RENEWAL PROCESS; MARKOV RENEWAL THEORY; MARKOVIAN; MEAN TIME TO FAILURE; RANDOM SEQUENCE; REPAIR POLICY; SEMI-MARKOV; STOCHASTIC STRUCTURE; SYSTEM AVAILABILITY; WHOLE SYSTEMS;

RANDOM PROCESSES;

RELIABILITY THEORY;

EID: 77957696846     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2010.07.019     Document Type: Article

References (31)

1. M. Alam, and U. Al-Saggaf Quantitative reliability evaluation of repairable phased-mission systems using Markov approach IEEE Transactions on Reliability 35 1986 498 503
2. I. Altinel, O. Feyziog̃lu, and S. Özekici Component testing of a series system in a random mission Reliability Engineering and System Safety 78 2002 33 43
3. M. Asadi, and I. Bayramoglu The mean residual life function of a k-out-of-n structure at the system level IEEE Transactions on Reliability 55 2006 314 318
4. A. Bondavalli, and R. Filippini Modeling and analysis of a scheduled maintenance system: A DSPN approach Computer Journal 47 2004 634 650
5. A. Bondavalli, S. Chiaradonna, F.D. Giandomenico, and I. Mura Dependability modeling and evaluation of multiple-phased systems using DEEM IEEE Transactions on Reliability 53 2004 509 522
6. G. Burdick, J. Fussell, D. Rasmuson, and J. Wilson Phased mission analysis: A review of new developments and an application IEEE Transactions on Reliability 26 1977 43 49
7. Çekyay, B., Özekici, S., 2008. Reliability of semi-Markov missions. Tech. rep., Ko University, Department of Industrial Engineering, Istanbul, Turkey.
8. E. Çinlar Markov renewal theory Advances in Applied Probability 1 1969 123 187
9. E. Çinlar Introduction to Stochastic Processes 1975 Prentice-Hall Englewood Cliffs, NJ
10. E. Çinlar, and S. Özekici Reliability of complex devices in random environments Probability in the Engineering and Informational Sciences 1 1987 97 115
11. R. Drenick The failure law of complex equipment Journal of the Society for Industrial and Applied Mathematics 8 1960 680 690
12. J.B. Dugan Automated analysis of phased-mission reliability IEEE Transactions on Reliability 40 1991 45 52
13. J. Esary, and H. Ziehms Reliability analysis of phased missions Proceedings of the Conference on Reliability and Fault Tree Analysis 1975 SIAM 213 236
14. O. Feyziog̃lu, I. Altinel, and S. Özekici Optimum component test plans for phased-mission systems European Journal of Operational Research 185 2008 255 265
15. J.P. Kharoufeh, D. Finkelstein, and D. Mixon Availability of periodically inspected systems with Markovian wear and shocks Journal of Applied Probability 43 2006 303 317
16. K. Kim, and K. Park Phased-mission system reliability under Markov environment IEEE Transactions on Reliability 43 1994 301 309
17. A. Kiureghian, O. Ditlevsen, and J. Song Availability, reliability and downtime of systems with repairable components Reliability Engineering and System Safety 92 2007 231 242
18. I. Mura, and A. Bondavalli Hierarchical modelling and evaluation of phased-mission systems IEEE Transactions on Reliability 48 1999 360 368
19. I. Mura, and A. Bondavalli Markov regenerative stochastic Petri nets to model and evaluate phased mission systems dependability IEEE Transactions on Computers 50 2001 1337 1351
20. Z.H. Tang, and J.B. Dugan BDD-based reliability analysis of phased-mission systems with multimode failures IEEE Transactions on Reliability 55 2006 350 360
21. Tang, Z.H., Xu, H., Dugan, J.B., 2005. Reliability analysis of phased mission systems with common cause failures. In: Proceedings of Annual Reliability and Maintainability Symposium, pp. 313-318.
22. J. Vaurio Fault tree analysis of phased-mission systems with repairable and non-repairable components Reliability Engineering and System Safety 74 2001 169 180
23. M. Veatch Reliability of periodic, coherent, binary systems IEEE Transactions on Reliability 35 1986 504 507
24. D. Wang, and K.S. Trivedi Reliability analysis of phased-mission system with independent component repairs IEEE Transactions on Reliability 56 2007 540 551
25. K. Wang, W. Dong, and J. Ke Comparison of reliability and the availability between four systems with warm standby components and standby switching failures Applied Mathematics and Computation 183 2006 1310 1322
26. L. Xing Reliability evaluation of phased-mission systems with imperfect fault coverage and common-cause failures IEEE Transactions on Reliability 56 2007 58 68
27. L.D. Xing, and J.B. Dugan Analysis of general phased-mission system reliability, performance and sensitivity IEEE Transactions on Reliability 51 2002 199 211
28. Xing, L.D., Dugan, J.B., 2002b. Generalized imperfect coverage phased-mission analysis. In: Proceedings of Annual Reliability and Maintainability Symposium, pp. 112-119.
29. L.D. Xing, and J.B. Dugan A separable ternary decision diagram based analysis of generalized phased-mission reliability IEEE Transactions on Reliability 53 2004 174 184
30. X.Y. Zang, H.R. Sun, and K.S. Trivedi A BDD-based algorithm for reliability analysis of phased-mission systems IEEE Transactions on Reliability 48 1999 50 60
31. Y. Zhang, and G. Wang A deteriorating cold standby repairable system with priority in use Eurpean Journal of Operational Research 183 2007 278 295