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OPTIMAL MAINTENANCE OF SEMI-MARKOV MISSIONS

Published online by Cambridge University Press:  15 September 2014

Bora Çekyay  and
Süleyman Özekici
Bora Çekyay
Affiliation:
Department of Industrial Engineering, Doğuş University, İstanbul, Turkey E-mail: bcekyay@dogus.edu.tr
Süleyman Özekici
Affiliation:
Department of Industrial Engineering, Koç University, İstanbul, Turkey E-mail: sozekici@ku.edu.tr
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Abstract

We analyze optimal replacement and repair problems of semi-Markov missions that are composed of phases with random sequence and durations. The mission process is the minimal semi-Markov process associated with a Markov renewal process. The system is a complex one consisting of non-identical components whose failure properties depend on the mission process. We prove some monotonicity properties for the optimal replacement policy and analyze the optimal repair problem under different cost structures.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 29 , Issue 1 , January 2015 , pp. 77 - 98
Copyright
Copyright © Cambridge University Press 2014 

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References

1.Alam, M. & Al-Saggaf, U.M. (1986). Quantitative reliability evaluation of repairable phased-mission systems using Markov approach. IEEE Transactions on Reliability 35: 498–503.Google Scholar
2.Bondavalli, A. & Filippini, R. (2004). Modeling and analysis of a scheduled maintenance system: a DSPN approach. Computer Journal 47: 634–650.Google Scholar
3.Burdick, G.R., Fussell, J.B., Rasmuson, D.M. & Wilson, J.R. (1977). Phased mission analysis: a review of new developments and an application. IEEE Transactions on Reliability 26: 43–49.Google Scholar
4.Cho, D.I. & Parlar, M. (1991). A survey of maintenance models for multi-unit systems. European Journal of Operational Research 51: 1–23.Google Scholar
5.Çılar, E. (1969). Markov renewal theory. Advances in Applied Probability 1: 123–187.Google Scholar
6.Çılar, E. & Özekici, S. (1987). Reliability of complex devices in random environments. Probability in the Engineering and Informational Sciences 1: 97–115.Google Scholar
7.Dekker, R., Wildeman, R.E. & Van der Duyn Schouten, F.A. (1997). A review of multi-component maintenance models with economic dependence. Mathematical Methods of Operations Research 45: 411–435.Google Scholar
8.Esary, J.D. & Ziehms, H. (1975). Reliability analysis of phased missions. In Proceedings of the Conference on Reliability and Fault Tree Analysis, pp. 213–236. SIAM.Google Scholar
9.Kim, K. & Park, K.S. (1994). Phased-mission system reliability under Markov environment. IEEE Transactions on Reliability 43: 301–309.Google Scholar
10.Mura, I. & Bondavalli, A. (1999). Hierarchical modelling and evaluation of phased-mission systems. IEEE Transactions on Reliability 48: 360–368.Google Scholar
11.Mura, I. & Bondavalli, A. (2001). Markov regenerative stochastic Petri nets to model and evaluate phased mission systems dependability. IEEE Transactions on Computers 50: 1337–1351.Google Scholar
12.Nicolai, R.P. & Dekker, R. (2007). Optimal maintenance of multi-component systems: a review. Complex system maintenance handbook: blending theory with practice (forthcoming), Berlin: Springer–Verlag.Google Scholar
13.Özekici, S. (1988). Optimal periodic replacement of multicomponent reliability systems. Operations Research 36: 542–552.Google Scholar
14.Özekici, S. (1988). Optimal maintenance policies in random environments. European Journal of Operational Research 82: 283–294.Google Scholar
15.Veatch, M. (1986). Reliability of periodic, coherent, binary systems. IEEE Transactions on Reliability 35: 504–507.Google Scholar
16.Wang, H. (2002). A survey of maintenance policies of deteriorating systems. European Journal of Operational Research 139: 469–489.Google Scholar