Abstract
This paper proposes a damage model with replacement last. First, the preventive replacement policies with a damage process is given: the unit is replaced at a damage level Z or a planned time T, whichever occurs last. Second, optimal Z for a given T is derived, and compare such an optimal policy with those of replacement first and standard replacement. It shows that the ratio of replacement costs plays an important role in determining which policy is better. Third, a numerical example is given in an exponential case.
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References
Osaki, S.: Stochastic Models in Reliability and Maintenance. Springer, Berlin (2002)
Nakagwa, T.: Maintenance Theory of Reliability. Springer, London (2005)
Nakagwa, T.: Shock and Damage Models in Reliability Theory. Springer, London (2007)
Wang, H., Pham, H.: Reliability and Optimal Miantenance. Springer, London (2007)
Chen, M., Mizutani, S., Nakagawa, T.: Random and age replacement policies. International Journal of Reliability, Quality and Safety Engineering 17, 27–39 (2010)
Chen, M., Nakamura, S., Nakagawa, T.: Replacement and preventive maintenace models with random working times. IEICE Trans. Fundamentals E93-A, 500–507 (2010)
Zhao, X.F., Nakagawa, T.: Optimization problems of replacement first or last in reliability theory. Submitted to European Journal of Operational Research (2011)
Qian, C.H., Nakamura, S., Nakagawa, T.: Cumulative damage model with two kinds of shocks and its application to the backup policy. Journal of the Operations Research Society of Japan 42, 501–511 (1999)
Zhao, X.F., Nakamura, S., Nakagawa, T.: Two generational garbage collection models with major collection time. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences E94-A, 1558–1566 (2011)
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Zhao, X., Nakayama, K., Nakamura, S. (2011). Cumulative Damage Models with Replacement Last. In: Kim, Th., et al. Software Engineering, Business Continuity, and Education. ASEA 2011. Communications in Computer and Information Science, vol 257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27207-3_36
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DOI: https://doi.org/10.1007/978-3-642-27207-3_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27206-6
Online ISBN: 978-3-642-27207-3
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