Time-dependent stress–strength reliability models based on phase type distribution
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DOI: 10.1007/s00180-020-00991-3
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- Young K. Yoo, 2011. "Operating characteristics of a failure counting group replacement policy," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 499-506.
- Alessandro Barbiero, 2012. "Interval estimators for reliability: the bivariate normal case," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(3), pages 501-512, June.
- Yonit Barron & Uri Yechiali, 2017. "Generalized control-limit preventive repair policies for deteriorating cold and warm standby Markovian systems," IISE Transactions, Taylor & Francis Journals, vol. 49(11), pages 1031-1049, November.
- Barron, Yonit & Frostig, Esther & Levikson, Benny, 2006. "Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 202-225, February.
- Reza Ahmadi, 2014. "Optimal maintenance scheduling for a complex manufacturing system subject to deterioration," Annals of Operations Research, Springer, vol. 217(1), pages 1-29, June.
- Yonit Barron, 2015. "Group replacement policies for a repairable cold standby system with fixed lead times," IISE Transactions, Taylor & Francis Journals, vol. 47(10), pages 1139-1151, October.
- Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.
- van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
- Shirin Shoaee & Esmaile Khorram, 2015. "Stress-Strength Reliability of a Two-Parameter Bathtub-shaped Lifetime Distribution Based on Progressively Censored Samples," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(24), pages 5306-5328, December.
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Cited by:
- Drisya M. & Jose Joby K., 2020. "Time-Dependent Stress-Strength Reliability Models with Phase-Type Cycle Times," Stochastics and Quality Control, De Gruyter, vol. 35(2), pages 97-112, December.
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Keywords
Random cycle times; Exponential distribution; Gamma distribution; Weibull distribution; EM algorithm;All these keywords.
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