Time-dependent reliability analysis for repairable consecutive-k-out-of-n:F system

References

• Bollinger, R. C., & Salvia, A. A. (1982). Consecutive-k-out-of-n: F networks. IEEE Transactions on Reliability, R-31(1), 53–56. https://doi.org/https://doi.org/10.1109/TR.1982.5221227
   Web of Science ®Google Scholar
• Chang, G. J., Cui, L. R., & Hwang, F. (2000). Reliabilities of consecutive-k-out-of-n:F systems. Kluwer.
   Google Scholar
• Cheng, K., & Zhang, Y. L. (2001). Analysis for a consecutive-k-out-of-n: F repairable system with priority in repair. International Journal of Systems Science, 32(5), 591–598. https://doi.org/https://doi.org/10.1080/00207720119474
   Web of Science ®Google Scholar
• Chiang, D. T., & Niu, S. C. (1981). Reliability of consecutive-k-out-of-n:F system. IEEE Transactions on Reliability, R-30(1), 87–89. https://doi.org/https://doi.org/10.1109/TR.1981.5220981
   Web of Science ®Google Scholar
• Derman, C., Lieberman, G. J., & Ross, S. M. (1982). On the consecutive-k-out-of-n:F system. IEEE Transactions on Reliability, R-31(1), 57–63. https://doi.org/https://doi.org/10.1109/TR.1982.5221229
   Web of Science ®Google Scholar
• Eryilmaz, S. (2010). Review of recent advances in reliability of consecutive k-out-of-n and related systems. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 224(3), 225–237. https://doi.org/https://doi.org/10.1243/1748006XJRR332
   Google Scholar
• Eryilmaz, S. (2014). Computing reliability indices of repairable systems via signature. Journal of Computational and Applied Mathematics, 260(2014), 229–235. https://doi.org/https://doi.org/10.1016/j.cam.2013.09.023
   Web of Science ®Google Scholar
• Gökdere, G., Gürcan, M., & Kılıç, M. B. (2016). A new method for computing the reliability of consecutive k-out-of-n:F systems. Open Physics, 14(1), 166–170. https://doi.org/https://doi.org/10.1515/phys-2016-0015
   Web of Science ®Google Scholar
• Guan, J., & Wu, Y. (2006). Repairable consecutive-k-out-of-n:F system with fuzzy states. Fuzzy Sets and Systems, 157(1), 121–142. https://doi.org/https://doi.org/10.1016/j.fss.2005.05.025
   Web of Science ®Google Scholar
• Hongda, G., Lirong, C., & He, Y. (2019). Availability analysis of k-out-of-n:F repairable balanced systems with m sectors. Reliability Engineering and System Safety, 191(2019), 1–10. https://doi.org/https://doi.org/10.1016/j.ress.2019.106572
   Web of Science ®Google Scholar
• Kontoleon, J. M. (1980). Reliability determination of a r-successive-out-of-n:F system. IEEE Transactions on Reliability, 29(5), 437. https://doi.org/https://doi.org/10.1109/TR.1980.5220921
   Web of Science ®Google Scholar
• Kuo, W., & Zuo, M. (2003). Optimal reliability modeling: principles and applications. Wiley.
   Google Scholar
• Lam, Y., & Ng, H. K. T. (2001). A general model for consecutive-k-out-of-n: F repairable system with exponential distribution and (k−1)-step Markov dependence. European Journal of Operational Research, 129(3), 663–682. https://doi.org/https://doi.org/10.1016/S0377-2217(99)00474-9
   Web of Science ®Google Scholar
• Lam, Y., & Zhang, Y. L. (1999). Analysis of repairable consecutive-2-out-of-n: F systems with Markov dependence. International Journal of Systems Science, 30(8), 799–809. https://doi.org/https://doi.org/10.1080/002077299291921
   Web of Science ®Google Scholar
• Lam, Y., & Zhang, Y. L. (2000). Repairable consecutive-k-out-of-n:F system with Markov dependence. Naval Research Logistics (NRL), 47(1), 18–39. https://doi.org/https://doi.org/10.1002/(ISSN)1520-6750
   Web of Science ®Google Scholar
• R Core Team (2019). R: A language and environment for statistical computing. R Foundation for Statistical Computing.
   Google Scholar
• Wang, G., Hu, L., Zhang, T., & Wang, Y. (2021). Reliability modeling for a repairable (k1,k2)-out-of-n: G system with phase-type vacation time. Applied Mathematical Modelling, 91(2), 311–321. https://doi.org/https://doi.org/10.1016/j.apm.2020.08.071
   Google Scholar
• Yam, R. C. M., Zuo, M. J., & Zhang, Y. L. (2003). A method for evaluation of reliability indices for repairable circular consecutive-k-out-of-n:F systems. Reliability Engineering and System Safety, 79(1), 1–9. https://doi.org/https://doi.org/10.1016/S0951-8320(02)00204-1
   Web of Science ®Google Scholar
• Yuan, L., & Cui, Z. D. (2013). Reliability analysis for the consecutive-k-out-of-n: F system with repairmen taking multiple vacations. Applied Mathematical Modelling, 37(7), 4685–4697. https://doi.org/https://doi.org/10.1016/j.apm.2012.09.008
   Web of Science ®Google Scholar
• Zhang, Y. L., & Lam, Y. (1998). Reliability of consecutive-k-out-of-n: G repairable system. International Journal of Systems Science, 29(12), 1375–1379. https://doi.org/https://doi.org/10.1080/00207729808929623
   Web of Science ®Google Scholar
• Zhang, Y. L., & Wang, T. P. (1996). Repairable consecutive-2-out-of-n:F system. Microelectronics Reliability, 36(5), 605–608. https://doi.org/https://doi.org/10.1016/0026-2714(95)00183-2
   Web of Science ®Google Scholar
• Zhang, Y. L., Wang, T. P., & Jia, J. S. (1998). Reliability analysis of consecutive-(n−1)-out-of-n:G repairable system. Chinese Journal of Automation, 10(1998), 181–186.
   Google Scholar
• Zhang, Y. L., Zuo, M. J., & Yam, R. C. M. (2000). Reliability analysis for a circular consecutive-2-out-of-n:F repairable system with priority in repair. Reliability Engineering and System Safety, 68(2), 113–120. https://doi.org/https://doi.org/10.1016/S0951-8320(99)00076-9
   Web of Science ®Google Scholar
• Zuo, M. J., & Kuo, W. (1990). Design and performance analysis of consecutive-k-out-of-n structure. Naval Research Logistics, 37(2), 203–230. https://doi.org/https://doi.org/10.1002/(ISSN)1520-6750
   Web of Science ®Google Scholar