References
- Arulmozhi, G. (2002). Exact equation and an algorithm for reliability evaluation of k-out-of-n: G system. Reliability Engineering & System Safety, 78(2), 87–91. https://doi.org/10.1016/S0951-8320(02)00046-7
- Arulmozhi, G. (2003). Direct method for reliability computation of k-out-of-n: G systems. Applied Mathematics and Computation, 143(2–3), 421–429. https://doi.org/10.1016/S0096-3003(02)00373-9
- Birnbaum, Z., Esary, J., & Saunders, S. (1961). Multi-component systems and structures and their reliability. Technometrics, 3(1), 55–77. https://doi.org/10.1080/00401706.1961.10489927
- Cao, J., & Cheng, K. (2006). Introduction to reliability mathematical. Higher Education Press.
- Chakravarthy, S. R., Krishnamoorthy, A., & Ushakumari, P. (2001). A k-out-of-n reliability system with an unreliable server and phase type repairs and services: The (N, T) policy. Journal of Applied Mathematics and Stochastic Analysis, 14(4), 361–380. https://doi.org/10.1155/S1048953301000326
- Chari, A. (1994). Optimal redundancy of k-out-of-n: G system with two kinds of CCFS. Microelectronics Reliability, 34(6), 1137–1139. https://doi.org/10.1016/0026-2714(94)90079-5
- Gopalan, M., & Kumar, U. D. (1996). On the transient behavior of an r-out-of-n: G system. Microelectronics Reliability, 36(3), 409–413. https://doi.org/10.1016/0026-2714(95)00089-5
- He, G., Wu, W. Q., & Zhang, Y. Y. (2018). Analysis of a multi-component system with failure dependence, N-policy and vacations. Operations Research Perspectives, 5(1), 191–198. https://doi.org/10.1016/j.orp.2018.07.005
- Kapur, P., Garg, R., Sehgal, V., & Jha, A. (1997). Numerical and transient solutions of k-out-of-n: G systems in discrete time with multiple repair facilities. Bulletin of Pure & Applied Sciences, 1(E1), 61–76.
- Khatab, A., Nahas, N., & Nourelfath, M. (2009). Availability of k-out-of-n:G systems with non-identical components subject to repair priorities. Reliability Engineering & System Safety, 94(2), 142–151. https://doi.org/10.1016/j.ress.2008.02.017
- Krishnamoorthy, A., & Rekha, A. (2001). k-out-of-n-system with repair: T-policy. Korean Journal of Computational & Applied Mathematics, 8(1), 199–212. https://doi.org/10.1007/BF03011632
- Krishnamoorthy, A., & Ushakumari, P. (2001). k-out-of-n:G system with repair: The D policy. Computers & Operations Research, 28(10), 973–981. https://doi.org/10.1016/S0305-0548(00)00019-8
- Krishnamoorthy, A., Ushakumari, P., & Lakshmy, B. (2002). k-out-of-n-system with repair: The N-policy. Asia-Pacific Journal of Operational Research, 19, 47–61.
- Kuo, W., & Zuo, M. (2003). Optimal reliability modeling: Principles and applications. John Wiley & Sons.
- Li, X., Zuo, M., & Yam, R. C. (2006). Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down. Reliability Engineering & System Safety, 91(3), 305–310. https://doi.org/10.1016/j.ress.2005.01.010
- Moghaddass, R., Zuo, M. J., & Qu, J. (2011). Reliability and availability analysis of a repairable k-out-of-n:G system with R repairmen subject to shut-off rules. IEEE Transactions on Reliability, 60(3), 658–666. https://doi.org/10.1109/TR.2011.2161703
- Moghaddass, R., Zuo, M. J., & Wang, W. (2011). Availability of a general k-out-of-n: G system with non-identical components considering shut-off rules using quasi-birth-death process. Reliability Engineering & System Safety, 96(4), 489–496. https://doi.org/10.1016/j.ress.2010.12.001
- Sáenz-de-Cabezón, E., & Wynn, H. P. (2011). Computational algebraic algorithms for the reliability of generalized k-out-of-n and related systems. Mathematics and Computers in Simulation, 82(1), 68–78. https://doi.org/10.1016/j.matcom.2010.07.028
- Ushakumari, P. V., & Krishnamoorthy, A. (2004). k-out-of-n system with repair: The max (N,T) policy. Performance Evaluation, 57(2), 221–234. https://doi.org/10.1016/j.peva.2003.10.006
- Wu, W. Q., & Tang, Y. H. (2015). Transient analysis of a k-out-of-n:G system with N-policy, repairmen's multiple vacations, and redundant dependency. Discrete Dynamics in Nature and Society, 2015(2015), 1–13.
- Wu, W. Q., Tang, Y. H., Yu, M. M., & Jiang, Y. (2014). Reliability analysis of a k-out-of-n:G repairable system with single vacation. Applied Mathematical Modelling, 38(24), 6075–6097. https://doi.org/10.1016/j.apm.2014.05.020
- Wu, W. Q., Tang, Y. H., Yu, M. M., & Jiang, Y. (2015a). Computation and profit analysis of a k-out-of-n:G repairable system under N-policy with multiple vacations and one replaceable repair facility. RAIRO-Operations Research, 49(4), 717–734. https://doi.org/10.1051/ro/2015001
- Wu, W. Q., Tang, Y. H., Yu, M. M., & Jiang, Y. (2015b). Computation and transient analysis of a k-out-of-n:G repairable system with general repair times. Operational Research: An International Journal, 15(2), 1–18. https://doi.org/10.1007/s12351-015-0181-1
- Wu, W. Q., Tang, Y. H., Yu, M. M., & Jiang, Y. (2016). Analysis of a repairable k-out-of-n:G with repairman's multiple delayed vacations. International Journal of Computer Mathematics, 93(12), 2141–2161. https://doi.org/10.1080/00207160.2015.1085975
- Wu, W. Q., Tang, Y. H., Yu, M. M., Jiang, Y., & Liu, H. (2018). Reliability analysis of a k-out-of-n:G system with general repair times and replaceable repair equipment. Quality Technology & Quantitative Management, 15(2), 274–300. https://doi.org/10.1080/16843703.2016.1226712
- Yuan, L. (2012). Reliability analysis for a k-out-of-n:G system with redundant dependency and repairmen having multiple vacations. Applied Mathematics and Computation, 218(24), 11959–11969. https://doi.org/10.1016/j.amc.2012.06.006
- Zhang, Y. Y., Wu, W. Q., & Tang, Y. H. (2017). Analysis of an k-out-of-n:G system with repairmans single vacation and shut off rule. Operations Research Perspectives, 4, 29–38. https://doi.org/10.1016/j.orp.2017.02.002