Statistical inference of reliability for a K-out-of-N: G system with switching failure under Poisson shocks

References

• Ali, A., Khaliq, S., Ali, Z., & Dey, S. (2018). Reliability estimation of s-out-of-k system for non-identical stress-strength components. Life Cycle Reliability and Safety Engineering, 7(1), 33–41. https://doi.org/10.1007/s41872-018-0039-7
   Google Scholar
• Amari, S. V., & Dill, G. (2009). A new method for reliability analysis of standby systems. In 2009 Annual Reliability and Maintainability Symposium (pp. 417–422).
   Google Scholar
• Baek, S., & Jeon, G. (2013). A k-out-of-n system reliability optimization problem with mixed redundancy. Journal of the Korean Institute of Industrial Engineers, 39(2), 90–98. https://doi.org/10.7232/JKIIE.2013.39.2.090
   Google Scholar
• Barlow, R. E., & Proschan, F. (1975). Statistical theory of reliability and life testing: Probability models. Holt, Rinehart and Winston.
   Google Scholar
• Boddu, P., & Xing, L. (2012). Redundancy allocation for k-out-of-n: G systems with mixed spare types. In 2012 Proceedings Annual Reliability and Maintainability Symposium (pp. 1–6).
   Google Scholar
• Chien, Y. H., Ke, J. C., & Lee, S. L. (2006). Asymptotic confidence limits for performance measures of a repairable system with imperfect service station. Communication in Statistics-Simulation and Computation, 35(3), 813–830. https://doi.org/10.1080/03610910600716563
   Web of Science ®Google Scholar
• El-Sherbeny, M. S., & Elshoubary, E. (2020). Stochastic analysis of reliability indices for a redundant system under Poisson shocks. International Journal of Computer Applications, 176(19), 21–30. https://doi.org/10.5120/ijca2020920143
   Google Scholar
• El-Sherbeny, M. S., & Hussien, Z. M. (2022). Reliability analysis of a two nonidentical unit parallel system with optional vacations under Poisson shocks. Mathematical Problems in Engineering, 2022, 2488182. https://doi.org/10.1155/2022/2488182
   Web of Science ®Google Scholar
• Ge, X., Sun, J., & Wu, Q. (2021). Reliability analysis for a cold standby system under stepwise Poisson shocks. Journal of Control and Decision, 8(1), 27–40. https://doi.org/10.1080/23307706.2019.1633961
   Google Scholar
• Hsu, Y. L., Ke, J. C., & Liu, T. H. (2011). Standby system with general repair, reboot delay, switching failure and unreliable repair facility—A statistical standpoint. Mathematics and Computers in Simulation, 81(11), 2400–2413. https://doi.org/10.1016/j.matcom.2011.03.003
   Web of Science ®Google Scholar
• Hsu, Y. L., Ke, J. C., Liu, T. H., & Wu, C. H. (2014). Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis. Computers and Industrial Engineering, 69, 21–28. https://doi.org/10.1016/j.cie.2013.12.003
   Web of Science ®Google Scholar
• Jana, N., & Bera, S. (2022). Interval estimation of multicomponent stress-strength reliability based on inverse Weibull distribution. Mathematics and Computers in Simulation, 191, 95–119. https://doi.org/10.1016/j.matcom.2021.07.026
   Web of Science ®Google Scholar
• Kang, J., Hu, L., Peng, R., Li, Y., & Tian, R. (2023). Availability and cost-benefit evaluation for a repairable retrial system with warm standbys and priority. Statistical Theory and Related Fields, 7(2), 164–175. https://doi.org/10.1080/24754269.2022.2152591
   Google Scholar
• Ke, J. B., Lee, W. C., & Ke, J. C. (2008). Reliability-based measure for a system with standbys subjected to switching failures. Engineering Computations, 25(7), 694–706. https://doi.org/10.1108/02644400810899979
   Web of Science ®Google Scholar
• Ke, J. C., Chang, C. J., & Lee, W. C. (2018). An availability-based system with general repair via Bayesian aspect. Mathematics and Computers in Simulation, 144, 247–265. https://doi.org/10.1016/j.matcom.2017.09.001
   Web of Science ®Google Scholar
• Ke, J. C., Liu, T. H., & Yang, D. Y. (2016). Machine repairing systems with standby switching failure. Computers and Industrial Engineering, 99, 223–228. https://doi.org/10.1016/j.cie.2016.07.016
   Web of Science ®Google Scholar
• Kızılaslan, F. (2018). Classical and Bayesian estimation of reliability in a multicomponent stress–strength model based on a general class of inverse exponentiated distributions. Statistical Papers, 59(3), 1161–1192. https://doi.org/10.1007/s00362-016-0810-7
   Web of Science ®Google Scholar
• Lewis, E. (1996). Introduction to reliability engineering (2nd ed.) John Wiley & Sons.
   Google Scholar
• Liu, T. H., Huang, Y. L., Lin, Y. B., & Chang, F. M. (2022). Cost-benefit analysis of a standby retrial system with an unreliable server and switching failure. Computation, 10(4), 48–64. https://doi.org/10.3390/computation10040048
   Web of Science ®Google Scholar
• Patawa, R., Pundir, P. S., Sigh, A. K., & Singh, A. (2022). Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair. International Journal of System Assurance Engineering Management, 13, 172–188.
   Web of Science ®Google Scholar
• Pham, H., & Pham, M. (1991). Optimal designs of (k, n-k+1)-out-of-n: F system (subject to 2 failure modes) optimal designs of (k, n-k+1)-out-of-n: F system (subject to 2 failure modes). IEEE Transactions on Reliability, 40(5), 559–562. https://doi.org/10.1109/24.106777
   Web of Science ®Google Scholar
• Rasekhi, M., Saber, M. M., & Yousof, H. M. (2020). Bayesian and classical inference of reliability in multicomponent stress-strength under the generalized logistic model. Communications in Statistics-Theory and Methods, 50(21), 5114–5125. https://doi.org/10.1080/03610926.2020.1726958
   Web of Science ®Google Scholar
• Shanthikumar, J. G., & Sumita, U. (1983). General shock models associated with correlated renewal sequences. Journal of Applied Probability, 20(3), 600–614. https://doi.org/10.2307/3213896
   Web of Science ®Google Scholar
• Shanthikumar, J. G., & Sumita, U. (1984). Distribution properties of the system failure time in a general shock model. Advances in Applied Probability, 16(2), 363–377. https://doi.org/10.2307/1427074
   Web of Science ®Google Scholar
• She, J., & Pecht, M. G. (1992). Reliability of a k-out-of-n warm-standby system. IEEE Transactions on Reliability, 41(1), 72–75. https://doi.org/10.1109/24.126674
   Web of Science ®Google Scholar
• Shekhar, C., Kumar, N., Gupta, A., Kumar, A., & Varshney, S. (2020). Warm-spare provisioning computing network with switching failure, common cause failure, vacation interruption, and synchronized reneging. Reliability Engineering and System Safety, 199, 106910. https://doi.org/10.1016/j.ress.2020.106910
   Web of Science ®Google Scholar
• Wang, K. H., & Chen, Y. J. (2009). Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures. Applied Mathematics and Computation, 215(1), 384–394. https://doi.org/10.1016/j.amc.2009.05.023
   Web of Science ®Google Scholar
• Wang, L., Wu, K., Tripathi, Y. M., & Lodhi, C. (2020). Reliability analysis of multicomponent stress–strength reliability from a bathtub-shaped distribution. Journal of Applied Statistics, 49(1), 122–142. https://doi.org/10.1080/02664763.2020.1803808
   Web of Science ®Google Scholar
• Wu, Q. (2012). Reliability analysis of a cold standby system attacked by shocks. Applied Mathematics and Computation, 218(23), 11654–11673. https://doi.org/10.1016/j.amc.2012.05.051
   Web of Science ®Google Scholar
• Wu, Q., & Wu, S. (2011). Reliability analysis of two-unit cold standby repairable systems under Poisson shocks. Applied Mathematics and Computation, 218(1), 171–182. https://doi.org/10.1016/j.amc.2011.05.089
   Web of Science ®Google Scholar
• Wu, Q., Zhang, J., & Tang, J. (2015). Reliability evaluation for a class of multi-unit cold standby systems under Poisson shocks. Communications in Statistics-Theory and Methods, 44(15), 3278–3288. https://doi.org/10.1080/03610926.2013.851232
   Web of Science ®Google Scholar
• Yang, D. Y., & Wu, C. H. (2021). Evaluation of the availability and reliability of a standby repairable system incorporating imperfect switchovers and working breakdowns. Reliability Engineering and System Safety, 207, 107366. https://doi.org/10.1016/j.ress.2020.107366
   Web of Science ®Google Scholar