Bairamov, I. (2013). Reliability and mean residual life of complex systems with two dependent components per element. IEEE Transactions on Reliability, 62(1):276–285.
Barlow, R.E. and Proschan, F. (1975). Importance of system components and failure tree events. Stochastic Processes and their Applications, 3(2):153–173.
Birnbaum, Z.W. (1969). On the importance of different components in a multicomponent system. In Krishnaiah, P.R. (Ed.), Multivariate Analysis-II, 581–592, Academic Press.
Boland, P.J. and El-Neweihi, E. (1995). Measures of component importance in reliability. Computers & Operations Research, 22(4):455–463.
Eryilmaz, S. (2017). Reliability analysis of systems with components having two dependent subcomponents. Communications in Statistics-Simulation and Computation, 46(10):8005–8013.
Eryilmaz, S. (2019). (k_1, k_2, \cdots, k_m)-out-of-n system and its reliability. Journal of Computational and Applied Mathematics, 346:591–598.
Eryilmaz, S. and Bozbulut, A.R. (2014). An algorithmic approach for the dynamic reliability analysis of non-repairable multi-state weighted-k-out-of-n:G system. Reliability Engineering & System Safety, 131:61–65.
Eryilmaz, S. and Sarikaya, K. (2014). Modeling and analysis of weighted-k-out-of-n:G system consisting of two different types of components. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 228(3):265–271.
Estabraqi, J. and Meshkat, R.S. (2021). Importance of components in a consecutive-(k,k)-out-of-n:F system having two dependent subcomponents based on Birnbaum measure. Journal of Statistical Modelling: Theory and Applications, 2(1):59–65.
Hamdan, K., Asadi, M. and Tavangar, M. (2023). On reliability assessment of weighted k-out-of-n systems with multiple types of components. Quality Technology & Quantitative Management, 21(5):656–673.
Johnson, N.L., Kotz, S. and Balakrishnan, N. (1997). Discrete Multivariate Distributions. New York: John Wiley & Sons.
Kuo, W. and Zhu, X. (2012). Some recent advances on importance measures in reliability. IEEE Transactions on Reliability, 61(2):344–360.
Li, W. and Zuo, M.J. (2008). Reliability evaluation of multi-state weighted-k-out-of-n systems. Reliability Engineering & System Safety, 93(1):160–167.
Mahmoudi, E. and Meshkat, R.S. (2020). Reliability analysis of weighted-k-out-of-n:G system consisting of two different types of non-identical components each with its own positive integer-valued weight. Journal of Statistical Theory and Applications, 19(3):408–414.
Mahmoudi, E., Meshkat, R.S. and Torabi, H. (2021). Copula-based reliability for weighted-k-out-of-n systems having randomly chosen components of m different types. IEEE Transactions on Reliability, 71(2):630–639.
Meshkat, R.S. and Mahmoudi, E. (2017). Joint reliability and weighted importance measures of a k-out-of-n system with random weights for components. Journal of Computational and Applied Mathematics, 326:273–283.
Navarro, J., Samaniego, F.J. and Balakrishnan, N. (2011). Signature-based representations for the reliability of systems with heterogeneous components. Journal of Applied Probability, 48(3):856–867.
Rahmani, R.A., Izadi, M. and Khaledi, B.E. (2016). Importance of components in k-out-of-n system with components having random weights. Journal of Computational and Applied Mathematics, 296:1–9.
Samaniego, F.J. and Shaked, M. (2008). Systems with weighted components. Statistics & Probability Letters, 78(6):815–823.
Wu, J.S. and Chen, R.J. (1994). An algorithm for computing the reliability of a weighted-k-out-of-n system. IEEE Transactions on Reliability, 43(2):327–328.
Wu, S. and Coolen, F.P.A. (2013). A cost-based importance measure for system components: An extension of the Birnbaum importance. European Journal of Operational Research, 225(1):189–195.
Zhu, X. and Kuo, W. (2014). Importance measures in reliability and mathematical programming. Annals of Operations Research, 212:241–267.
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