References
- Barlow, R.E., Heidtmann, K.D. (1984). Computing k-out-of-n system reliability. IEEE Trans. Reliab. R-33(4):322–323.
- Barlow, S.E., Wu, A.S. (1978). Coherent systems with multi-state components. Math. Operat. Res. 3(11):275–281.
- Barron, Y., Frostig, E., Levikson, B. (2006). Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: an algorithmic approach. Eur. J. Operat. Res. 169(1):202–225.
- Birnbaum, Z.W. (1969). On the Importance of Different Components in a Multi-Component System. New York: Academic Press, pp. 581–592.
- Boedigheimer, R.A., Kapur, K.C. (1994). Customer-driven reliability models for multi-state coherent systems. IEEE Trans. Reliab. 55(2):46–50.
- Boland, P.J., Proschan, F. (1983). The reliability of k out of n systems. Ann. Probab. 11(3):760–764.
- Coit, D.W., Liu, J.C. (2000). System reliability optimization with k-out-of-n subsystems. Int. J. Reliab. Qual. Safety Eng. 7(2):129–142.
- Ding, Y., Zuo, M.J., Lisnianski, A., Wei, L. (2010a). A framework for reliability approximation of multi-state weighted k-out-of-n systems. IEEE Trans. Reliab. 59(2):297–308.
- Ding, Y., Zuo, M.J., Tian, Z.G., Wei, L. (2010b). The hierarchical weighted multi-state k-out-of-n system model and its application for infrastructure management. IEEE Trans. Reliab. 59(3):593–603.
- El-Neweihi, E., Proschan, F., Sethuraman, J. (1978). Multistate coherent systems. J. Applied Probab. 15(12):675–688.
- Eryilmaz, S. (2010). Mean residual and mean past lifetime of multi-state systems with identical components. IEEE Trans. Reliab. 59(4):644–649.
- Frostig, E., Levikson, B. (2002). On the availability of R out of N repairable systems. Naval Res. Logist. 49(5):483–498.
- Huang, J.S., Zuo, M.J., Wu, Y.H. (2000). Generalized multi-state k-out-of-n: G Systems. IEEE Trans. Reliab. 49(1):105–111.
- Khatab, A., Nahas, N., Nourelfath, M. (2009). Availability of K-out-of-N: G systems with non-identical components subject to repair priorities. Reliab. Eng. Syst. Safety 94(2):142–151.
- Kuo, W., Zuo, M.J. (2003). Optimal Reliability Modeling: Principles and Applications. New York: John Wiley & Sons.
- Levitin, G. (2005). Universal Generating Function in Reliability Analysis and Optimization. London: Springer-Verlag.
- Li, C.Y., Chen, X., Yi, X.S., Tao, J.Y. (2011). Interval-valued reliability Analysis of Multi-State Systems. IEEE Trans. Reliab. 60(1):323–330.
- Li, X.H., Zuo, M.J., Yam, R.C. (2006). Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down. Reliab. Eng. Syst. Safety 91(3):305–310.
- Lisnianski, A., Levitin, G. (2003). Multi-state System Reliability: Assessment, Optimization and Applications. New York: World Scientific.
- Meng, F.C. (1993). Component-relevancy and characterization results in multistate systems. IEEE Trans. Reliab. 42(3):478–483.
- Natvig, B. (2011). Multistate Systems Reliability Theory with Applications. New York: John Wiley & Sons.
- Risse, T. (1987). On the evaluation of the reliability of k-out-of-n systems. IEEE Trans. Reliab. 36(4):433–435.
- Sarje, A.K., Prasad, E.V. (1989). An efficient non-recursive algorithm for computing the reliability of k-out-of-n systems. IEEE Trans. Reliab. 38(2):234–235.
- Shrestha, A., Xing, L.D., Dai, Y.S. (2010). Decision diagram based methods and complexity analysis for multi-state systems. IEEE Trans. Reliab. 59(1):145–161.
- Trivedi, K. (2002). Probability and Statistics with Reliability, Queuing and Computer Science Applications. New York: Wiley.
- Vasseur, D., Llory, M. (1999). International survey on PSA figures of merit. Reliab. Eng. Syst. Safety 66(3):261–274.
- Zhao, X., Cui, L.R., Kuo, W. (2007). Reliability for Sparsely consecutive-k systems. IEEE Trans. Reliab. 56(3):516–524.
- Zhao, X., Cui, L.R. (2010). Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach. Int. J. of Syst. Sci. 41(12):1437–1443.
- Zhao, X., Zhao, W., Xie, W.J. (2011). Two-dimension linear connected-k system with trinary states and its reliability. J. Syst. Eng. Electron. 22(5):866–870.
- Zio, E., Podofillini, L. (2003). Monte-Carlo simulation analysis of the effects on different system performance levels on the importance on multi-state components. Reliab. Eng. Syst. Safety 82(1):63–73.
- Zuo, M.J., Tian, Z.G. (2006). Performance evaluation of generalized multi-state k-out-of-n systems. IEEE Trans. Reliab. 55(2):319–327.