Construction of optimal reliability test plans for binary type multi-state strongly coherent systems

References

• Altinel, İ. K. 1992. The design of optimum component test plans in the demonstration of a series system reliability. Computational Statistics and Data Analysis 14:281–92.
   Web of Science ®Google Scholar
• Altinel, İ. K., and S. ÖZekici. 1997. A dynamic model for component testing. Naval Research Logistics 44 (2):187–97. doi:10.1002/(SICI)1520-6750(199703)44:2<187::AID-NAV3>3.0.CO;2-5.
   Web of Science ®Google Scholar
• Altinel, İ. K., and S. Özekici. 1998. Optimum component test plans for systems with dependent components. European Journal of Operational Research 111:175–86. doi:10.1016/S0377-2217(97)00355-X.
   Web of Science ®Google Scholar
• Altınel, İ. K., C. Bora, F. Orhan, M. E. Keskin, and S. Özekici. 2011. Mission-based component testing for series systems. Annals of Operations Research 186:1–22.
   Web of Science ®Google Scholar
• Barlow, R. E., and F. Proschan. 1975. Statistical theory of reliability and life testing. New York, NY: Holt, Rinehart and Winston.
   Google Scholar
• Bäuerle, N., and R. Grübel. 2005. Multivaraite counting process: Copulas and beyond. ASTIN Bulletin 35 (2):379–408. doi:10.2143/AST.35.2.2003459.
   Google Scholar
• Gal, S. 1974. Optimal test design for reliability demonstration. Operations Research 22 (6):1236–42. doi:10.1287/opre.22.6.1236.
   Web of Science ®Google Scholar
• Hunter, J. J. 1974. Renewal theory in two dimensions: Basic results. Advances in Applied Probability 6 (2):376–91. doi:10.2307/1426299.
   Google Scholar
• Kulkarni, L.N., and S.V. Sabnis. 2019. Construction of optimal reliability test plans for multi-state coherent systems of Type 1. Communications in Statistics—Theory and Methods :1. doi:10.1080/03610926.2018.1528366.
   Google Scholar
• Lai, Chin-Diew, and Xie M. 2006. Stochastic Ageing and Dependence for Reliability. Springer, .Usa
   Google Scholar
• Mazumdar, M. 1977. An optimum procedure for component testing in the demonstration of series system reliability. IEEE Transactions on Reliability 26 (5):342–5. doi:10.1109/TR.1977.5220193.
   Web of Science ®Google Scholar
• Nair, H., and S. V. Sabnis. 2002. Reliability test pans for series systems with components having stochastic failure rates. IEEE Transactions on Reliability 51 (1):17–22. doi:10.1109/24.994899.
   Web of Science ®Google Scholar
• Natvig, B. 1982. Two suggestions of How to define a Multistate Coherent System. Advances in Applied Probability 14 (2):434–55.
   Google Scholar
• Natvig, B. 2010. Multistate systems reliability theory with applications. UK: Wiley Series in Probability and Statistics.
   Google Scholar
• Raghavachari, M. 1998. A note on optimal component test plans for series system reliability with exponential failure times. Technometrcs 40 (4):345–7. doi:10.2307/1270535.
   Web of Science ®Google Scholar
• Rajgopal, J., and M. Mazumdar. 1988. A Type-II censored, log-test time based, component-testing procedure for a parallel system. IEEE Transactions on Reliability 37 (4):406–12. doi:10.1109/24.9849.
   Web of Science ®Google Scholar
• Rajgopal, J., and M. Mazumdar. 1995. Designing component test plans for series system reliability via mathematical programming. Technometrics 37 (2):195–212. doi:10.1080/00401706.1995.10484304.
   Web of Science ®Google Scholar
• Rajgopal, J., and M. Mazumdar. 1996. A system based component test plan for a series system, with Type II censoring. IEEE Transactions on Reliability 45 (3):375–8. doi:10.1109/24.536988.
   Web of Science ®Google Scholar
• Sabnis, S. V., and H. Nair. 2005. Reliability test plan for parallel systems having stochastic failure rates. IAPQR Transactions 30:33–42.
   Google Scholar
• Sabnis, S. V., and H. Nair. 2006. Reliability Test Plan for Parallel Systems with Discrete Data. Journal of Indian Statistical Association. 46 (1):55–65.
   Google Scholar
• Sabnis, S. V., and G. Agnihothram. 2006. Application of arithmetic-geometric mean inequality for construction of reliability test plan for parallel systems in the presence of covariates. Economic Quality Control 21 (2):219–30. doi:10.1515/EQC.2006.219.
   Google Scholar
• Sabnis, S. V., and G. Agnihothram. 2007. Reliability test plans for series systems in the presence of covariates. Economic Quality Control 22 (2):197–209. doi:10.1515/EQC.2007.197.
   Google Scholar
• Yan, J.-H., and M. Mazumdar. 1986. A Comparison of Several Component-Testing Plans for a Series System. IEEE Transactions on Reliability 35 (4):437–46. doi:10.1109/TR.1986.4335498.
   Google Scholar
• Yan, J.-H., and M. Mazumdar. 1987. A Comparison of Several Component-Testing Plans For A Parallel System. IEEE Transactions on Reliability (R-36): 4:419–24. doi:10.1109/TR.1987.5222428.
   Google Scholar