Open Access
Issue
RAIRO-Oper. Res.
Volume 57, Number 4, July-August 2023
Page(s) 2131 - 2149
DOI https://doi.org/10.1051/ro/2023068
Published online 08 August 2023
  • S. Bisht and S.B. Singh, Reliability evaluation of repairable parallel–series multi-state system implementing interval valued universal generating function. J. Reliab. Stat. Stud. 14 (2021) 81–120. [Google Scholar]
  • D.R. Cox, The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables, in Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 51. Cambridge University Press (1955, July) 433–441. [CrossRef] [Google Scholar]
  • A.U.G.U.S.T.O. Gandini, Importance and sensitivity analysis in assessing system reliability. IEEE Trans. Reliab. 39 (1990) 61–70. [CrossRef] [Google Scholar]
  • H. Garg, Bi-objective reliability-cost interactive optimization model for series–parallel system. Int. J. Math. Eng. Manage. Sci. 6 (2021) 1331. [Google Scholar]
  • M.N. Gopalan and P. Venkatachalam, Availability and reliability of a 2-unit 2-server system subject to preventive maintenance and repair. RAIRO: Oper. Res. 12 (1978) 85–92. [CrossRef] [EDP Sciences] [Google Scholar]
  • N. Goyal and M. Ram, Software development life cycle testing analysis: a reliability approach. Math. Eng. Sci. Aerosp. 5 (2014) 313–329. [Google Scholar]
  • N. Goyal, M. Ram, S. Amoli and A. Suyal, Sensitivity analysis of a three-unit series system under k-out-of-n redundancy. Int. J. Qual. Reliab. Manage. 34 (2017) 770–784. [CrossRef] [Google Scholar]
  • P.P. Guilani, M. Sharifi, S.T.A. Niaki and A. Zaretalab, Reliability evaluation of non-reparable three-state systems using Markov model and its comparison with the UGF and the recursive methods. Reliab. Eng. Syst. Saf. 129 (2014) 29–35. [CrossRef] [Google Scholar]
  • Z. Hu and X. Du, A sampling approach to extreme value distribution for time-dependent reliability analysis. J. Mech. Design 135 (2013) 071003. [CrossRef] [Google Scholar]
  • M. Jain and R. Gupta, Optimal replacement policy for a repairable system with multiple vacations and imperfect fault coverage. Comput. Ind. Eng. 66 (2013) 710–719. [CrossRef] [Google Scholar]
  • M. Jain and P. Kumar, Availability prediction of repairable fault-tolerant system with imperfect coverage, reboot, and common cause failure, in Performance Prediction and Analytics of Fuzzy, Springer, Singapore (2019) 93–103. [Google Scholar]
  • P.A. Jensen and M. Bellmore, An algorithm to determine the reliability of a complex system. IEEE Trans. Reliab. 18 (1969) 169–174. [CrossRef] [Google Scholar]
  • Y.S. Juang, S.S. Lin and H.P. Kao, A knowledge management system for series–parallel availability optimization and design. Expert Syst. App. 34 (2008) 181–193. [CrossRef] [Google Scholar]
  • P. Kumar and A. Kumar, Tripod turnstile machines performance analysis for the system safety and security without considering simultaneous failures using reliability approach. Int. J. Math. Eng. Manage. Sci. 6 (2021) 383. [Google Scholar]
  • G. Kumar, V. Jain and O.P. Gandhi, Availability analysis of repairable mechanical systems using analytical semi-Markov approach. Qual. Eng. 25 (2013) 97–107. [CrossRef] [Google Scholar]
  • A. Kumar, M. Garia, M. Ram and S.C. Dimri, Assessment of fuzzy reliability and signature of series–parallel multistate system, Safety and Reliability Modeling and its Applications. Elsevier (2021) 397–409. [CrossRef] [Google Scholar]
  • R.D. Leitch, Reliability analysis for engineers: an introduction, in OUP Catalogue. Oxford University Press (1995). [Google Scholar]
  • G. Levitin, Incorporating common-cause failures into nonrepairable multistate series–parallel system analysis. IEEE Trans. Reliab. 50 (2001) 380–388. [CrossRef] [Google Scholar]
  • G. Levitin, L. Xing, H. Ben-Haim and Y. Dai, Reliability of series–parallel systems with random failure propagation time. IEEE Trans. Reliab. 62 (2013) 637–647. [CrossRef] [Google Scholar]
  • S.C. Malik, S.K. Chauhan and N. Ahlawat, Reliability analysis of a non series–parallel system of seven components with Weibull failure laws. Int. J. Syst. Assur. Eng. Manage. 11 (2020) 577–582. [CrossRef] [Google Scholar]
  • M. Manglik and M. Ram, Reliability analysis of a two-unit cold standby system using Markov process. J. Reliab. Stat. Stud. 6 (2013) 65–80. [Google Scholar]
  • H.K. Mohajan, Two criteria for good measurements in research: validity and reliability. Ann. Spiru Haret Univ. Econ. Ser. 17 (2017) 59–82. [CrossRef] [Google Scholar]
  • N. Nahas and M. Nourelfath, Non-linear threshold algorithm for the redundancy optimization of multi-state systems. Int. J. Math. Eng. Manage. Sci. 6 (2021) 416. [Google Scholar]
  • M. Ram, Reliability measures of a three-state complex system: a copula approach. App. Appl. Math. Int. J. (AAM) 5 (2010) 10. [Google Scholar]
  • M. Ram, S.B. Singh and V.V. Singh, Stochastic analysis of a standby system with waiting repair strategy. IEEE Trans. Syst. Man Cybern. Syst. 43 (2013) 698–707. [CrossRef] [Google Scholar]
  • P. Roberts and H. Priest, Reliability and validity in research. Nursing Stand. 20 (2006) 41–46. [CrossRef] [Google Scholar]
  • B. Schorr, Introduction to reliability theory (No. CERN–74-16). European Organization for Nuclear Research (1974). [Google Scholar]
  • Z. Tian, M.J. Zuo and H. Huang, Reliability-redundancy allocation for multi-state series–parallel systems. IEEE Trans. Reliab. 57 (2008) 303–310. [CrossRef] [Google Scholar]
  • V. Tyagi, R. Arora, M. Ram and I.S. Triantafyllou, Copula based measures of repairable parallel system with fault coverage. Int. J. Math. Eng. Manage. Sci. 6 (2021) 322. [Google Scholar]
  • V. Tyagi, N. Rawat and M. Ram, Reliability modelling and sensitivity analysis of IoT based flood alerting system. J. Qual. Maintenance Eng. 27 (2021) 292–307. [CrossRef] [Google Scholar]
  • P. Weber and L. Jouffe, Complex system reliability modelling with dynamic object-oriented Bayesian networks (DOOBN). Reliab. Eng. Syst. Saf. 91 (2006) 149–162. [CrossRef] [Google Scholar]
  • J. Xue and K. Yang, Dynamic reliability analysis of coherent multistate systems. IEEE Trans. Reliab. 44 (1995) 683–688. [Google Scholar]
  • A. Yalaoui, C. Chu and E. Chatelet, Reliability allocation problem in a series–parallel system. Reliab. Eng. Syst. Saf. 90 (2005) 55–61. [CrossRef] [Google Scholar]
  • D.Y. Yang and C.L. Tsao, Reliability and availability analysis of standby systems with working vacations and retrial of failed components. Reliab. Eng. Syst. Saf. 182 (2019) 46–55. [CrossRef] [Google Scholar]
  • B. Yang and M. Xie, A study of operational and testing reliability in software reliability analysis. Reliab. Eng. Syst. Saf. 70 (2000) 323–329. [CrossRef] [Google Scholar]
  • L. Yuan and X.Y. Meng, Reliability analysis of a warm standby repairable system with priority in use. Appl. Math. Modell. 35 (2011) 4295–4303. [CrossRef] [Google Scholar]

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