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Quality & Reliability Engineering

A computational method for finding the availability of opportunistically maintained multi-state systems with non-exponential distributions

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Pages 1047-1061 | Received 06 May 2019, Accepted 30 Oct 2019, Published online: 09 Dec 2019

References

  • Block, H.W., Borges, W.S. and Savits, T.H. (1985) Age-dependent minimal repair. Journal of Applied Probability, 22(2), 370–385.
  • Carrasco, J.A. (1999) Bounding steady-state availability models with group repair and phase type repair distributions. Performance Evaluation, 35, 193–214.
  • Chakravarthy, S.R., Krishnamoorthy, A. and Ushakumari, P.V. (2001) A k-out-of-n reliability system with an unreliable server and phase type repairs and services: The (N,T) policy. Journal of Applied Mathematics and Stochastic Analysis, 14, 361–380.
  • Chung, W.K. (1988) A k-out-of-N: G redundant system with dependent failure rates and common-cause failures. Microelectronics Reliability, 28(2), 201–203.
  • Cox, D. (1955) The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables. Mathematical Proceedings of the Cambridge Philosophical Society, 51(3), 433–441.
  • Cui, L., Du, S. and Zhang, A. (2014) Reliability measures for two-part partition of states for aggregated Markov repairable systems. Annals of Operations Research, 212(1), 93–114.
  • Cui, L. and Xie, M. (2001) Availability analysis of periodically inspected systems with random walk model. Journal of Applied Probability, 38(4), 860–871.
  • Dhillon, B. and Anude, O. (1993) Common-cause failure analysis of a parallel system with warm standby. Microelectronics Reliability, 33(9), 1321–1342.
  • Dhillon, B. and Shah, A. (2007) Availability analysis of a generalized maintainable three-state device parallel system with human error and common-cause failures. Journal of Quality in Maintenance Engineering, 13(4), 411–432.
  • El-Damcese, M.A. (2009) Analysis of warm standby systems subject to common-cause failures with time varying failure and repair rates. Applied Mathematical Sciences, 3(18), 853–860.
  • Eruguz, A., Tan, T. and van Houtum, G. (2017) Optimizing usage and maintenance decisions for k-out-of-n systems of moving assets. Naval Research Logistics, 64(5), 418–434.
  • Frostig, E. and Levikson, B. (2002) On the availability of R out of N repairable systems. Naval Research Logistics, 49(5), 483–498.
  • Garg, S., Singh, J. and Singh, D.V. (2010) Availability analysis of crank-case manufacturing in a two-wheeler automobile industry. Applied Mathematical Modelling, 34(6), 1672–1683.
  • Govil, A. (1981) Reliability of a stand-by system with common-cause failures and scheduled maintenance. Microelectronics Reliability, 21(2), 269–271.
  • Gupur, G. (2011) The system consisting of a reliable machine, an unreliable machine and a storage buffer with finite capacity, in Functional Analysis Methods for Reliability Models, Springer, Basel, Switzerland, pp. 59–135.
  • Gupur, G. and Li, X. (2001) Semigroup method for a mathematical model in reliability analysis. Journal of Systems Science and Systems Engineering, 10(2), 137–147.
  • Gurov, S.V. and Utkin, L.V. (1995) The time-dependent availability of repairable m-out-of-n and cold standby systems by arbitrary distributions and repair facilities. Microelectronics Reliability, 35(11), 1377–1393.
  • Hajeeh, M.A. (2011) Reliability and availability of a standby system with common cause failure. International Journal of Operational Research, 11(3), 343–363.
  • Ke, J.C., Yang, D.Y., Sheu, S.H. and Kuo, C.C. (2013) Availability of a repairable retrial system with warm standby components. International Journal of Computer Mathematics, 90(11), 2279–2297.
  • Kharoufeh, J.P., Finkelstein, D.E. and Mixon, D.G. (2006) Availability of periodically inspected systems with Markovian wear and shocks. Journal of Applied Probability, 43(2), 303–317.
  • Khatab, A., Nahas, N. and Nourelfath, M. (2009) Availability of K-out-of-N:G systems with non-identical components subject to repair priorities. Reliability Engineering & System Safety, 94(2), 142–151.
  • Kiessler, P.C., Klutke, G.A. and Yang, Y. (2002) Availability of periodically inspected systems subject to Markovian degradation. Journal of Applied Probability, 39(4), 700–711.
  • Kijima, M., Morimura, H. and Suzuki, Y. (1988) Periodical replacement problem without assuming minimal repair. European Journal of Operational Research, 37(2), 194–203.
  • Kozanidis, G., Gavranis, A. and Kostarelou, E. (2012) Mixed integer least squares optimization for flight and maintenance planning of mission aircraft. Naval Research Logistics, 59(3-4), 212–229.
  • Kumar, D., Singh, J. and Pandey, P. (1992) Availability of the crystallization system in the sugar industry under common-cause failure. IEEE Transactions on Reliability, 41(1), 85–91.
  • Kumar, G., Jain, V. and Gandhi, O.P. (2014) Steady-state availability analysis of repairable mechanical systems with opportunistic maintenance by using semi-Markov process. International Journal of System Assurance Engineering and Management, 5(4), 664–678.
  • Lee, Y. (2016) Availability analysis of redundancy model with generally distributed repair time, imperfect switchover, and interrupted repair. Electronics Letters, 52(22), 1851–1853.
  • Mi, J. (1995) Limiting behavior of some measures of system availability. Journal of Applied Probability, 32(2), 482–493.
  • Pazy, A. (1983) Semigroups of Linear Operators and Applications to Partial differential Equations (Vol. 44), Springer, New York, NY.
  • Qiu, Q., Cui, L., Shen, J. and Yang, L. (2017) Optimal maintenance policy considering maintenance errors for systems operating under performance-based contracts. Computers & Industrial Engineering, 112, 147–155.
  • Rai, R.N. and Bolia, N. (2014) Availability-based optimal maintenance policies for repairable systems in military aviation by identification of dominant failure modes. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 228(1), 52–61.
  • Sarkar, J. and Sarkar, S. (2000) Availability of a periodically inspected system under perfect repair. Journal of Statistical Planning and Inference, 91(1), 77–90.
  • Shen, J. and Cui, L. (2017) Reliability performance for dynamic multi-state repairable systems with K regimes. IISE Transactions, 49(9), 911–926.
  • Sridharan, V. and Mohanavadivu, P. (1997) Reliability and availability analysis for two non-identical unit parallel systems with common cause failures and human errors. Microelectronics Reliability, 37(5), 747–752.
  • Uemura, T., Dohi, T. and Kaio, N. (2010) Availability analysis of an intrusion tolerant distributed server system with preventive maintenance. IEEE Transactions on Reliability, 59(1), 18–29.
  • Xu, H. and Hu, W. (2008) Availability optimization of repairable system with preventive maintenance policy. International Journal of Systems Science, 39(6), 655–664.
  • Xu, H., Liu, H., Zhu, G. and Yu, J. (2005) The asymptotic stability of a man-machine system with critical and non-critical human error. Journal of Systems Science and Mathematical Sciences, 25(5), 513–524.
  • Yang, Y. and Klutke, G.A. (2000) Improved inspection schemes for deteriorating equipment. Probability in the Engineering and Informational Sciences, 14(4), 445–460.
  • Yu, H., Chu, C. and Châtelet, É. (2014) Availability optimization of a redundant system through dependency modeling. Applied Mathematical Modelling, 38(19-20), 4574–4585.
  • Yuan, W., Guo, L. and Xu, G. (2014) Optimal repair strategies for a two-unit deteriorating standby system. Applied Mathematics and Computation, 227, 102–111.
  • Zhang, Q., Cui, L. and Yi, H. (2017) A study on a single-unit repairable system with working and repair time omission under an alternative renewal process. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 231(3), 232–241.
  • Zhou, Y., Lin, T.R., Sun, Y., Bian, Y. and Ma, L. (2015) An effective approach to reducing strategy space for maintenance optimization of multistate series–parallel systems. Reliability Engineering & System Safety, 138, 40–53.

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