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Tytuł artykułu

Transient behaviour of instantaneous and average availabilities in non-Markovian configuration

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Warianty tytułu
Konferencja
16th Summer Safety & Reliability Seminars - SSARS 2022, 4-11 September 2022, Ciechocinek, Poland
Języki publikacji
EN
Abstrakty
EN
In this work, we calculate the exact instantaneous and average availabilities for a system in which the failure distribution is a gamma distribution with a rational shape parameter α, and the repair time distribution is exponential. Various regimes exist, for which the availabilities may or may not attain values below the asymptotic limit. This is an example of configurations where using the steady-state value may lead to an overoptimistic assessment of the availability of an equipment or system during its mission time.
Bibliografia
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  • Carnevali, L., Flammini, F., Paolieri, M. & Vicario, E. 2015. Non-Markovian performability evaluation of ERTMS/ETCS level 3.M. Beltrán et al. (Eds.). Computer Performance Engineering. Springer International Publishing, 47-62.
  • Chandrasekhar, P. & Natarajan, R. 1996. Confidence limits for steady-state availability of systems with a mixture of exponential and gamma operating time and lognormal repair time. Microelectronics Reliability 36(9), 1303-1304.
  • Chandrasekhar, P. & Natarajan, R. 1997. Confidence limits for steady state availability of systems with lognormal operating time and inverse gaussian repair time. Microelectronics Reliability 37(6), 969-971.
  • Diallo, C. & Aït-Kadi, D. 2007. Approximation pour le calcul du nombre moyen derenouvellements à la panne d’un système réparable etapplication à la détermination de la disponibilité. Proceedings of 7ème Congrès International de Génie Industriel,1-8 (in French).
  • Distefano, S., Longo, F., & Scarpa, M. 2010. Availability Assessment of HA Standby Redundant Clusters. 29th IEEE Symposium on Reliable Distributed Systems. The Institute of Electrical and Electronics Engineers, 265-274.
  • Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F.G. 1954. Tables of Integral Transforms. McGraw-Hill Book Company, Inc., New York - Toronto - London, 1, 179.
  • Henley, E.J. & Kumamoto, H. 1991. Probabilistic Risk Assessment: Reliability Engineering, Design, and Analysis. IEEE Press, New York.
  • Kuo, W. & Zuo, M.J. 2003. Optimal Reliability Modeling - Principles and Applications. John Wiley & Sons, Inc., Hoboken.
  • Pham, H. 2006. Basic Statistical Concepts. H. Pham (Ed.). Springer Handbook of Engineering Statistics. Springer-Verlag London Limited, 3-48.
  • Pham-Gia, T. &Turkkan, N. 1999. System availability in a gamma alternating renewal process. Naval Research Logistics 46, 822-844.
  • Rao, M.S. & Naikan, V.N.A. 2015. A system dynamics model for transient availability modeling of repairable redundant systems policy. International Journal of Performability Engineering 11(3), 203-211.
  • Rausand, M. & Høyland, A. 2004. System Reliability Theory, Models, Statistical Methods and Applications, 2nd edition. Wiley, Hoboken.
  • Sarkar, J. &Chaudhuri, G. 1999. Availability of a system with gamma life and exponentialrepair time under a perfect repair policy. Statistics & Probability Letters 43, 189-196.
  • Sneddon, I.N. 1972. The Use of Integral Transforms. McGraw-Hill, New York.
  • Tanguy, C. 2020.When considering the asymptotic availability is not a safe bet. P. Baraldiet al. (Eds.). Proceedings of the 30th European Safety and Reliability Conference and the 15th Probabilistic Safety Assessment and Management Conference.Research Publishing, Singapore, 3091-3098.
  • Tanguy, C., Buret, M., & Brinzei, N. 2019. Is it safe to use MTTF/(MTTF + MTTR) for the availability?. M. Beer et al. (Eds.). Safety and Reliability - Theory and Applications, Proceedings of the 29th European Safety and Reliability. Research Publishing, Singapore, 925-929.
  • Tillman, F.A., Kuo, W., Nassar, R.F. & Hwang, C.L. 1983. Numerical evaluation of instantaneous availability. IEEE Transactions on ReliabilityR-32(1), 119-123.
  • Zeiler, P., Müller, F. & Bertsche, B. 2017. New methods for the availability prediction with confidence level. L. Wallset al. (Eds.). Risk, Reliability and Safety: Innovating Theory and Practice.Taylor & Francis Group Publishing, London, 313-320.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0d5a6274-d5fe-47a2-8f23-625590f46f30
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