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Reliability analysis of multistate series systems with dependent components

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Języki publikacji
EN
Abstrakty
EN
In the paper an approach to the reliability analysis of multistate series systems assuming their components dependency according to the local load sharing rule is presented. There is introduced the local load sharing model of components dependency (of departures from the reliability states subsets) and the reliability function of a multistate series system with dependent components is determined. These results are also presented in case system components have exponential reliability functions and in this case basic reliability characteristics are given.
Rocznik
Strony
31--36
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
  • Maritime University, Gdynia, Poland
  • Maritime University, Gdynia, Poland
Bibliografia
  • [1] Blokus-Roszkowska, A. (2007). On component failures’ dependency influence on system’s lifetime. Int J of Reliab, Quality and Safety Eng. Special Issue: System Reliability and Safety 14(6), 1-19.
  • [2] Blokus-Roszkowska, A. (2007). Reliability analysis of homogenous large systems with component dependent failures. PhD Thesis, Gdynia Maritime University – System Research Institute Warsaw, (in Polish).
  • [3] Blokus-Roszkowska, A. & Kołowrocki, K. (2014). Reliability analysis of complex shipyard transportation system with dependent components. Journal of Polish Safety and Reliability Association, Summer Safety and Reliability Seminars 5(1), 21-31.
  • [4] Blokus-Roszkowska, A. & Kołowrocki, K. (2014). Reliability analysis of ship-rope transporter with dependent components. Proc. European Safety and Reliability Conference – ESREL 2014, Wrocław, 255-263.
  • [5] Blokus-Roszkowska, A. & Kołowrocki, K. (2015). Reliability analysis of multistate series systems with dependent components. Applied Mathematics and Computation, submitted.
  • [6] Daniels, H. E. (1945). The statistical theory of the strength of bundles of threads. I. Proc. Roy. Soc. Ser. A. 183, 404-435.
  • [7] Harlow, D. G. & Phoenix, S. L. (1978). The chain-of-bundles probability model for the strength of fibrous materials. Journal of Composite Materials 12, 195-214.
  • [8] Harlow, D .G. & Phoenix, S. L. (1982). Probability distribution for the strength of fibrous materials under local load sharing. Adv. Appl. Prob. 14, 68-94.
  • [9] Jain, M. & Gupta, R. (2012). Load sharing M-out of-N: G system with non-identical components subject to common cause failure. International Journal of Operations Research 4(5), 586-605.
  • [10] Kołowrocki, K. (2014). Reliability of Large and Complex Systems. Elsevier.
  • [11] Kołowrocki, K. & Soszyńska-Budny, J. (2011). Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization. Springer.
  • [12] Kvam, P.H. & Pena, E.A. (2005). Estimating load-sharing properties in a dynamic reliability system. J Am Stat Assoc. 1(100), 262-272.
  • [13] Phoenix, S.L. & Smith, R.L. (1983). A comparison of probabilistic techniques for the strength of fibrous materials under local load sharing among fibres. Int. J. Solids Struct. 19(6), 479-496.
  • [14] Pradhan, S., Hansen, A. & Chakrabarti, B.K. (2010). Failure processes in elastic fiber bundles. Rev. Mod. Phys. 82, 499-555.
  • [15] Singh, B. & Gupta, P.K. (2012). Load-sharing system model and its application to the real data set. Mathematics and Computers in Simulation 82(9), 1615-1629.
  • [16] Singh, B., Sharma, K.K. & Kumar, A. (2008). A classical and Bayesian estimation of a k components load sharing parallel system. Computational Statistics and Data Analysis 52, 5175-5185.
  • [17] Smith, R.L. (1983). Limit theorems and approximations for the reliability of load sharing systems. Adv. Appl. Prob. 15, 304-330.
  • [18] Smith, R.L. (1982). The asymptotic distribution of the strength of a series-parallel system with equal load sharing. Ann. of Prob. 10, 137-171.
  • [19] Xue, J. (1985). On multi-state system analysis. IEEE Trans on Reliab. 34, 329-337.
  • [20] Xue, J. & Yang, K. (1995). Dynamic reliability analysis of coherent multi-state systems. IEEE Trans on Reliab. 4(44), 683-688.
  • [21] Xue, J. & Yang, K. (1995). Symmetric relations in multi-state systems. IEEE Trans on Reliab 4(44), 689-693.
  • [22] Zhisheng, Y., Revie, M. & Walls, L. (2014). A Load Sharing System Reliability Model With Managed Component Degradation. IEEE Trans. on Reliab. 63(3), 721-730.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3ea68e2f-8a82-4a9b-a4c5-dfb2f77844eb
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