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Reliability of the exemplary multistate series system with dependent components

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Języki publikacji
EN
Abstrakty
EN
In the paper a multistate approach to reliability analysis of series systems with dependent components according to the local load sharing rule is proposed. As a particular case, the reliability function of a multistate series system composed of dependent components having exponential reliability functions is determined. The mean values and standard deviations of the multistate system lifetimes in the reliability state subsets and the mean values of its lifetimes in the particular reliability states are determined. Application of the proposed model of components’ dependency to the reliability analysis of the exemplary system is presented. The exemplary system risk function and the moment of exceeding by the system the critical reliability state are given.
Rocznik
Strony
37--46
Opis fizyczny
Bibliogr. 23 poz., rys., wykr.
Twórcy
  • Maritime University, Gdynia, Poland
  • Maritime University, Gdynia, Poland
Bibliografia
  • [1] Amari, S.V., Misra, K.B. & Pham, H. (2008). Tampered Failure Rate Load-Sharing Systems: Status and Perspectives, Chapter 20 in Handbook on Performability Engineering. Springer, 291308.
  • [2] 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.
  • [3] 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).
  • [4] 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.
  • [5] 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.
  • [6] Blokus-Roszkowska, A. & Kołowrocki, K. (2015). Reliability analysis of multistate series systems with dependent components. Applied Mathematics and Computation, submitted.
  • [7] Carlson, R. L. & Kardomateas, G. A. (1996). An introduction to fatigue in metals and composites. Chapman and Hall, New York.
  • [8] Daniels, H. E. (1945). The statistical theory of the strength of bundles of threads. I. Proc. Roy. Soc. Ser. A. 183, 404-435.
  • [9] Grabski, F. (2014). Semi-Markov Processes: Applications in System Reliability and Maintenance. Elsevier.
  • [10] Harlow, D.G. & Phoenix, S.L. (1978). The chainof-bundles probability model for the strength of fibrous materials. Journal of Composite Materials 12, 195-214.
  • [11] Harlow, D.G. & Phoenix, S.L. (1982). Probability distribution for the strength of fibrous materials under local load sharing. Adv. Appl. Prob. 14, 6894.
  • [12] Kołowrocki, K. (2014). Reliability of Large and Complex Systems. Elsevier.
  • [13] Kołowrocki, K. & Soszyńska-Budny, J. (2011). Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization. Springer.
  • [14] Kvam, P. H. & Pena, E. A. (2005). Estimating load-sharing properties in a dynamic reliability system. J Am Stat Assoc. 1(100), 262-272.
  • [15] Limnios, N. & Oprisan, G. (2005). Semi-Markov Processes and Reliability. Birkhauser, Boston.
  • [16] 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.
  • [17] Pradhan, S., Hansen, A. & Chakrabarti, B. K. (2010). Failure processes in elastic fiber bundles. Rev. Mod. Phys. 82, 499-555.
  • [18] 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.
  • [19] 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.
  • [20] Smith, R. L. (1983). Limit theorems and approximations for the reliability of load sharing systems. Adv. Appl. Prob. 15, 304-330.
  • [21] Xue, J. (1985). On multi-state system analysis. IEEE Trans on Reliab. 34, 329-337.
  • [22] Xue, J. & Yang, K. (1995). Dynamic reliability analysis of coherent multi-state systems. IEEE Trans on Reliab. 4(44), 683-688.
  • [23] Xue, J. & Yang, K. (1995). Symmetric relations in multi-state systems. IEEE Trans on Reliab 4(44), 689-693. [
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-906f4f48-53e0-4729-a135-bf5146b39ffd
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