A probabilistic model for the structure functions of coherent systems

Document Type : Original Article

Author

Department of Statistics‎, ‎Ferdowsi University of Mashhad‎, ‎Mashhad‎, ‎Iran

Abstract

The probabilistic idea for the structure-function of a coherent system is suggested in the literature‎. ‎In this paper‎, ‎a primary model for this idea is defined‎. ‎This model leads to an extension of the class of coherent systems with binary (deterministic) structure functions‎. ‎Also‎, ‎in the stochastic comparison of the coherent systems with probabilistic structure functions‎, ‎it is shown that the concept of survival signature can successfully be used in this model‎. ‎‎T‎he well-known idea of the system signature is not usable here‎.

Keywords


  1.  Barlow, R. E. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston.
  2. Coolen, F. P. A. and Coolen-Maturi, T. (2013). Generalizing the signature to systems with multiple types of components. In: Complex Systems and Dependability. Advances in Intelligent and Soft Computing, Vol 170, 115–130. Springer, Berlin.
  3. Coolen F. P. A. and Coolen-Maturi T. (2016a). The structure function for system reliability as predictive (imprecise) probability. Reliability Engineering and System Safety 154, 180–187.
  4. Coolen, F.P.A. and Coolen-Maturi T. (2016b). On the structure function and survival signature for system reliability. Safety and Reliability, 36, 77–87.
  5. Coolen, F.P.A. and Coolen-Maturi T. (2021). The survival signature for quantifying system reliability: an introductory overview from a practical perspective. In: Reliability Engineering and Computational Intelligence, Vol 976, 23–37, Springer, Cham.
  6. Samaniego, F. J. (1985). On closure of the IFR class under formation of coherent systems. IEEE Transactions on Reliability, 34, 69–72.
  7. Shaked, M. and Shanthikumar, J. G. (2007). Stochastic Orders, Springer, New York.
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