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Some bounds on reliability of coherent systems of IFRA components

  • Gopal Chaudhuri (a1), Jayant V. Deshpande (a1) and Avinash D. Dharmadhikari (a1)

Abstract

In this paper we find new bounds for the reliability of coherent systems of independent components with increasing failure rate average (IFRA) lifetimes. These bounds are based on certain bounds available for the survival functions of IFRA random variables and the fact that the IFRA class of life distributions is closed under the formation of coherent systems. These bounds are compared with other applicable bounds in this case. An illustration of explicit computations of the bounds is provided for the bridge structure with components having independent gamma life distributions.

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Postal address: Department of Statistics, University of Poona, Pune — 411007, India

References

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Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.
Beichelt, F. A. and Spross, L. (1989) Bounds on reliability of binary coherent systems. IEEE Trans. Reliability 38, 425427.
Bodin, L. D. (1970) Approximations to system reliability using amodular decomposition. Technometrics 12, 335344.

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Some bounds on reliability of coherent systems of IFRA components

  • Gopal Chaudhuri (a1), Jayant V. Deshpande (a1) and Avinash D. Dharmadhikari (a1)

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