Journal of Applied Probability

Signature-based representations for the reliability of systems with heterogeneous components

Jorge Navarro, Francisco J. Samaniego, and N. Balakrishnan

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Signature-based representations of the reliability functions of coherent systems with independent and identically distributed component lifetimes have proven very useful in studying the ageing characteristics of such systems and in comparing the performance of different systems under varied criteria. In this paper we consider extensions of these results to systems with heterogeneous components. New representation theorems are established for both the case of components with independent lifetimes and the case of component lifetimes under specific forms of dependence. These representations may be used to compare the performance of systems with homogeneous and heterogeneous components.

Article information

J. Appl. Probab., Volume 48, Number 3 (2011), 856-867.

First available in Project Euclid: 23 September 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60E15: Inequalities; stochastic orderings
Secondary: 60K10: Applications (reliability, demand theory, etc.)

Coherent system k-out-of-n system order statistic signature mixture copula stochastic order


Navarro, Jorge; Samaniego, Francisco J.; Balakrishnan, N. Signature-based representations for the reliability of systems with heterogeneous components. J. Appl. Probab. 48 (2011), no. 3, 856--867. doi:10.1239/jap/1316796920.

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