Journal of Applied Probability
- J. Appl. Probab.
- Volume 48, Number 3 (2011), 856-867.
Signature-based representations for the reliability of systems with heterogeneous components
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.
J. Appl. Probab., Volume 48, Number 3 (2011), 856-867.
First available in Project Euclid: 23 September 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60E15: Inequalities; stochastic orderings
Secondary: 60K10: Applications (reliability, demand theory, etc.)
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. https://projecteuclid.org/euclid.jap/1316796920