We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

The joint survival signature of coherent systems with shared components.

Coolen-Maturi, T. and Coolen, Frank P.A. and Balakrishnan, Narayanaswamy (2021) 'The joint survival signature of coherent systems with shared components.', Reliability engineering and system safety., 207 . p. 107350.


The concept of joint bivariate signature, introduced by Navarro et al. [13], is a useful tool for quantifying the reliability of two systems with shared components. As with the univariate system signature, introduced by Samaniego [17], its applications are limited to systems with only one type of components, which restricts its practical use. Coolen and Coolen-Maturi [2] introduced the survival signature, which generalizes Samaniego’s signature and can be used for systems with multiple types of components. This paper introduces a joint survival signature for multiple systems with multiple types of components and with some components shared between systems. A particularly important feature is that the functioning of these systems can be considered at different times, enabling computation of relevant conditional probabilities with regard to a system’s functioning conditional on the status of another system with which it shares components. Several opportunities for practical application and related challenges for further development of the presented concept are briefly discussed, setting out an important direction for future research.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
Download PDF
Publisher Web site:
Publisher statement:© 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:03 October 2020
Date deposited:20 November 2020
Date of first online publication:21 November 2020
Date first made open access:21 November 2021

Save or Share this output

Look up in GoogleScholar