Redundancy in systems with heterogeneous dependent components

Jorge Navarro and Pedro Fernández-Martínez

European Journal of Operational Research, 2021, vol. 290, issue 2, 766-778

Abstract: We study different redundancy mechanisms in coherent systems with possibly dependent heterogeneous components. The dependence is modelled through copulas. We use distortion functions to obtain general results for different redundancy procedures. This model includes the popular active redundancy and minimal repair procedures. The purpose is to determine where these redundant components should be located in the system, according to its structure. We study series and parallel systems in detail. In the first case (series systems), it is well known that active and minimal repair redundancies should be assigned to the weakest component. However, we show that, surprisingly, this is not always the case for all the redundancy mechanisms. Moreover, we give a condition on the redundancy mechanism to get this expected property. Similar results are obtained for parallel systems. In these systems one can think that the best option is to assign the redundancy to the strongest component. However, we prove that this is not always the case. We include results for other system structures as well and we show that these properties also depend on the copula (dependence structure).

Keywords: Coherent systems; Active redundancy; Minimal repair; Distorted distributions; Copula, (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221720307025
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:290:y:2021:i:2:p:766-778

DOI: 10.1016/j.ejor.2020.08.011

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().