Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-18T02:20:45.396Z Has data issue: false hasContentIssue false
  • English
  • Français

Active Redundancy Allocation in Coherent Systems

Published online by Cambridge University Press:  27 July 2009

Philip J. Boland ,
Emad El Neweihi  and
Frank Proschan
Philip J. Boland
Affiliation:
Department of Statistics University College, Dublin Belfield, Dublin 4, Ireland
Emad El Neweihi
Affiliation:
Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago Chicago, Illinois 60680
Frank Proschan
Affiliation:
Department of Statistics The Florida State University Tallahassee, florida 32306-3033
Get access Rights & Permissions [Opens in a new window]

Abstract

We introduce in this paper a new measure of component importance, called redundancy importance, in coherent systems. It is a measure of importance for the situation in which an active redundancy is to be made in a coherent system. This measure of component importance is compared with both the (Birnbaum) reliability importance and the structural importance of a component in a coherent system. Various models of component redundancy are studied, with particular reference to k/out / of / n systems, parallel-series systems, and series-parallel systems.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 3 , July 1988 , pp. 343 - 353
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barlow, R.E. & Proschan, F. (1981). Statistical theory of reliability and life testing: Probability models. To Begin With, Silver Spring, Md:Google Scholar
Boland, P.J. & Proschan, F. (1983). The reliability of k-out-of-n systems. Annals of Probability 11: 760–764.CrossRefGoogle Scholar
Boland, P.J. & Proschan, F. (1988). Multivariate arrangement increasing functions with applications in probability and statistics. Journal of Multivariate Analysis 25: 286–298.CrossRefGoogle Scholar
Hollander, M., Proschan, F., & Sethuraman, J. (1977). Functions decreasing in transposition and their applications in ranking problems. Annals of Statistics 5: 722–733.Google Scholar
Marshall, A. & Olkin, I. (1979). Inequalities: Theory of majorization and its applications. New York: Academic Press.Google Scholar