Measures of component importance for markov chain imbeddable reliability structures

In this article we study the reliability importance of the components for the wide class of Markov chain imbeddable systems (MIS). Methods for the evaluation of Birnbaum importance are developed for a general MIS, and some generating function techniques are demonstrated for the special case of homog...

Full description

Saved in:
Bibliographic Details
Published in:Naval research logistics 1999-09, Vol.46 (6), p.613-639
Main Authors: Chadjiconstantinidis, Stathis, Koutras, Markos V.
Format: Article
Language:English
Subjects:
Applied sciences
Evaluation
Exact sciences and technology
Functions
Operational research and scientific management
Operational research. Management science
Perturbation techniques
Probability
Reliability
Reliability theory. Replacement problems
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article we study the reliability importance of the components for the wide class of Markov chain imbeddable systems (MIS). Methods for the evaluation of Birnbaum importance are developed for a general MIS, and some generating function techniques are demonstrated for the special case of homogeneous MISs. As an application, the reliability ordering for the components of a k‐out‐of‐n and consecutive‐k‐out‐of‐n structure is examined in some detail. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 613–639, 1999
ISSN:0894-069X
1520-6750
DOI:10.1002/(SICI)1520-6750(199909)46:6<613::AID-NAV2>3.0.CO;2-N