The structural Birnbaum importance of consecutive-k systems
type: Item
instance of: scholarly article
title: The structural Birnbaum importance of consecutive-k systems
zbMATH Open document ID: 1003.90014
DOI: 10.1023/A:1013803728112
author: Hsun-Wen Chang
author: Frank K. Hwang
author: Rong-Jaye Chen
published in: Journal of Combinatorial Optimization
publication date: 2002-05-28T00:00:00Z
review text: The paper deals with three types of structural Birnbaum importance of components in a consecutive-\(k\) system. The consecutive-\(k\) system is a linear arrangement of \(n\) components such that the system fails if and only if some \(k\) consecutive components are all failed. The following three tasks are accomplished: i) survey existing results, including pointing out results but proofs are incomplete; ii) some new results and useful lemmas are given; iii) what are still provable and what are not with the help of extensive computing are observed. The paper has a cognitive character and is addressed to researches working in the area of system reliability theory.
reviewed by: Stefan Jendo
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 1746306
zbMATH Keywords: system reliability
zbMATH Keywords: consecutive-\(k\) systems
zbMATH Keywords: Birnbaum importance
MaRDI profile type: Publication
full work available at URL: a:1013803728112
OpenAlex ID: W1542380855
description: scientific article; zbMATH DE number 1746306