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Consecutive k-within-m-out-of-n:F System with Nonidentical Components
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
As a generalisation of consecutive k-out-of-n:F and k-out-of-n:F system models, a consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components.
In this paper, we study the survival function of a consecutive k-within-m-out-of-n:F system consisting of independent but nonidentical components.
We obtain exact expressions for the survival function when 2m≥n.
A detailed analysis for consecutive 2-within-m-out-of-n:F systems is presented and the asymptotic behaviour of hazard rate of these systems is investigated using mixture representations.
American Psychological Association (APA)
Eryilmaz, Serkan. 2012. Consecutive k-within-m-out-of-n:F System with Nonidentical Components. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-1001325
Modern Language Association (MLA)
Eryilmaz, Serkan. Consecutive k-within-m-out-of-n:F System with Nonidentical Components. Mathematical Problems in Engineering No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-1001325
American Medical Association (AMA)
Eryilmaz, Serkan. Consecutive k-within-m-out-of-n:F System with Nonidentical Components. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-1001325
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001325