Journal of Statistical Theory and Applications

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Volume 19, Issue 3, September 2020, Pages 408 - 414

Reliability Analysis of Weighted- k-out-of- n: G System Consisting of Two Different Types of Nonidentical Components Each with its Own Positive Integer-Valued Weight

Authors
Eisa Mahmoudi*, ORCID, RahmatSadat Meshkat
Department of Statistics, Yazd University, 89175-741, Yazd, Iran
*Corresponding author. Email: emahmoudi@yazd.ac.ir
Corresponding Author
Eisa Mahmoudi
Received 5 May 2019, Accepted 14 June 2020, Available Online 30 September 2020.
DOI
10.2991/jsta.d.200917.002How to use a DOI?
Keywords
Component importance; Mean time to failure; Reliability; Weighted- k-out-of- n:G system
Abstract

This paper introduces a special case of weighted- k-out-of- n:G system formed from two types of nonidentical components with different weights. This system consists of n nonidentical components each with its own positive integer-valued weight which are categorized into two groups with respect to their duties and services. In fact, we have a system consisting n components such that n1 of them each with its own weight ωi and reliability p1i and n2 of them each with its own weight ωi∗ and reliability p2i. If the total weights of the functioning components exceeds a prespecified threshold k, the system is supposed to work. The reliability of system is obtained based on the total weight of all working components in both group. The survival function and mean time to failure are presented. Also, the component importance of this system are studied.

Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 3
Pages
408 - 414
Publication Date
2020/09/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200917.002How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Eisa Mahmoudi
AU  - RahmatSadat Meshkat
PY  - 2020
DA  - 2020/09/30
TI  - Reliability Analysis of Weighted- k-out-of- n: G System Consisting of Two Different Types of Nonidentical Components Each with its Own Positive Integer-Valued Weight
JO  - Journal of Statistical Theory and Applications
SP  - 408
EP  - 414
VL  - 19
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200917.002
DO  - 10.2991/jsta.d.200917.002
ID  - Mahmoudi2020
ER  -