Volume 7, Issue 4 (Vol. 7,No. 4, 2021)
mmr 2021, 7(4): 811-828 |
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Salehi M, Shishebor Z, Zarezadeh S. The Reliability of Weighted k-out-of-n Systems with Randomized Components of Several Batches. mmr 2021; 7 (4) :811-828
URL: http://mmr.khu.ac.ir/article-1-2965-en.html
URL: http://mmr.khu.ac.ir/article-1-2965-en.html
1- Shiraz University
2- Shiraz University ,s.zarezadeh@shirazu.ac.ir
2- Shiraz University ,
Abstract: (1187 Views)
One of the most important types of redundancy structures is weighted k-out-of-n system (which briefly denoted as weighted k/n system). In this paper, a weighted k/n system with dependent components is considered and it is assumed that the components of the system are selected from p, p≥3, batches. The components in the batches are different in terms of their weights and reliability functions. It is supposed that the selection of components from p-1 batches is based on a random vector with dimension p-1, and the remaining components are chosen from the last batch. The structure of dependency of components is also determined using a copula function. Under these circumstances, a mixture representation is given for the reliability function of the system based on the reliability functions of weighted k/n systems with a fixed number of the components in the batches. Some stochastic orderings are presented, under some conditions, for comparing two different weighted k/n systems with randomized components. The results are illustrated using some examples and graphs.
Type of Study: Original Manuscript |
Subject:
Network Flows- Operation Reseach
Received: 2019/06/13 | Revised: 2022/11/15 | Accepted: 2019/12/15 | Published: 2022/03/29 | ePublished: 2022/03/29
Received: 2019/06/13 | Revised: 2022/11/15 | Accepted: 2019/12/15 | Published: 2022/03/29 | ePublished: 2022/03/29
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