| Title:
|
On reliability analysis of consecutive $k$-out-of-$n$ systems with arbitrarily dependent components (English) |
| Author:
|
Salehi, Ebrahim |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
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1572-9109 (online) |
| Volume:
|
61 |
| Issue:
|
5 |
| Year:
|
2016 |
| Pages:
|
565-584 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we consider the linear and circular consecutive $k$-out-of-$n$ systems consisting of arbitrarily dependent components. Under the condition that at least $n-r+1$ components ($r\leq n$) of the system are working at time $t$, we study the reliability properties of the residual lifetime of such systems. Also, we present some stochastic ordering properties of residual lifetime of consecutive $k$-out-of-$n$ systems. In the following, we investigate the inactivity time of the component with lifetime $T_{r:n}$ at the system level for the consecutive $k$-out-of-$n$ systems under the condition that the system is not working at time $t>0$, and obtain some stochastic properties of this conditional random variable. (English) |
| Keyword:
|
residual lifetime |
| Keyword:
|
inactivity time |
| Keyword:
|
stochastic order |
| Keyword:
|
dependence |
| Keyword:
|
reliability |
| MSC:
|
60E05 |
| MSC:
|
60E15 |
| MSC:
|
60K10 |
| MSC:
|
62N05 |
| idZBL:
|
Zbl 06644012 |
| idMR:
|
MR3547762 |
| DOI:
|
10.1007/s10492-016-0147-5 |
| . |
| Date available:
|
2016-10-01T15:53:51Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145891 |
| . |
| Reference:
|
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