| Title:
|
Some examples of non-monotonicities in a two-unit redundant system (English) |
| Author:
|
Lešanovský, Antonín |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
29 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
143-148 |
| Summary lang:
|
English |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A cold-standby redundant sytem with two identical units and one repair facility is considered. Units can be in three states: good $(I)$, degraded $(II)$, and failed $(III)$. It is supposed that only the following state-transitions of a unit are possible: $I\rightarrow II$, $II\rightarrow III$, $II\rightarrow I$, $III\rightarrow I$. The paper deals with the comparison of some initial situations of the system and with a stochastical improvement of units (stochastical increase of time of work in state $I$ and/or stochastical decrease of times of repairs of the types $II\rightarrow I$ and/or $III\rightarrow I$) and shows on examples that some surprising non-monotonicities can take place. (English) |
| Keyword:
|
times to system failure |
| Keyword:
|
cold-standby redundant system |
| MSC:
|
60K10 |
| MSC:
|
90B25 |
| idZBL:
|
Zbl 0535.60082 |
| idMR:
|
MR0738499 |
| DOI:
|
10.21136/AM.1984.104077 |
| . |
| Date available:
|
2008-05-20T18:24:28Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104077 |
| . |
| Reference:
|
[1] A. Lešanovský: Analysis of a two-unit standby redundant system with three states of units.Apl. mat. 27 (1982), 192-208. MR 0658002 |
| Reference:
|
[2] A. Lešanovský: Characterization of the first operating period of a two-unit standby redundant system with three states of units.Apl. mat. 27 (1982), 341-351. MR 0674980 |
| Reference:
|
[3] A. Lešanovský: Stochastical ordering in a two-unit standby redundant system with three states of units.To appear in the journal Mathematische Operationsforschung und Statistik - Series Optimization. MR 0757139 |
| Reference:
|
[4] D. Stoyan: Qualitative Eigenschaften und Abschätzungen stochastischer Modelle.Akademie-Verlag, Berlin (1977). Zbl 0395.60082, MR 0455157 |
| . |
