Some examples of non-monotonicities in a two-unit redundant system
Aplikace matematiky (1984)
- Volume: 29, Issue: 2, page 143-148
- ISSN: 0862-7940
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topLešanovský, Antonín. "Some examples of non-monotonicities in a two-unit redundant system." Aplikace matematiky 29.2 (1984): 143-148. <http://eudml.org/doc/15341>.
@article{Lešanovský1984,
abstract = {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.},
author = {Lešanovský, Antonín},
journal = {Aplikace matematiky},
keywords = {times to system failure; cold-standby redundant system; times to system failure; cold-standby redundant system},
language = {eng},
number = {2},
pages = {143-148},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some examples of non-monotonicities in a two-unit redundant system},
url = {http://eudml.org/doc/15341},
volume = {29},
year = {1984},
}
TY - JOUR
AU - Lešanovský, Antonín
TI - Some examples of non-monotonicities in a two-unit redundant system
JO - Aplikace matematiky
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 2
SP - 143
EP - 148
AB - 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.
LA - eng
KW - times to system failure; cold-standby redundant system; times to system failure; cold-standby redundant system
UR - http://eudml.org/doc/15341
ER -
References
top- A. Lešanovský, Analysis of a two-unit standby redundant system with three states of units, Apl. mat. 27 (1982), 192-208. (1982) MR0658002
- 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. (1982) MR0674980
- 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. MR0757139
- D. Stoyan, Qualitative Eigenschaften und Abschätzungen stochastischer Modelle, Akademie-Verlag, Berlin (1977). (1977) Zbl0395.60082MR0455157
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