# Analysis of a two-unit standby redundant system with three states of units

Aplikace matematiky (1982)

- Volume: 27, Issue: 3, page 192-208
- ISSN: 0862-7940

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topLešanovský, Antonín. "Analysis of a two-unit standby redundant system with three states of units." Aplikace matematiky 27.3 (1982): 192-208. <http://eudml.org/doc/15239>.

@article{Lešanovský1982,

abstract = {A cold-standby redundant system with two identical units and one repair facility is considered. Units can be in three states> good (I), degraded (II), and failed (III). We suppose that only the following state-transitions of a unit are possible: $I\rightarrow II, II\rightarrow III, II\rightarrow I, III\rightarrow I$. The repair of a unit of the type $II \rightarrow I$ can be interpreted as a preventive maintenance. Its realization depends on the states of both units. Several characteristics of the system (probabilities, distribution functions or their Laplace-Stieltjes transforms and mathematical expectations) are derived, e.g. time to system failure, time of non-operating period of the system and stationary-state probabilities of the couple of units of the system.},

author = {Lešanovský, Antonín},

journal = {Aplikace matematiky},

keywords = {cold-standby redundant system; time to system failure; stationarystate probabilities; cold-standby redundant system; time to system failure; stationarystate probabilities},

language = {eng},

number = {3},

pages = {192-208},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Analysis of a two-unit standby redundant system with three states of units},

url = {http://eudml.org/doc/15239},

volume = {27},

year = {1982},

}

TY - JOUR

AU - Lešanovský, Antonín

TI - Analysis of a two-unit standby redundant system with three states of units

JO - Aplikace matematiky

PY - 1982

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 27

IS - 3

SP - 192

EP - 208

AB - A cold-standby redundant system with two identical units and one repair facility is considered. Units can be in three states> good (I), degraded (II), and failed (III). We suppose that only the following state-transitions of a unit are possible: $I\rightarrow II, II\rightarrow III, II\rightarrow I, III\rightarrow I$. The repair of a unit of the type $II \rightarrow I$ can be interpreted as a preventive maintenance. Its realization depends on the states of both units. Several characteristics of the system (probabilities, distribution functions or their Laplace-Stieltjes transforms and mathematical expectations) are derived, e.g. time to system failure, time of non-operating period of the system and stationary-state probabilities of the couple of units of the system.

LA - eng

KW - cold-standby redundant system; time to system failure; stationarystate probabilities; cold-standby redundant system; time to system failure; stationarystate probabilities

UR - http://eudml.org/doc/15239

ER -

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