Displaying similar documents to “Reliability of system with dependent units”

Some examples of non-monotonicities in a two-unit redundant system

Antonín Lešanovský (1984)

Aplikace matematiky

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A cold-standby redundant sytem with two identical units and one repair facility is considered. Units can be in three states: good ( I ) , degraded ( I I ) , and failed ( I I I ) . It is supposed that only the following state-transitions of a unit are possible: I → I I , I I → I I I , I I → I , I I I → 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 I I → I ...

Characterization of the first operating period of a two-unit standby redundant system with three states of units

Antonín Lešanovský (1982)

Aplikace matematiky

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A two-unit cold-standby redundant system with one repair facility is considered. Each unit can be in three states: good (I), degraded (II), and failed (III). We suppose that only the following state-transitions af a unit are possible: I → I I , I I → I I I , I I → I , I I I → I . The paper is devoted to the problems which arise only provided that the units of the redundant system can be in more than two states (i.e. in operating and failed states). The following characteristics dealing with a single operating period of the system...

On optimal replacement policy

Raimi Ajibola Kasumu, Antonín Lešanovský (1983)

Aplikace matematiky

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A system with a single activated unit which can be in k + 1 states is considered. Inspections of the system are carried out at discrete time instants. The process of deterioration of the unit is supposed to be Markovian. The unit by its operation brings an income which is monotonically dependent on its state. A replacement of the unit is associated with certain costs. The paper gives an effective algorithm for finding the replacement strategy maximizing the average income of the system per...

Stability of characterizations of distribution functions using failure rate functions

Maia Koicheva, Edward Omey (1990)

Aplikace matematiky

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Let λ denote the failure rate function of the d , f . F and let λ 1 denote the failure rate function of the mean residual life distribution. In this paper we characterize the distribution functions F for which λ 1 = c λ and we estimate F when it is only known that λ 1 / λ or λ 1 - c λ is bounded.