StandbyDistribution

StandbyDistribution[dist1,{dist2,,distn}]
represents a standby distribution with component lifetime distributions . When component fails, component will become active.

StandbyDistribution[dist1,{dist2,,distn},p]
represents a standby distribution where switching from component to component succeeds with probability p.

StandbyDistribution[dist1,{dist2,,distn},sdist]
represents a standby distribution where the switch component has lifetime distribution sdist.

StandbyDistribution[dist1,{,{disti,inactive,disti,active},},]
represents a standby distribution where the ^(th) component lifetime distribution follows in inactive mode and in active mode.

DetailsDetails

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Define a cold standby system with perfect switching:

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Compute its PDF:

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Mean time to failure:

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Compare to a non-standby system:

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Define a cold standby system with imperfect switching:

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Compute its PDF:

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Mean time to failure:

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Compare to a non-standby system:

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Define cold and warm standby systems, with inactive failure rate half the active failure rate:

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Compute the mean time to failure:

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Compare the survival functions:

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Introduced in 2012
(9.0)