ReliabilityProblem33

class ReliabilityProblem33(threshold=0.0, mu=[0.0, 0.0, 0.0], sigma=[1.0, 1.0, 1.0])

Methods

computeBeta()	Return the beta of the reliability problem.
getEvent()	Return the event.
getName()	Return the name of the problem.
getProbability()	Return the probability.
toFullString()	Convert the object into a string, with full details.

__init__(threshold=0.0, mu=[0.0, 0.0, 0.0], sigma=[1.0, 1.0, 1.0])

Creates a reliability problem RP33.

The event is {g(X) < threshold} where

g(x1, x2, x3) = min(g1, g2) with

g1 = -x1 - x2 - x3 + 3 * sqrt(3)

g2 = -x3 + 3

We have :

x1 ~ Normal(mu[0], sigma[0])

x2 ~ Normal(mu[1], sigma[1])

x3 ~ Normal(mu[2], sigma[2]).

Parameters:

thresholdfloat

The threshold.

musequence of floats

The list of 3 items representing the means of the gaussian distributions.

sigmafloat

The list of 3 items representing the standard deviations of the gaussian distributions.

computeBeta()

Return the beta of the reliability problem.

This is the quantile of the probability of a standard gaussian distribution.

Parameters:

None.

Returns:

beta: float

The beta of the problem.

getEvent()

Return the event.

Parameters:

None.

Returns:

event: ot.ThresholdEvent

The event.

getName()

Return the name of the problem.

Parameters:

None.

Returns:

name: str

The name of the problem.

getProbability()

Return the probability.

Parameters:

None.

Returns:

probability: float

The probability of the event.

toFullString()

Convert the object into a string, with full details.

Parameters:

None.

Returns:

s: str

The string of the problem.