ReliabilityProblem57

class ReliabilityProblem57(threshold=0.0, mu=[0.0, 0.0], sigma=[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], sigma=[1.0, 1.0])

Creates a reliability problem RP57.

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

g(x1, x2) = min(max(g1, g2), g3) with

g1 = -x1^2 + x2^3 + 3

g2 = 2 - x1 - 8 * x2

g3 = (x1 + 3)^2 + (x2 + 3)^2 - 4

We have x1 ~ Normal(mu[0], sigma[0]) and x2 ~ Normal(mu[1], sigma[1]).

Parameters:

thresholdfloat

The threshold.

musequence of floats

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

sigmafloat

The list of two 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.