ReliabilityProblem55¶
- class ReliabilityProblem55(threshold=0.0, a=[-1.0, -1.0], b=[1.0, 1.0])¶
Methods
Return the beta of the reliability problem.
getEvent
()Return the event.
getName
()Return the name of the problem.
Return the probability.
Convert the object into a string, with full details.
- __init__(threshold=0.0, a=[-1.0, -1.0], b=[1.0, 1.0])¶
Creates a reliability problem RP55.
The event is {g(X) < threshold} where
X = (x1, x2)
g1 = 0.2 + 0.6 * (x1 - x2)^4 - (x1 - x2) / sqrt(2)
g2 = 0.2 + 0.6 * (x1 - x2)^4 + (x1 - x2) / sqrt(2)
g3 = (x1 - x2) + 5 / sqrt(2) - 2.2
g4 = (x2 - x1) + 5 / sqrt(2) - 2.2
g(X) = min(g1, g2, g3, g4)
We have x1 ~ Uniform(a[0], b[0]) and x2 ~ Uniform(a[1], b[1]).
- Parameters:
- thresholdfloat
The threshold.
- bsequence of floats
The list of two items representing the upper bounds of the Uniform distribution.
- asequence of floats
The list of two items representing the lower bounds of the Uniform distribution.
- 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.