*Project*

NAME:
**Validation examples.sbmx**

DESCRIPTION

These diagrams (fault trees) demonstrate the logical rules for fault trees. The top events (events on the right-hand site) include an explanation of the results in their "descriptions".

*Initial Condition*

NAME:
**Condition 1 Case A**

Probability or Time fraction (<1):
**0.6**

*Initial Condition*

NAME:
**Condition 2 Case A**

Probability or Time fraction (<1):
**0.5**

*Initial Condition*

NAME:
**Condition 3 Case A**

Probability or Time fraction (<1):
**0.4**

*Consequence*

NAME:
**Result Case A**

Probability or Time fraction (<1):
**0.12**

DESCRIPTION

*Initial Condition*

NAME:
**Condition 1 Case B**

Probability or Time fraction (<1):
**0.6**

*Initial Condition*

NAME:
**Condition 2 Case B**

Probability or Time fraction (<1):
**0.5**

*Initial Condition*

NAME:
**Condition 3 Case B**

Probability or Time fraction (<1):
**0.4**

*Consequence*

NAME:
**Result Case B**

Probability or Time fraction (<1):
**0.88**

DESCRIPTION

*Initial Event*

NAME:
**Event 1 Case C**

Expected Frequency of Occurrence per Hour:
**0.6**

*Initial Event*

NAME:
**Event 2 Case C**

Expected Frequency of Occurrence per Hour:
**0.5**

*Initial Event*

NAME:
**Event 3 Case C**

Expected Frequency of Occurrence per Hour:
**0.4**

*Consequence*

NAME:
**Result Case C**

Expected Frequency of Occurrence per Hour:
**1.5**

DESCRIPTION

*Initial Condition*

NAME:
**Condition 1 Case D**

Probability or Time fraction (<1):
**0.6**

*Initial Condition*

NAME:
**Condition 2 Case D**

Probability or Time fraction (<1):
**0.5**

*Initial Event*

NAME:
**Event Case D**

Expected Frequency of Occurrence per Hour:
**0.4**

*Consequence*

NAME:
**Result Case D**

Expected Frequency of Occurrence per Hour:
**0.12**

DESCRIPTION

NAME:
**Copy of Condition 1 Case D**

Probability or Time fraction (<1):
**0.6**

NAME:
**Copy of Condition 2 Case D**

Probability or Time fraction (<1):
**0.5**

*Initial Event*

NAME:
**Event Case E**

Expected Frequency of Occurrence per Hour:
**0.4**

*Consequence*

NAME:
**Result Case E**

Expected Frequency of Occurrence per Hour:
**0.12**

DESCRIPTION

*Intermediate Event*

NAME:
**Event E1**

Expected Frequency of Occurrence per Hour:
**0.24**

*Intermediate Event*

NAME:
**Event E2**

Expected Frequency of Occurrence per Hour:
**0.2**

*Barrier Diagram*

NAME:
**Case A**

DESCRIPTION

validation of the faultr tree assessment of an AND gate

*AND Gate*

NAME:
**AND gate Case A**

*Barrier Diagram*

NAME:
**Case B**

DESCRIPTION

validation of the faultr tree assessment of an OR gate

*OR Gate*

NAME:
**OR Gate Case B**

*Barrier Diagram*

NAME:
**Case C**

DESCRIPTION

validation of the faultr tree assessment of an OR gate using Events

Events as a "change of condition" can not be concurrent (probability of concurrent events is the limit approaching 0)

*OR Gate*

NAME:
**OR Gate Case C**

*Barrier Diagram*

NAME:
**Case D**

DESCRIPTION

validation of the faultr tree assessment of an AND gate with an event input

*AND Gate*

NAME:
**AND gate Case D**

*Barrier Diagram*

NAME:
**Case E**

DESCRIPTION

Validation of the faultr tree assessment of an AND gate with events orginating from the same event. This demonstrates also that one diagram can share inputs (Conditions from Case D) as inputs

*AND Gate*

NAME:
**AND gate E2**

*AND Gate*

NAME:
**AND gate E1**

*AND Gate*

NAME:
**AND gate E3**

Barrier Diagram | Consequence | Prob./Expected Freq. | (Unit) | Severity |
---|---|---|---|---|

Case A | Result Case A | 0.12 | Probability or Time fraction (<1) | |

Case B | Result Case B | 0.88 | Probability or Time fraction (<1) | |

Case C | Result Case C | 1.5 | Expected Frequency of Occurrence per Hour | |

Case D | Result Case D | 0.12 | Expected Frequency of Occurrence per Hour | |

Case E | Result Case E | 0.12 | Expected Frequency of Occurrence per Hour |

Barrier Diagram | Critical Event | Prob./Expected Freq. | (Unit) |
---|

Expected Frequency of Occurrence per Hour | 0: No Consequences | 1: Insignificant Consequences | 2: Noticeable Consequences | 3: Significant Consequences | 4: Serious Consequences | 5.1: Major Accident - <10 fatalities/limited damage to the environment | 5.2: Major Accident - >10 fatalities/extensive damage to the environment | |
---|---|---|---|---|---|---|---|---|

Frequent | More likely than: 1.14155E-5 | |||||||

Probable | Less likely than: 1.14155E-5 | |||||||

Improbable | Less likely than: 1.14155E-7 | |||||||

Very Improbable | Less likely than: 1.14155E-9 |

Barrier | Barrier Diagram | Generic Barrier | Barrier Type | PFD | Description | Generic Management Issue | |
---|---|---|---|---|---|---|---|

Weight | Rating |

Generic Barrier | Barrier Type | PFD | Description | Generic Management Issue | |
---|---|---|---|---|---|

Weight | Rating |

Barrier Type | Description | Generic Management Issue | |
---|---|---|---|

Weight | Rating | ||

Generic Barrier Type | This Minimum template only contains one Generic Barrier Type Please create more Barrier Types as required |

Barrier Element | PFD | Description | Generic Management Issue | |
---|---|---|---|---|

Weight | Rating |

Gate | Barrier Diagram | Gate Type | Description |
---|---|---|---|

AND gate Case A | Case A | AND Gate | |

OR Gate Case B | Case B | OR Gate | |

OR Gate Case C | Case C | OR Gate | |

AND gate Case D | Case D | AND Gate | |

AND gate E2 | Case E | AND Gate | |

AND gate E1 | Case E | AND Gate | |

AND gate E3 | Case E | AND Gate |

Condition | Condition Type | Freq. or Prob. | Unit | Description | Severity |
---|---|---|---|---|---|

Condition 1 Case A | Initial Condition | 0.6 | Probability or Time fraction (<1) | ||

Condition 2 Case A | Initial Condition | 0.5 | Probability or Time fraction (<1) | ||

Condition 3 Case A | Initial Condition | 0.4 | Probability or Time fraction (<1) | ||

Result Case A | Consequence | 0.12 | Probability or Time fraction (<1) | The probability of the logical "AND" combination of 3 inputs is the multiplication of the probabilities, so in this case 0.6 * 0.5 * 0.4 = 0.12 | |

Condition 1 Case B | Initial Condition | 0.6 | Probability or Time fraction (<1) | ||

Condition 2 Case B | Initial Condition | 0.5 | Probability or Time fraction (<1) | ||

Condition 3 Case B | Initial Condition | 0.4 | Probability or Time fraction (<1) | ||

Result Case B | Consequence | 0.88 | Probability or Time fraction (<1) | The probability of the logical "OR" combination of 3 inputs is: The sum of the probabilities of the three conditions (0.6 + 0.5 + 0.4 (= 1.5) ) Minus the probabilities that 1 AND 2 plus 2 AND 3 plus 3 AND 1 are appearing i.e. - [ ( 0.6 * 0.5 ) + ( 0.5 * 0.4 ) + ( 0.4 * 0.6 ) (= 0.74) ] Plus the probability that all three conditions are appearing + (0.6 * 0.5 * 0.4 (=0.12, case A)) total 0.88 | |

Event 1 Case C | Initial Event | 0.6 | Expected Frequency of Occurrence per Hour | ||

Event 2 Case C | Initial Event | 0.5 | Expected Frequency of Occurrence per Hour | ||

Event 3 Case C | Initial Event | 0.4 | Expected Frequency of Occurrence per Hour | ||

Result Case C | Consequence | 1.5 | Expected Frequency of Occurrence per Hour | Events (change in conditions, where the duration of the change is infinitively short) cannot be concurrent (probability of to conditions zero duration is zero), derfor there is no discounting for concurrent occurrence of events. The expected frequency of the logical "OR" combination of 3 events is: The sum of the frequencies of the three events 0.6 + 0.5 + 0.4 = 1.5 events per unit time | |

Condition 1 Case D | Initial Condition | 0.6 | Probability or Time fraction (<1) | ||

Condition 2 Case D | Initial Condition | 0.5 | Probability or Time fraction (<1) | ||

Event Case D | Initial Event | 0.4 | Expected Frequency of Occurrence per Hour | ||

Result Case D | Consequence | 0.12 | Expected Frequency of Occurrence per Hour | One (and only one) of the inputs of an AND gate can be an event (a "change of condition" where the duration of the change is infinitely short) The frequency of the outcome event of the logical "AND" combination of 2 input condition and one input event is the multiplication of the probabilities of the conditions and the frequency of the event, so in this case 0.6 * 0.5 * 0.4 times/hour= 0.12 times/hour. | |

Copy of Condition 1 Case D | Not used in any diagram | 0.6 | Probability or Time fraction (<1) | ||

Copy of Condition 2 Case D | Not used in any diagram | 0.5 | Probability or Time fraction (<1) | ||

Event Case E | Initial Event | 0.4 | Expected Frequency of Occurrence per Hour | ||

Result Case E | Consequence | 0.12 | Expected Frequency of Occurrence per Hour | If and only if the events halfway a diagram originate from the same event, then the program allows that those event may be simultaneous inputs to an AND gate. Indeed _simultaneous_, because these events will then occur together. Note that the logical condition is exactly the same as in case D (The result occurs when the Originating event AND Condition 1 Case D AND Condition 2 Case D occur) . | |

Event E1 | Intermediate Event | 0.24 | Expected Frequency of Occurrence per Hour | ||

Event E2 | Intermediate Event | 0.2 | Expected Frequency of Occurrence per Hour |

Measure | Description | Applies to: Barriers | Applies to: Initial Conditions | Management Issue |
---|

Management Issue | Performance | Description |
---|---|---|

Generic Management Issue | 1 | This Minimum Template only contains one Management Issue Create more Management Issues as required |

Diagram Name | Number of: Barriers | Number of: Gates | Number of: Event Tree Branches | Description |
---|---|---|---|---|

Case A | 0 | 1 | 0 | validation of the faultr tree assessment of an AND gate |

Case B | 0 | 1 | 0 | validation of the faultr tree assessment of an OR gate |

Case C | 0 | 1 | 0 | validation of the faultr tree assessment of an OR gate using Events Events as a "change of condition" can not be concurrent (probability of concurrent events is the limit approaching 0) |

Case D | 0 | 1 | 0 | validation of the faultr tree assessment of an AND gate with an event input |

Case E | 0 | 3 | 0 | Validation of the faultr tree assessment of an AND gate with events orginating from the same event. This demonstrates also that one diagram can share inputs (Conditions from Case D) as inputs |

Event Tree Branch Name | Diagram Name | Number of: Event Tree Branches | Event Tree Branches & Probability | Description |
---|