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Assignment 02: Reliability
MSC 385
Dr, Stafford
Fall 2006
Page 2
KEY: Quiz 04 on Assignment 02, Reliability
Dr. Stafford
MSC 385
Fall 2006
The basic computations for this assignment are shown in the following EXCEL spreadsheet Exhibits.
component
A
B
C
Reliability
Part 1
Rsys =
0.
Part 2
0.99360.59120.
Part 3
0.97750.62950.
Part 3
0.91000.71160.
Part 4
0.88380.
Part 5
0.79520.
Backup system with an identical systemRsys'' = Rsys *(1 - Rsys) = ∆
Rsys = Rsys'' - Rsys = Backup All Components with an identical component.Rsys'' = P[A]' *P[B]' *P[C]' = ∆
Rsys = Rsys' - Rsys = Rsys = P[A]P[B]P[C]Backup Component B with an identical component.Backup Component C with an identical component.P[C]' = P[C] + {1- P[C]}P[C] =Rsys' = P[C]' * P[A]P[B] = ∆
Rsys = Rsys' - Rsys = Backup Component A with an identical component.P[A]' = P[A] + {1- P[A]}P[A] =Rsys' = P[A]' * P[B]P[C] = ∆
Rsys = Rsys' - Rsys = P[B]' = P[B] + {1 - P[B]}P[B] =Rsys' = P[B]' * P[A]P[C] = ∆
Rsys = Rsys' - Rsys =
component
A
B
C
Reliability
Part 1
Rsys =
Part 2
Part 3
Part 3
Part 4
Part 5
Backup system with an identical systemRsys'' = Rsys *(1 - Rsys) = ∆
Rsys = Rsys'' - Rsys = ∆
Rsys = Rsys' - Rsys = Backup All Components with an identical component.Rsys'' = P[A]' *P[B]' *P[C]' = ∆
Rsys = Rsys' - Rsys = ∆
Rsys = Rsys' - Rsys = ∆ Backup Component C with an identical component.P[C]' = P[C] + {1- P[C]}P[C] =Rsys' = P[C]' * P[A]P[B] =
Rsys = Rsys' - Rsys = Rsys = P[A]P[B]P[C]Backup Component A with an identical component.P[A]' = P[A] + {1- P[A]}P[A] =Rsys' = P[A]' * P[B]P[C] =Backup Component B with an identical component.P[B]' = P[B] + {1 - P[B]}P[B] =Rsys' = P[B]' * P[A]P[C] =
Assignment 02: Reliability MSC 385 Dr, Stafford Fall 2006 Page 4
Quiz 04-B {White
These first items pertain to Version II of the assigned problem: P[A] = 0.60; P[B] = 0.96; and P[C] = 0.
0.7950 1 What is the reliability of the revised system when an identical system is used to back up the original system?
This is Part 5, and the value = 0.
0.8366 2 What is the overall reliability of the revised system when each component (A, B, and C) has a like component
as its backup?
This is Part 4, and the value = 0.
0.5472 3 What is the overall reliability of the original system with one each of components A, B, and C, and all must work for the device to work?
This is Part 1, and value = 0.
B 4 To which component should we add the first backup identical component in order to increase the system
reliability the most? [A] Component C; [B] Component A ; [C] Component B; [D] none of components A, B, or C; [E] two of components A, B, and C tie for this honor.
Viewing Parts 2 and 3, or from “weakest link” rule, this is component A, and answer = B
C 5 Which of components A, B, and C provides the least gain in systems reliability when an identical backup is added to the system?
[A] Component C; [B] Component A; [C] Component B ; [D] none of components A, B, or C; [E] two of components A, B, and C tie for this honor.
Viewing Parts 2 and 3, this is Component B, and answer = C
These second items pertain to Version I of the assigned problem: P[A] = 0.92; P[B] = 0.85; and P[C] = 0.
B 6 Which of components A, B, and C provides the least gain in systems reliability when an identical backup is
added to the system? [A] Component C; [B] Component A ; [C] Component B; [D] none of components A, B, or C; [E] two of components A, B, and C tie for this honor.
Viewing Parts 2 and 3, this is Component A, and answer = B
A 7 To which component should we add the first backup identical component in order to increase the system reliability the most? [A] Component C; [B] Component A; [C] Component B; [D] none of components A, B, or C; [E] two of
components A, B, and C tie for this honor.
Viewing Parts 2 and 3 or by “weakest link” rule, it is Component C, answer = A
0.5474 8 What is the overall reliability of the original system with one each of components A, B, and C, and all must work for the device to work?
This is Part 1, and value = 0.
0.7952 9 What is the reliability of the revised system when an identical system is used to back up the original system?
This is Part 5, and value = 0.
0.5474 10 What is the overall reliability of the original system with one each of components A, B, and C, and all must work for the device to work?
Same as item 8 above
