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WOLFRAM|DEMONSTRATIONS PROJECT

System Reliability

​
failure rates
components
C
1
,
C
4
λ
1
0.09
components
C
2
,
C
5
λ
2
0.03
components
C
3
,
C
6
λ
3
0.06
operating time
T
50
show
survival & hazard plots
structures
main system: A ∧ B
subsystem A: (
C
1
∧
C
2
) ∨
C
3
subsystem B:
C
4
∨
C
5
∨
C
6
MTTF
B
= 40.5556
MTTF
A
= 19.4444
MTTF = 15.6361
MTTF
C
1
,
C
4
= 11.1111
MTTF
C
2
,
C
5
= 33.3333
MTTF
C
3
,
C
6
= 16.6667
t
A
= 24.0606
t = 32.8838
t
B
= 42.7206
This Demonstration investigates the impact of particular component failure rates using the Mathematica functions ReliabilityDistribution, SurvivalFunction, and HazardFunction. The main system's and its two subsystems' mean time to failure (MTTF), survival, and hazard functions are investigated. Use the controls to select different component failure rates and operating time and observe the effects on MTTF, survival, and hazard functions.
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