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.