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.