SYSTEM RELIABILITY

&MTTF

BYMONTE CARLO

TECHNIQUE

Components are existing in ONE of TWO STATES:1 WORKING STATE with probability R0 FAILURE STATE with probability FR+F = 1

RELIABLE FAILURE

FR

Selecting a random number 0<= X<= 1

X lies in the green zone, the component is in State 1 (Working)Otherwise, the component in State 0 (Failure)

How to Generate a Sample of Time To Failure (TTF) of a Components By Monte Carlo Simulation Experiment

TTF

Failure Probability

Selecting a Random Number 0<= X <= 1Put X= Failure Probability anf find TTF

CONSTANT FAILURE RATE

XLnTTF

XeXe

eX

TTFTTF

TTF

111

111

1

Weibull Distribution

1

11

111

1

XLnTTF

XeXe

eXTTFTTF

TTF

42

31

MINIMUM CUT SETS

1,2 and 3,4

2

3

4

11,2 and 3,4 and 1,4 and 2,3

2222

1

3

4

2/41,2,3 and 1,2,4 and 1,3,4 2,3,4