Question $2$

$1.$ As a logistics engineer, you will be asked to work with intricate mathematical models to prevent and fix some system failures to handle some of the issues raised in question

$1.$ Give a brief explanation of each of the identified models along with a real$-$world example of how to use it$.$

$$ mean time between failures $($MTBF$),$

$$ mean time to failure $($MTTF$),$ mean time to repair $($MTTR$),$

$$ failure mode and effects analysis $($FMEA$),$

$$ statistical distributions,

$$ queueing theory

$[10]$

$2.$ Explain the difference between System reliability and system availability giving their mathematical expressions