reliability engineering 4 A parallel system consists of 3 co

reliability engineering

4. A parallel system consists of 3 components A, B, and C. If the reliabilities of three components are RA = 0.9, RB=0.8 and RC=0.7, find the system reliability. If the components follow exponential probability density function for failures with average failure rate, 0.001 failure/hour, what is the MTBF for the system? (25 points)

Solution

The reliability of the parallel system is =1-Qp

where Qp =(1-Q1)(1-Q2)----(1-Qn)

                =(1-.9)(1-.8)(1-.7)

                =.006

The reliability =1-.006 =.994

b)We have the formula for the MTBF =TOTAL time/Numner of failiure = 1/.001 =1000 failure /hour