The following information is known for a given system: 1. The total System Operating time for...
The following information is known for a given system: 1. The total System Operating time for a designated period is 10,000 hours 2. The corrective maintenance rate is .004 maintenance action per hour of system operation 3. The perventive maintenance rate is .001 maintenance action per hour of system operation 4. The average downtime per maintenance action is 50 hours with a mean downtime of 5 hours for corrective maintenance
a. Calculate the following: MTBF, MTBM, Ai, Ao?
b. What is the relability for 100 hours of operation
c. Assume that the operational availability requirement for the system is .8. Lets say that the actual demonstrated MTBM is 100 hour which is less than the calculated value above. Given this condition, what is the new Ao value? What corrective action action needs to be taken to maintain mission availability requirements (in other words retain an Ao value of .80)?
Homework Answers
Answer A;- In the question the data is given as below:-
Operating time=10,000 hrs.
Corrective maintenance rate =0.004
Therefore total correct maintenance = 10000*0.004=40
ʎ = total number of failures / total operating hours
ʎ = 40 / 10000 =0.004
rate of preventive maintenance =0.001
So total corrective maintenance =10000*0.001 =10
Total number of maintenance = 40+10 =50
MTBF= 1/ ʎ = 1/0.004 =250 hours
Total down time during corrective maintenance =total corrective maintenance * average downtime =40*5=200
Average Downtime for preventive maintenance=50-5=45 hours
total down time for preventive maintenance = 45*10 = 450 hours
Total downtime = 450+200 = 650 hours
Up time = 10000-650 = 9350 hours
MTBM = uptime / total maintenance =9350/50=187
MTTR= total down time / total maintenance =650/40=16.25 hr
Ai= MTBDF / (MTBF+MTTR) = 250/(250+16.25) =0.939
Ao = MTBM/(MTBM+MDT) =187/(187+50) =0.789
Answer b;- For 100 hour operation, reliability=
e-λt=e(-0.04*100)=0.67
Answer C: In the question
MTBM= 100
MDT= 50
Ao = MTBM/(MTBM+MDT) =100/(100+50) =0.667
Thus it is clear that we have to decrease MDT to improve the value of Ao.
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