Problem4 The fire department has a number of failures wit cost of each failu per
ID: 375542 • Letter: P
Question
Problem4 The fire department has a number of failures wit cost of each failu performi h its oxygen masks and is evaluating the possibility of s preventive maintenance to the manufacturer. Because of the risk associated with a failure, the alure is estimated at Rp 27,500,000. The current maintenance policy (with station employees ng maintenance) has yielded the following history: Number of breakdowns Numberofyearsinwhichbreakdownsoccured 4-3 11551-0 The manufactur service is Rp 65,000,000 per year. er will guarantee repairs on any and all failures as part of a service contract. The cost of this What is the expected number of breakdowns per year with station employees performing maintenance? a) b) What is the cost of the current maintenance policy? c) What is the more economical policy?Explanation / Answer
Please find answer to problem 3 :
Reliability of product design A :
Reliability of product design A
= reliability of R1 x reliability of R2 x reliability of R3 x reliability of R4
= 0.99 X 0.95 X 0.998 X 0.995 = 0.9339
Reliability of Product design B :
Reliability of R3 with redundant attachment = 1 – ( 1 – 0.985) x ( 1 – 0.95) = 1 - 0.015x0.05 = 1 – 0.00075 = 0.99925
Reliability of R4 with redundant attachment = 1 – ( 1 – 0.99) x ( 1 – 0.99) = 1 - 0.01 x 0.01 = 1 – 0.0001 = 0.9999
Therefore , reliability of product design B with R1, R2, R3 with redundant connection and R4 with redundant connection in series
= Reliability of A x Reliability of B x Reliability of R3 with redundant attachment x reliability of R4 with redundant attachment
= 0.99 x 0.95 x 0.99925 x 0.9999
= 0.9397
RELIABILITY OF PRODUCT DESIGN A = 0.9339
RELIABILITY OF PRODUCT DESIGN B = 0.9397
RELIABILITY OF PRODUCT DESIGN A = 0.9339
RELIABILITY OF PRODUCT DESIGN B = 0.9397
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