A system has five components with MTBFs 5000 15000 2000 7000

A system has five components with MTBF\'s 5000, 15000, 2000, 7000, 12000, and 4000 hours respectively. What are the lambdas for each component? What is the lambda for the composite system? What is the MTBF for the composite system?

Solution

Components, A, B, C,D and E each with MTBF of
5000,15000,2000,7000 and 12000 hours respectively, using this
method, the MTBF of the system is calculated as:
Lambda A = 4,000,000 / 5,000 = 800
Lambda B = 4,000,000 / 15,000 = 266.6
Lambda C = 4,000,000 / 2000 = 2000
Lambda D = 4,000,000 / 7000 = 571.42
Lambda E = 4,000,000 / 12000 = 333.33
Lambda (composite system) = 800+266.6+2000+571.42+333.33 = 3971.35
MTBF (composite system) = 4,000,000 / 3971.35= 1007 hours
This is a relatively simple example. A system 10\'s or hundreds of
components can be calculated in the same way.

lambdas for each component

A - 800
B - 266
C - 2000
D - 571.42
E - 333.33

Lambda composite system = 3971.35
MTBF composite system = 1007