MTTFS
The quantity MTTF ( ) can be obtained from equation (4.8a) using the relationship expressed in System MTTF and Failure Rates with No Maintenance, i.e.:
which, because μ>>λ, can to a good approximation, be written in the form:
However, if μ=0, equation (4.9a) becomes , a fundamental result.
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This result can also be obtained by integrating the right-hand side of equation 2.10 fromt=0 to t=∞ and letting λAB=λ.