Approximations to the lifetime distribution of k-out of-n systems with cold standby

Approximations to the lifetime distribution of k-out of-n systems with cold standby

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Article ID: iaor1989489
Country: United States
Volume: 14
Issue: 3
Start Page Number: 485
End Page Number: 501
Publication Date: Aug 1989
Journal: Mathematics of Operations Research
Authors: ,
Abstract:

The authors consider several approximations to the lifetime distribution of general k-out-of-n systems with cold standby, when n becomes large. The approximations are derived from limiting results for N(t), the number of failures in [0,t], when t⇒•. The approximations can be easily evaluated even though the derivation of the limiting result is rather technical, due to the discrete character of N(t). Numerical work shows excellent agreement with the theoretical error structure of the approximations.

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