My Math Forum Probability of flow of electric current.

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May 28th, 2011, 06:09 AM   #1
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Probability of flow of electric current.

Given failure intensities: $\lambda_1=\lambda_2=0.05, \; \lambda_2=\lambda_3=\lambda_4=\lambda_5=0.08, \; \lambda_6=\lambda_7=0.0178$ (nominal state). After burnout of any element intensity of electric current in other $i$-th element increases $n_i$ times and failure intensity increases $n_i^2$ times ($\lambda_i \leftarrow n_i^2 \cdot \lambda_i$). Find algorithm (description) of computing probability that current will flow through the system at any given time $T>0$.

Probability (at nominal state) that $i$-th will not burnout before $t\ge 0$ is $e^{-\lambda_i t}$.

Does anybody have any idea?
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 June 4th, 2011, 05:31 PM #2 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 See this. Could you show your solution?

 Tags current, electric, flow, probability

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