Approximating a Loading-Dependent Cascading Failure Model With a Branching Process

Janghoon Kim, Ian Dobson
<span title="">2010</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/et7hjqz36jfnjaenyti2fjiq6m" style="color: black;">IEEE Transactions on Reliability</a> </i> &nbsp;
We quantify the closeness of the approximation between two high-level probabilistic models of cascading failure. In one model called CASCADE, failing components successively load the unfailed components, whereas the other model is based on a Galton-Watson branching process. Both models are generic, idealized models of cascading failure of a large, but finite number of components. For suitable parameters, the distributions of the total number of failures from the branching process and CASCADE
more &raquo; ... els are close enough to make the branching process a useful approximation.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tr.2010.2055928">doi:10.1109/tr.2010.2055928</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kwddzmni4rb2xhsloczmtfxsj4">fatcat:kwddzmni4rb2xhsloczmtfxsj4</a> </span>
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