Epistemic uncertainty propagation in a Weibull environment for a two-core system-on-chip

Epistemic uncertainty analysis accounts for inaccurate input parameters and evaluates how such uncertainty propagates to output measures. In this work we will focus on Weibull distributions, in particular the one related to the reliability of multi-core systems-on-chips. We focus on a two-core system in which, when one of the cores fails, the other can take care of all the systems' tasks. However, this results in an increased operational temperature that leads to a reduced lifetime. We first discuss the epistemic uncertainty distribution that we expect when we estimate the scale parameter of a Weibull distribution from a limited set of samples. We then extend the procedure to consider the epistemic uncertainty in the two core system-on-chip when we can measure the failure times of the first and of the second core.