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Statistical static timing analysis (SSTA) is studied from the point of viewof mathematical optimization. We present two formulations of the problem offinding the critical path delay distribution that were not known before: (i) aformulation of the SSTA problem using Binary--Integer Programming and (ii) apractical formulation using Geometric Programming. For simplicity, we usehistogram approximation of the distributions. Scalability of the approaches isstudied and possible generalizations are discussed.

Statistical static timing analysis via modern optimization lens: I. Histogram-based approach