Statistical timing analysis via modern optimization lens

11/05/2022

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by   Adam Bosak, et al.

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We formulate statistical static timing analysis (SSTA) as a mixed-integer program and as a geometric program, utilizing histogram approximations of the random variables involved. The geometric-programming approach scales linearly with the number of gates and quadratically with the number of bins in the histogram. This translates, for example, to solving the SSTA for a circuit of 400 gates with 30 bins per each histogram approximation of a random variable in 440 seconds.