Park
Park and Kim (2015) Penalty-Function-with-Memory state for one (design point, constraint): the number of visits, the cumulative standardized measure of violation (the sum of the per-visit measures), and the current penalty-sequence value. The snapshot is immutable; a new one is produced at each visit and carried on the Solution, so it persists across visits via the solution cache.
Parameters
the number of visits accumulated so far
the running sum of the per-visit standardized measures (Park and Kim 2015, Section 3.1)
the current penalty-sequence value for this solution and constraint
Properties
The sample-mean standardized measure of violation S = (1 / visitCount) * cumulativeZeta (Park and Kim 2015, Section 3.1); 0 when there have been no visits. A positive value indicates apparent infeasibility, magnified as more observations accumulate.