System and method for sign-off timing closure of a VLSI chip

A method for performing timing optimization of a detail routed netlist, incorporating statistical variability information, common path pessimism reduction, and capacitative coupling information, in a tightly coupled, incremental manner with minimal perturbations to the placement, routing, and asserted parasitic information. The method corrects violations in a placed and routed design of a VLSI circuit chip, where the design is represented by a netlist describing logical and physical characteristics of the design and by a corresponding timing graph, the method including the steps of: identifying violations in the design; iteratively eliminating the violations by incrementally transforming the logical and the physical characteristics of the design, incorporating in the design only legal placements and routes; and applying incremental timing to evaluate the transformations, and updating the existing timing graphs to reflect changes consisting of the legal placements and routes.