An automated layout method allows designing advanced integrated circuits with design rules of high complexity. In particular, a hierarchical constrained layout process is applicable and useful for analog and mixed-signal integrated circuit designs and may be based on an incremental concurrent placement and routing. Use of constraints from multiple levels of a circuit description hierarchy allows computationally efficient processing of logical circuit increments and produces high-quality outcomes. Users such as circuit designers can exercise a high degree of predictability and control over the resulting physical layout construction by either user-specified or computer-generated constraints.