This paper presents an innovative methodology to efficiently schedule design automation tasks during the execution of an analog IC layout-aware sizing process. The referred synthesis process includes several sub-tasks such as DC simulation, floorplanning, placement, global routing, parasitic extraction, and circuit simulations in multiple worst case corners. The schedule of the design tasks is here optimized taking into account standard multi-core architectures, tasks dependencies, accurate time estimations for each task and a limited number of licenses for using commercial tools, e.g., number of simulator licenses. The proposed methodology, first, considers a directed acyclic graph for representing the design flow and task dependencies, then, an evolutionary kernel is used to implement a single-objective multi-constraint optimization. The efficiency and impact of the proposed approach is validated by using a state-of-the-art Analog IC design automation environment.