A Perspective of Hierarchical Layout Design Optimization for Highly Packaged Equipments
This paper discusses a perspective of hierarchical layout design optimization for highly packaged equipments and demonstrates an implementation of an optimization algorithm with a simplified case study. First, the Pareto optimality of subsystem-level shape design against the optimality of system-level shape design is extracted through two-level hierarchical formulation of layout design problems. Then, a computational design algorithm is developed for a class of two-dimensional layout design problems of rectangles, some of which are the results of similar problems defined in its sub-levels. The algorithm represents the layout topology with sequence-pair and the shape of each module or component with the aspect ratio, and optimizes them with genetic algorithms. The Pareto optimality of sub-levels is handled with the functionality of multi-objective optimization of genetic algorithms, in which a set of Pareto are simultaneously generated. Top-level and sub-level layout problems are coordinated through exchange of preferable ranges of shapes and layout. A case study is explored under the developed algorithm. The promises and limitations of the proposed framework is briefly discussed for defining the future works.