Constrained Three-Dimensional Component Layout Using Simulated Annealing

Abstract

This research introduces a computational algorithm that uses simulated annealing to optimize three-dimensional component layouts. General component layout problems are characterized by three objectives: achieving high packing density, fitting components into a given container and satisfying spatial constraints on components. This paper focuses on the extension of a simulated annealing packing algorithm to a general layout algorithm through the implementation of a language of spatial constraints that are characteristic of layout problems. These constraints allow the designer to specify desired component proximities or to restrict translation or rotation of components based on a global origin or set of coordinate axes, or relative to other component locations or orientations. The layout of components from a cordless power drill illustrates the algorithm.