An intelligent decision support system for solving optimized geometric design problems

Abstract

An integrated intelligent approach for solving geometric design problems is studied. A general optimization placement problem of arbitrary shaped objects in a bounded container is formulated as a mathematical programming problem in terms of the phi-function technique. Various technological requirements (geometric and mechanical) are considered, including continuous translations and rotations of the objects, allowable distances between objects, prohibited zones in the container, balancing conditions, mechanical strength constraints. Solution strategies, methods, and algorithms to solve different variants of the model are discussed and illustrated with examples.