Using adaptive integration of variables algorithm for analysis and optimization of 2d irregular nesting problem

Abstract

In this article a new evolutionary technique using 2D irregular-shaped nesting problem optimization algorithm applied on material cutting processes having processes like cutting of irregular foils pieces and complex geometrical shapes is proposed. This technique is adaptive and improves results of material cutting process and its optimization in comparison to other methods reflected in the earlier literature. A formalization and mathematical modelling are based on CAD/CAPP/CAM/CAP integration methodology for irregular two-dimensional pieces produced as a multilevel optimization with constraints of component part and the bi-level distribution and cutting process on foils. The decision of selection and the final solutions using adaptive algorithm based on dynamical modification of the objectives during the pieces’ distribution and using the population obtained for the elaboration of cutting trajectories of the cutter device. This procedure defines a new approach for the bi-level optimization of geometric iterative increasing polygon pieces’ configurations using the particular case of the Integration of Variables method called Exploration of a Function of Variable Codes algorithm. As final result a new optimal manufacturing integration scheme that include human-machine interaction as a component part is deducted.