Implementing artificial intelligence search methods to solve constrained two-dimensional guillotine-cut cutting stock problems

Thesis (Ph.D. (Computer Science))--North-West University, Potchefstroom Campus, 2004.The main focus of this thesis will be on the constrained two dimensional guillotine-cut cuffing stock (C2DGC) problem. Stock cutting involves the process of cutting certain small demand items from a larger object. During this process, waste material is generated, which is called trim loss. The cutting stock problem presents itself in many industrial processes where the cutting of material is concerned, for instance the cutting of wood in the furniture industry, the cutting of glass and plastic sheets in the glass industry, the cutting of paper in the cardboard industry and the cutting of steel bars in metallurgy, to name but a few. The cutting stock problem aims to find one or more solutions to a cutting problem so that the optimal amount of the stock sheet is utilized. This, in turn, implies that the trim loss (waste) will be kept to a minimum. Artificial intelligence search methods as well as existing exact C2DGC problem solution methods are investigated and evaluated critically. Different artificial intelligence search methods are then combined with the existing C2DGC problem solution methods, forming feasible algorithms to solve C2DGC problems. Existing C2DGC problem solution methods are also enhanced using innovative ideas. Numerical tests are then conducted to test the effectiveness and efficiency of each original and enhanced algorithm.Doctora