Novel Methods Generated by Genetic Programming for the Guillotine-Cutting Problem

Iterated Local Search Algorithm for the Constrained Two-Dimensional Non-Guillotine Cutting Problem

An Iterated Local Search method for the constrained two-dimensional non-guillotine cutting problem is presented. This problem consists in cutting pieces from a large stock rectangle to maximize the total value of pieces cut. In this problem, we take into account restrictions on the number of pieces of each size required to be cut. It can be classified as 2D-SLOPP (two dimensional single large o...

A New Graph-Theoretical Model for the Guillotine-Cutting Problem

We consider the problem of determining whether a given set of rectangular items can be cut from a larger rectangle using so-called guillotine cuts only. We introduce a new class of arc-colored directed graphs called guillotine graphs and show that each guillotine graph can be associated with a specific class of pattern solutions that we term a guillotine-cutting class. The properties of guillot...

A DC programming approach for the constrained two - dimensional non - guillotine cutting problem ⋆

We investigate a new application of DC (Difference of Convex functions) programming and DCA (DC Algorithm) in solving the constrained two-dimensional non-guillotine cutting problem. This problem consists of cutting a number of rectangular pieces from a large rectangular object. The cuts are done under some constraints and the objective is to maximize the total value of the pieces cut. We reform...

A DC programming approach for constrained two-dimensional non-guillotine cutting problem

We investigate a new application of DC (Difference of Convex functions) programming and DCA (DC Algorithm) in solving the constrained two-dimensional non-guillotine cutting problem. This problem consists of cutting a number of rectangular pieces from a large rectangular object. The cuts are done under some constraints and the objective is to maximize the total value of the pieces cut. We reform...

Parallelisation of the Two-dimensional Guillotine Strip Packing/Cutting Problem