A GRASP algorithm for constrained two-dimensional non-guillotine cutting problems

A GRASP algorithm for constrained two-dimensional non-guillotine cutting problems

This paper presents a greedy randomized adaptive search procedure (GRASP) for the constrained two-dimensional non-guillotine cutting problem, the problem of cutting the rectangular pieces from a large rectangle so as to maximize the value of the pieces cut. We investigate several strategies for the constructive and improvement phases and several choices for critical search parameters. We perfor...

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 population heuristic for constrained two-dimensional non-guillotine cutting

Applying Backtracking Heuristics for Constrained Two-Dimensional Guillotine Cutting Problems

The Backtracking Heuristic (BH) methodology consists in to construct of items by combination between heuristics that solve mathematical programming models, and backtrack search algorithm to figure out the best heuristics and their best ordering. BH was firstly introduced in the literature in order to solve three-dimensional Knapsack Loading Problems, showing promising results. In this present w...

An Algorithm for Two Dimensional Cutting Stock Problems with Demand

In this paper, two-dimensional cutting stock problem with demand has been studied.In this problem, cutting of large rectangular sheets into specific small pieces should be carried out hence, the waste will be minimized. Solving this problem is important to decrease waste materials in any industry that requires cutting of sheets. In most previus studies, the demand of pieces has not been usually...