6533b7d7fe1ef96bd1268ca6

RESEARCH PRODUCT

A tabu search algorithm for a two-dimensional non-guillotine cutting problem

Francisco ParreñoJosé Manuel TamaritRamón Alvarez-valdés

subject

Mathematical optimizationInformation Systems and ManagementGeneral Computer ScienceManagement Science and Operations ResearchIndustrial and Manufacturing EngineeringTabu searchSearch algorithmCutting stock problemModeling and SimulationCombinatorial optimizationRectangleHeuristicsAlgorithmMathematics

description

In this paper we study a two-dimensional non-guillotine cutting problem, the problem of cutting rectangular pieces from a large stock rectangle so as to maximize the total value of the pieces cut. The problem has many industrial applications whenever small pieces have to be cut from or packed into a large stock sheet. We propose a tabu search algorithm. Several moves based on reducing and inserting blocks of pieces have been defined. Intensification and diversification procedures, based on long-term memory, have been included. The computational results on large sets of test instances show that the algorithm is very efficient for a wide range of packing and cutting problems.

https://doi.org/10.1016/j.ejor.2005.11.068