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Applying Backtracking Heuristics for Constrained Two-Dimensional Guillotine Cutting Problems

  • Luiz Jonatã
  • Piresde Araújo
  • Plácido Rogério Pinheiro
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)

Abstract

The Backtracking Heuristic (BH) methodology consists in to construct blocks of items by combination beetween heristics, that solve mathematical programming models, and backtrack search algorithm to figure out the best heuristics and their best ordering. BH has been re- cently introduced in the literature in order to solve three-dimensional Knapsack Loadin Problems, showing promising results. In the present Work we apply the same methodology to solve constrained two-dimensional Guillotine cutting problems. In order to assess the potentials of this novel ersion also for cutting problems, we conducted computational experiments on a set of difficult and well known benchmark instances.

Keywords

Cutting Problems Backtracking Integer Programming 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Luiz Jonatã
    • 1
  • Piresde Araújo
    • 1
  • Plácido Rogério Pinheiro
    • 1
  1. 1.Graduate Program in Applied InformaticsUniversity of Fortaleza(UNIFOR)FortalezaBrazil

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