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An anytime tree search algorithm for the 2018 ROADEF/EURO challenge glass cutting problem

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  • Libralesso, Luc
  • Fontan, Florian

Abstract

In this article, we present the anytime tree search algorithm we designed for the 2018 ROADEF/EURO challenge glass cutting problem proposed by the French company Saint-Gobain. The resulting program was ranked first among 64 participants. Its key components are: a new search algorithm called Iterative Memory Bounded A* (IMBA*) with guide functions, a symmetry breaking strategy, and a pseudo-dominance rule. We perform a comprehensive study of these components showing that each of them contributes to the algorithm global performances. In addition, we designed a second tree search algorithm fully based on the pseudo-dominance rule and dedicated to some of the challenge instances with strong precedence constraints. On these instances, it finds the best-known solutions very quickly.

Suggested Citation

  • Libralesso, Luc & Fontan, Florian, 2021. "An anytime tree search algorithm for the 2018 ROADEF/EURO challenge glass cutting problem," European Journal of Operational Research, Elsevier, vol. 291(3), pages 883-893.
    • Handle: RePEc:eee:ejores:v:291:y:2021:i:3:p:883-893
    DOI: 10.1016/j.ejor.2020.10.050
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    Cited by:

    1. Polyakovskiy, Sergey & M’Hallah, Rym, 2022. "A lookahead matheuristic for the unweighed variable-sized two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 299(1), pages 104-117.
    2. Parreño-Torres, Consuelo & Alvarez-Valdes, Ramon & Parreño, Francisco, 2022. "A beam search algorithm for minimizing crane times in premarshalling problems," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1063-1078.
    3. Braam, Florian & van den Berg, Daan, 2022. "Which rectangle sets have perfect packings?," Operations Research Perspectives, Elsevier, vol. 9(C).
    4. Fontaine, Romain & Dibangoye, Jilles & Solnon, Christine, 2023. "Exact and anytime approach for solving the time dependent traveling salesman problem with time windows," European Journal of Operational Research, Elsevier, vol. 311(3), pages 833-844.
    5. Rapine, Christophe & Pedroso, Joao Pedro & Akbalik, Ayse, 2022. "The two-dimensional knapsack problem with splittable items in stacks," Omega, Elsevier, vol. 112(C).

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