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

Luc Libralesso (1) , Florian Fontan (1)

1 G-SCOP_ROSP - Recherche Opérationnelle pour les Systèmes de Production

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 Memory Bounded A* (MBA*) 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.

Domaines: Intelligence artificielle [cs.AI]

Luc Libralesso, Florian Fontan. An anytime tree search algorithm for the 2018 ROADEF/EURO challenge glass cutting problem. 2020. ⟨hal-02531037⟩