About Casting 2D-Bin Packing into Network Flow Theory

Alain Quilliot (1) , Hélène Toussaint (1)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes

In this paper, we aim at making appear the way Flow and Multicommodity Flow Theory may be used in order to deal with combinatorial geometry problems like the 2D-Bin Packing problem. In order to do it, we introduce a notion of no circuit double flow, we state a Reformulation Theorem which ties some multicommodity flow model with a given bin-packing problem, and we provide an algorithm whose purpose is to study the way one may deal with the no circuit constraint which is at the core of our multicommodity flow.

Mots clés: Network Flow Theory; Multi-commodity Flow; Graphs; 2D-Bin Packing

Domaines: Recherche opérationnelle [math.OC]

Alain Quilliot, Hélène Toussaint. About Casting 2D-Bin Packing into Network Flow Theory. 2010. ⟨hal-00679046⟩