2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231218We identify a new and important global (or non-binary) constraint. This constraint ensures that the values taken by two vectors of variables, when viewed as multisets, are ordered. This constraint is useful for a number of different applications including breaking symmetry and fuzzy constraint satisfaction. We propose and implement an efficient linear time algorithm for enforcing generalised arc consistency on such a multiset ordering constraint. Experimental results on several problem domains show considerable promise.Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI-03)Artificial IntelligenceI.2.4text