English

Multiset Ordering Constraints

Artificial Intelligence 2009-05-26 v1

Abstract

We 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.

Keywords

Cite

@article{arxiv.0905.3769,
  title  = {Multiset Ordering Constraints},
  author = {Alan M. Frisch and Ian Miguel and Zeynep Kiziltan and Brahim Hnich and Toby Walsh},
  journal= {arXiv preprint arXiv:0905.3769},
  year   = {2009}
}

Comments

Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI-03)

R2 v1 2026-06-21T13:05:11.252Z