TY - GEN
T1 - The next best solution
AU - Brafman, R.
AU - Pilotto, E.
AU - Rossi, F.
AU - Salvagnin, D.
AU - Venable, K. B.
AU - Walsh, T.
N1 - Funding Information:
This research is partially supported by the Italian MIUR PRIN project 20089M932N: “Innovative and multidisciplinary approaches for constraint and preference reasoning”.
Publisher Copyright:
Copyright © 2011, Association for the Advancement of Artificial Intelligence (www.aaai.org). All rights reserved.
PY - 2011/11/2
Y1 - 2011/11/2
N2 - We study the computational complexity of finding the next most preferred solution in some common formalisms for representing constraints and preferences. The problem is computationally intractable for CSPs, but is polynomial for tree-shaped CSPs and tree-shaped fuzzy CSPs. On the other hand, it is intractable for weighted CSPs, even under restrictions on the constraint graph. For CP-nets, the problem is polynomial when the CP-net is acyclic. This remains so if we add (soft) constraints that are tree-shaped and topologically compatible with the CP-net.
AB - We study the computational complexity of finding the next most preferred solution in some common formalisms for representing constraints and preferences. The problem is computationally intractable for CSPs, but is polynomial for tree-shaped CSPs and tree-shaped fuzzy CSPs. On the other hand, it is intractable for weighted CSPs, even under restrictions on the constraint graph. For CP-nets, the problem is polynomial when the CP-net is acyclic. This remains so if we add (soft) constraints that are tree-shaped and topologically compatible with the CP-net.
UR - http://www.scopus.com/inward/record.url?scp=80055057829&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:80055057829
SN - 9781577355090
T3 - Proceedings of the National Conference on Artificial Intelligence
SP - 1537
EP - 1540
BT - AAAI-11 / IAAI-11 - Proceedings of the 25th AAAI Conference on Artificial Intelligence and the 23rd Innovative Applications of Artificial Intelligence Conference
PB - AAAI press
T2 - 25th AAAI Conference on Artificial Intelligence and the 23rd Innovative Applications of Artificial Intelligence Conference, AAAI-11 / IAAI-11
Y2 - 7 August 2011 through 11 August 2011
ER -