Unifying Arc Consistency for Semiring-Based Constraint Satisfaction and Optimization
Tomáš Werner
22nd Conf. on Operational Research, Prague
July, 2007
Abstract
(Soft) constraint satisfaction problems are general problems of
combinatorial optimization. They can be uni ed by algebraic
formulation, e.g., by using two abstract operations forming a
commutative semiring. A fundamental concept to tackle the crisp CSP is
arc consistency. We generalize arc consistency to some soft CSPs and
formulate it the semiring framework. We newly introduce sum-product
arc consistency and give its relation to max-sum arc consistency and
optimal max-sum arc consistency. We give a criterion that decreases
after every arc consistency iteration.
Bibtex entry
@Proceedings{Werner-EURO07,
author = {Tom{\'a}{\vs} Werner},
title = {Unifying Arc Consistency for Semiring-Based Constraint Satisfaction and Optimization},
month = {July},
year = {2007},
booktitle = {22nd Conf. on Operational Research, Prague},
note = {Invited talk.},
annote = {(Soft) constraint satisfaction problems are general
problems of combinatorial optimization. They can be uni ed by
algebraic formulation, e.g., by using two abstract operations
forming a commutative semiring. A fundamental concept to tackle the
crisp CSP is arc consistency. We generalize arc consistency to some
soft CSPs and formulate it the semiring framework. We newly
introduce sum-product arc consistency and give its relation to
max-sum arc consistency and optimal max-sum arc consistency. We give
a criterion that decreases after every arc consistency
iteration.},
}