Using Auxiliary Variables and Implied Constraints to Model Non-binary Problems
Proceedings AAAI-2000, pp. 182-187, 2000.
Barbara M Smith, Kostas Stergiou and Toby Walsh
Abstract
We perform an extensive theoretical and empirical analysis of the use of auxiliary
variables and implied constraints in modelling a class of non-binary constraint
satisfaction problems called problems of distance. This class of problems include
1-d, 2-d and circular Golomb rulers. We identify a large number of different models,
both binary and non-binary, and compare theoretically the level of consistency
achieved by generalized arc consistency on them. Our experiments show that the
introduction of auxiliary variables and implied constraints can significantly
reduce the size of the search space. For instance, our final models reduce
the time to find an optimal 10-mark Golomb ruler 50-fold.
Back to "Barbara Smith
- Publications on Constraint Programming"