## Milan Banković - Solving finite-domain linear constraints in presence of the $\texttt{alldifferent}$

lmcs:2016 - Logical Methods in Computer Science, April 27, 2017, Volume 12, Issue 3 - https://doi.org/10.2168/LMCS-12(3:5)2016
Solving finite-domain linear constraints in presence of the $\texttt{alldifferent}$

Authors: Milan Banković

In this paper, we investigate the possibility of improvement of the widely-used filtering algorithm for the linear constraints in constraint satisfaction problems in the presence of the alldifferent constraints. In many cases, the fact that the variables in a linear constraint are also constrained by some alldifferent constraints may help us to calculate stronger bounds of the variables, leading to a stronger constraint propagation. We propose an improved filtering algorithm that targets such cases. We provide a detailed description of the proposed algorithm and prove its correctness. We evaluate the approach on five different problems that involve combinations of the linear and the alldifferent constraints. We also compare our algorithm to other relevant approaches. The experimental results show a great potential of the proposed improvement.

Volume: Volume 12, Issue 3
Published on: April 27, 2017
Submitted on: July 31, 2015
Keywords: Computer Science - Logic in Computer Science,Computer Science - Artificial Intelligence,68T27, 68T15,F.4.1