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arXiv · 1207.1811

The SeqBin Constraint Revisited

George Katsirelos·Nina Narodytska·Toby Walsh
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Abstract

We revisit the SeqBin constraint. This meta-constraint subsumes a number of important global constraints like Change, Smooth and IncreasingNValue. We show that the previously proposed filtering algorithm for SeqBin has two drawbacks even under strong restrictions: it does not detect bounds disentailment and it is not idempotent. We identify the cause for these problems, and propose a new propagator that overcomes both issues. Our algorithm is based on a connection to the problem of finding a path of a given cost in a restricted $n$-partite graph. Our propagator enforces domain consistency in O(nd^2) and, for special cases of SeqBin that include Change, Smooth and IncreasingNValue, in O(nd) time.

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George Katsirelos, Nina Narodytska, Toby Walsh. 2012-07-07. The SeqBin Constraint Revisited. https://arxiv.org/abs/1207.1811

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