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A Θ(n) Bound-Consistency Algorithm for the Increasing Sum Constraint

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Principles and Practice of Constraint Programming – CP 2011 (CP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6876))

Abstract

Given a sequence of variables X = 〈x 0, x 1, …, x n − 1 〉, we consider the IncreasingSum constraint, which imposes ∀ i ∈ [0, n − 2] x i  ≤ x i + 1, and \(\sum_{x_i \in X} x_i = s\). We propose an Θ(n) bound-consistency algorithm for IncreasingSum.

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References

  1. Choco: An open source Java CP library, documentation manual (2011), http://www.emn.fr/z-info/choco-solver/

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© 2011 Springer-Verlag Berlin Heidelberg

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Petit, T., Régin, JC., Beldiceanu, N. (2011). A Θ(n) Bound-Consistency Algorithm for the Increasing Sum Constraint. In: Lee, J. (eds) Principles and Practice of Constraint Programming – CP 2011. CP 2011. Lecture Notes in Computer Science, vol 6876. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23786-7_54

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  • DOI: https://doi.org/10.1007/978-3-642-23786-7_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23785-0

  • Online ISBN: 978-3-642-23786-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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