Exploiting Monotonicity in Interval Constraint Propagation

Abstract : We propose in this paper a new interval constraint propagation algorithm, called MOnotonic Hull Consistency (Mohc), that exploits monotonicity of functions. The propagation is standard, but the Mohc-Revise procedure, used to filter/contract the variable domains w.r.t. an individual constraint, uses monotonic versions of the classical HC4-Revise and BoxNarrow procedures. Mohc-Revise appears to be the first adaptive revise procedure ever proposed in (interval) constraint programming. Also, when a function is monotonic w.r.t. every variable, Mohc-Revise is proven to compute the optimal/sharpest box enclosing all the solutions of the corresponding constraint (hull consistency). Very promising experimental results suggest that Mohc has the potential to become an alternative to the state-of-the-art HC4 and Box algorithms.
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Conference papers
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https://hal-enpc.archives-ouvertes.fr/hal-00654400
Contributor : Gilles Trombettoni <>
Submitted on : Wednesday, December 21, 2011 - 6:12:27 PM
Last modification on : Monday, July 16, 2018 - 3:42:06 PM

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  • HAL Id : hal-00654400, version 1

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Ignacio Araya, Gilles Trombettoni, Bertrand Neveu. Exploiting Monotonicity in Interval Constraint Propagation. Twenty-Fourth AAAI Conference on Artificial Intelligence, Jul 2010, Atlanta, United States. pp.9-14. ⟨hal-00654400⟩

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