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Exploitation de la monotonie des fonctions dans la propagation de contraintes sur intervalles

Abstract : We propose 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 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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Submitted on : Thursday, September 23, 2010 - 9:16:48 AM
Last modification on : Thursday, January 20, 2022 - 5:29:52 PM
Long-term archiving on: : Thursday, October 25, 2012 - 11:22:22 AM


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  • HAL Id : inria-00520371, version 1


Ignacio Araya, Bertrand Neveu, Gilles Trombettoni. Exploitation de la monotonie des fonctions dans la propagation de contraintes sur intervalles. JFPC 2010 - Sixièmes Journées Francophones de Programmation par Contraintes, Jun 2010, Caen, France. pp.23-31. ⟨inria-00520371⟩



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