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 re- vise procedure ever proposed in constraint program- ming. 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.
|Translated title of the contribution||Exploitation of the monotony of functions in interval constraint propagation|
|Number of pages||9|
|State||Published - 1 Dec 2010|
|Event||Sixiemes Journees Francophones de Programmation par Contraintes, JFPC 2010 - 6th French Speaking Conference on Constraint Programming, JFPC 2010 - Caen, France|
Duration: 9 Jun 2010 → 11 Jun 2010
|Period||9/06/10 → 11/06/10|