In this paper, we introduce a new constraint solver aimed at analyzing the round-off errors that occur in floating-point computations. Such a solver allows reasoning on round-off errors by means of constraints on ranges of error values. This new solver is built by incorporating in a solver for constraints over the floating-point numbers the...
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August 27, 2018 (v1)Conference paperUploaded on: December 4, 2022
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August 27, 2023 (v1)Conference paper
Multi-objective problems are frequent in the real world. In general they involve several incomparable objectives and the goal is to find a set of Pareto optimal solutions, i.e. solutions that are incomparable two by two. In order to better deal with these problems in CP the global constraint Pareto was developed by Schaus and Hartert to handle...
Uploaded on: November 25, 2023 -
June 12, 2019 (v1)Conference paper
Les solveurs SAT sont utilisés avec succès dans de nombreuses applications combinatoires et du monde réel. Il n'est maintenant pas rare de lire qu'une preuve mathé-matique implique des centaines de gigaoctets de traces de solveur SAT. L'ampleur de la preuve commence à consti-tuer une véritable limite à l'approche globale. Dans ce travail, nous...
Uploaded on: December 4, 2022 -
June 10, 2022 (v1)Journal article
The product constraint ensures that the product of some variables will be greater than a given value, that is Π n i=1 xi ≥ w. With the emergence of stochastic problems, this constraint appears more and more frequently in practice. The variables are most often probability variables that represent the probability that an event will occur and the...
Uploaded on: December 3, 2022 -
October 8, 2019 (v1)Conference paper
International audience
Uploaded on: December 4, 2022 -
February 7, 2023 (v1)Conference paper
In robust optimization, finding a solution that solely respects the constraints is not enough. Usually, the uncertainty and unknown parameters of the model are represented by random variables. In such conditions, a good solution is a solution robust to most-likely assignments of these random variables. Recently, the Confidence constraint has...
Uploaded on: November 25, 2023