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Hybridization of Interval CP and Evolutionary Algorithms for Optimizing Difficult Problems

Vanaret, Charlie and Gotteland, Jean-Baptiste and Durand, Nicolas and Alliot, Jean-Marc Hybridization of Interval CP and Evolutionary Algorithms for Optimizing Difficult Problems. (2015) In: 21st International Conference on Principles and Practice of Constraint Programming (CP 2015), 31 August 2015 - 4 September 2015 (Cork, Ireland).

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Official URL: https://doi.org/10.1007/978-3-319-23219-5_32

Abstract

The only rigorous approaches for achieving a numerical proof of optimality in global optimization are interval-based methods that interleave branching of the search-space and pruning of the subdomains that cannot contain an optimal solution. State-of-the-art solvers generally integrate local optimization algorithms to compute a good upper bound of the global minimum over each subspace. In this document, we propose a cooperative framework in which interval methods cooperate with evolutionary algorithms. The latter are stochastic algorithms in which a population of candidate solutions iteratively evolves in the search-space to reach satisfactory solutions. Within our cooperative solver Charibde, the evolutionary algorithm and the interval-based algorithm run in parallel and exchange bounds, solutions and search-space in an advanced manner via message passing. A comparison of Charibde with state-of-the-art interval-based solvers (GlobSol, IBBA, Ibex) and NLP solvers (Couenne, BARON) on a benchmark of difficult COCONUT problems shows that Charibde is highly competitive against non-rigorous solvers and converges faster than rigorous solvers by an order of magnitude.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 9255 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN: 978-3-319-23218-8 The original PDF is available at: https://link.springer.com/chapter/10.1007/978-3-319-23219-5_32
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole Nationale de l'Aviation Civile - ENAC (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:14 Feb 2019 15:39

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