nous avons présenté un algorithme hybride entre la métaheuristique d'optimisation par colonies de fourmis et la programmation par contraintes pour la résolution de problèmes de satisfaction de contraintes ,
nous allons présenter une nouvelle approche hybride et générique dans laquelle ACO est combiné avec l'approche B&P&B pour résoudre des problèmes d'optimisation sous ,
Vertex sont meilleure en moyenne que CPO-ACO-Vertex-ph1 sur toutes les instances utilisées Cela est du au fait que CPO-ACO-Vertex-ph1 n'effectue pas de phase d'intensification de la recherche (il n'utilise pas la deuxième phase) Ce tableau montre également que CPO-ACO-Vertex est meilleure en moyenne que CPO-ACO sur sept instances et il est moins bon que lui sur trois instances. Ces résultats montrent, en comparant CPO-ACO avec CPO-ACO-Vertex, l'intérêt de la nouvelle structure de phéromone Vertex. La comparaison de CPO-ACO-Vertex-ph1 et CPO-ACO-Vertex montre l'intérêt de la deuxième phase (la phase d'intensification) en utilisant CP Optimizer, Analyse des résultats Le tableau 6.2 montre sur Remarquons que sur les pour le MKP, CPO-ACO et CPO-ACO-Vertex trouvent les solutions optimales ,
test de Student avec un niveau de confiance de 95%) de comparaison des quatre algorithmes en se basant sur les résultats donnés dans le tableau 6.2. Pour chaque paire d'algorithmes, nous donnons le pourcentage d'instances sur lesquelles l'algorithme qui est sur la ligne du tableau est meilleur que l'algorithme sur la colonne, donne les résultats des tests statistiques Nous remarquons que CPO ? ACO ? Vertex est ,
Ant algorithm for multidimensional knapsack problem, International Conference on Bioinspired Optimization methods and teir ApplicationsBIOMA2001), pp.63-72, 2004. ,
Ant Colony Optimization for Multi-Objective Optimization Problems, 19th IEEE International Conference on Tools with Artificial Intelligence(ICTAI 2007), pp.450-457, 2007. ,
DOI : 10.1109/ICTAI.2007.108
URL : https://hal.archives-ouvertes.fr/hal-01502167
Population-Based Incremental Learning : A Method for Integrating Genetic Search Based Function Optimization and Competitive Learning. Rapport, 1994. ,
Reactive Search and Intelligent Optimization, Operations researchComputer Science Interfaces, vol.45, 2008. ,
DOI : 10.1007/978-0-387-09624-7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.379.666
Neighborhood-Based Variable Ordering Heuristics for the Constraint Satisfaction Problem, Proceedings of CP 2001, pp.565-569, 2001. ,
DOI : 10.1007/3-540-45578-7_40
A Hybrid Evolutionary Algorithm for CSP, In Lecture Notes in Computer Science, vol.2936, pp.79-90, 2004. ,
DOI : 10.1007/978-3-540-24621-3_7
Comments on ???Solving real car sequencing problems with ant colony optimization???, European Journal of Operational Research, vol.182, issue.1, pp.466-468, 2007. ,
DOI : 10.1016/j.ejor.2006.07.012
Using inference to reduce arc consistency computation, Proceedings IJCAI'95, pp.592-598 ,
Using constraint metaknowledge to reduce arc consistency computation, Artificial Intelligence, vol.107, issue.1, pp.125-148, 1999. ,
DOI : 10.1016/S0004-3702(98)00105-2
A new rank-based version of the ant system : A computational study, Central European Journal for Operations Research and Economics, vol.7, issue.1, pp.25-38, 1999. ,
An improved ant system algorithm for the vehicle routing problem, Annals of Operations Research, vol.89, pp.319-328, 1999. ,
The Problem of Tuning Metaheuristics as Seen from a Machine Learning Perspective, 2004. ,
Encodings of the sequence constraint, CP2007, pp.210-224, 2007. ,
Reactive Local Search for the Maximum Clique Problem1, Algorithmica, vol.29, issue.4, pp.610-637, 2001. ,
DOI : 10.1007/s004530010074
New methods to color the vertices of a graph, Communication of the ACM, vol.22, pp.251-256, 1979. ,
MAC and combined heuristics: Two reasons to forsake FC (and CBJ?) on hard problems, CP96, Second International Conference on Principles and Practice of Constraint Programming, pp.61-75, 1996. ,
DOI : 10.1007/3-540-61551-2_66
Refining the basic constraint propagation algorithm, Proceedings of the seventeenth International Conference on Artificial Intelligence (IJCAI-01), pp.4-10, 2001. ,
A Racing Algorithm for Configuring Metaheuristics, In GECCO, pp.11-18, 2002. ,
Theoretical and numerical constraint-handling techniques used with evolutionary algorithms : a survey of the state of the art, Computer Methods in Applied Mechanics and Engineering, vol.191, pp.11-121245, 2002. ,
Penalty guided genetic search for reliability design optimization, Computer and Industrial Engeneering, vol.30, issue.4, pp.895-904, 1996. ,
Adaptive Penalty Methods for Genetic Optimization of Constrained Combinatorial Problems, INFORMS Journal on Computing, vol.8, issue.2, pp.173-182, 1996. ,
DOI : 10.1287/ijoc.8.2.173
The selforganizing exploratory pattern of the argentine ant, pp.159-168, 1990. ,
Domain filtering consistencies, Journal of Artificial Intelligence Research, vol.14, pp.205-230, 2001. ,
Ant Algorithms for Discrete Optimization, Artificial Life, vol.54, issue.1, pp.137-172, 1999. ,
DOI : 10.1007/BF01797237
The Ant Colony Optimization metaheuristic, New Ideas in Optimization, pp.11-32, 1999. ,
An effecient Constraint Handling Method for Genetic Algorithms, Computer Methods in Applied Mechanics and Engineering, 2001. ,
Ant colony system: a cooperative learning approach to the traveling salesman problem, IEEE Transactions on Evolutionary Computation, vol.1, issue.1, pp.53-66, 1997. ,
DOI : 10.1109/4235.585892
Results of the second CSP solver competition, Second International CSP Solver Competition, pp.1-10, 2007. ,
Positive feedback as a search strategy, tech. Rep. 91-016, 1991. ,
Ant system: optimization by a colony of cooperating agents, IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), vol.26, issue.1, pp.29-41, 1996. ,
DOI : 10.1109/3477.484436
Ant Colony Optimization, 2004. ,
Solving the car sequencing problem in constraint logic programming, Proceedings of ECAI-88, pp.290-295, 1988. ,
Solving constraint satisfaction sequencing problems by iterative repair, Proceedings of the First International Conference on the Practical Applications of Constraint Technologies and Logic Programming, pp.345-357, 1999. ,
Two local search approaches for solving real-life car sequencing problems, European Journal of Operational Research, vol.191, issue.3, pp.928-944, 2007. ,
DOI : 10.1016/j.ejor.2007.04.043
Adaptive and Dynamic Ant Colony Search Algorithm for Optimal Distribution Systems Reinforcement Strategy, Applied Intelligence, vol.16, issue.3, pp.31-42, 2006. ,
DOI : 10.1007/s10489-006-6927-y
A probabilistic heuristic for a computationally difficult set covering problem, Operations Research Letters, pp.67-71, 1989. ,
DOI : 10.1016/0167-6377(89)90002-3
Greedy Randomized Adaptive Search Procedures, Journal of Global Optimization, vol.68, issue.2, pp.109-133, 1995. ,
DOI : 10.1007/BF01096763
Partial constraint satisfaction, Artificial Intelligence, vol.58, issue.1-3, pp.21-70, 1992. ,
DOI : 10.1016/0004-3702(92)90004-H
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.7954
Self-organized shortcuts in the Argentine ant, Naturwissenschaften, vol.2, issue.12, pp.579-581, 1989. ,
DOI : 10.1007/BF00462870
A survey of penalty techniques in genetic algorithms, Proceedings of IEEE International Conference on Evolutionary Computation, pp.804-809, 1996. ,
DOI : 10.1109/ICEC.1996.542704
Review and comparison of three methods for the solution of the car sequencing problem, Journal of the Operational Research Society, vol.53, issue.11, pp.1287-1295, 2005. ,
DOI : 10.1057/palgrave.jors.2601321
Solving real car sequencing problems with ant colony optimization, European Journal of Operational Research, vol.174, issue.3, pp.1427-1448, 2006. ,
DOI : 10.1016/j.ejor.2005.02.063
Computer and intractability ; A guide to the theory of NP Completeness, 1979. ,
Tabu Search, 1997. ,
URL : https://hal.archives-ouvertes.fr/hal-01389283
Future paths for integer programming and links to artifitial intelligence, Computers and Operations Research, vol.13, issue.5, pp.533-549, 1986. ,
The constrainedness of search, Proceedings of AAAI-96, 1996. ,
A Study of Greedy, Local Search, and Ant Colony Optimization Approaches for Car Sequencing Problems, Applications of evolutionary computing, pp.246-257, 2003. ,
DOI : 10.1007/3-540-36605-9_23
Ant colonies for the quadratic assignment problem, Journal of the Operational Research Society, vol.50, issue.2, pp.167-176, 1999. ,
DOI : 10.1057/palgrave.jors.2600676
Csplib : a benchmark library for constraints, 1999. ,
A Genetic Algorithm for the Multiple-Choice Integer Program, Operations Research, vol.45, issue.1, pp.92-101, 1997. ,
DOI : 10.1287/opre.45.1.92
Increasing tree search efficiency for constraint satisfaction problems, Artificial Intelligence, vol.14, issue.3, pp.263-313, 1980. ,
DOI : 10.1016/0004-3702(80)90051-X
Metaheuristiques pour l'optimisation combinatoire et l'affectation sous contraintes. Revue d'Intelligence Artificielle, pp.283-324, 1999. ,
An Introduction to Variable Neighborhood Search, Meta-heuristics : advances and trends in local search paradigms for optimization, pp.433-438, 1999. ,
DOI : 10.1007/978-1-4615-5775-3_30
Constraint-Based Local Search, 2005. ,
Adaptation in Natural and Artificial Systems : An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, 1992. ,
Revisiting the sequence constraint, 12th International Conference on Principles and Practice of Constraint Programming -CP 2006, pp.620-634, 2006. ,
Towards a characterisation of the behaviour of stochastic local search algorithms for sat, Artificial Intelligence, vol.112 ,
Problem-independent handling of constraints by use of metric penalty functions, Proceedings of the Fifth Annual Conference on Evolutionary Programming (EP ? 96), pp.289-294, 1996. ,
Ilog Solver user's manual, 1998. ,
On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with gas, Proceedings of the first IEEE Conference on Evolutionary Computation, pp.579-584, 1994. ,
Local search with constraint propagation and??conflict-based heuristics, Artificial Intelligence, vol.139, issue.1, p.139, 2002. ,
DOI : 10.1016/S0004-3702(02)00221-7
URL : https://hal.archives-ouvertes.fr/hal-00869124
Using ACO to guide a CP search, First Workshop on Autonomous Search, in conjunction with CP'07, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-01502172
CP with ACO, 5th International Conference on Integration of AI and OR Techniques in CP for Combinatorial Optimization Problem (CPAIOR2008), pp.328-332, 2008. ,
Integration of ACO in a constraint programming language, 6th International Conference on Ant Colony Optimization and Swarm Intelligence (ANTS'08), pp.84-95, 2008. ,
Programmation par contraintes avec des fourmis, Journées Francophones de Programmation par Contraintes (JFPC), pp.337-348, 2008. ,
An ACO-based reactive framework for Ant Colony Optimization : First experiments on constraint satisfaction problems, LION3 Learning and Intelligent OptimisatioN, pp.119-133, 2009. ,
Un modèle réactif pour l'optimisation par colonies de fourmis : application à la satisfaction de contraintes, Journées Francophones de Programmation par Contraintes (JFPC), 2009. ,
Intégration de l'optimisation par colonies de fourmis dans cp optimizer, Journées Francophones de Programmation par Contraintes (JFPC), 2010. ,
Strong Combination of Ant Colony Optimization with Contraint Programming Optimization, CPAIOR2010 7 th International Conference on Integration of AI and OR Techniques in CP for Combinatorial Optimisation Problems, 2010. ,
GSAT and local consistency, Proc. of IJCAI, 1995. ,
Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983. ,
DOI : 10.1126/science.220.4598.671
On the complexity of the car sequencing problem, Operations Research Letters, vol.32, issue.4, pp.331-335, 2004. ,
DOI : 10.1016/j.orl.2003.09.003
Varying fitness functions in genetic algorithms: Studying the rate of increase of the dynamic penalty terms, Parallel Problem Solving from Natural V ? PPSN V, 1998. ,
DOI : 10.1007/BFb0056864
Estimation of Distribution Algorithms . A new tool for Evolutionary Computation, 2001. ,
Performance of a comprehensive and efficient constraint library using local search, 11th Australian JCAI, LNAI, 1998. ,
A new version of ant system for subset problems, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406), pp.1459-1464, 1999. ,
DOI : 10.1109/CEC.1999.782655
Iterated Local Search, Handbook of Metaheuristics of International Series in Operations Research Management Science, pp.321-353, 2001. ,
DOI : 10.1007/0-306-48056-5_11
A genetic algorithm approach to multiple-fault diagnosis, Handbook of Genetic Algorithms, chapter 17, pp.237-250, 1991. ,
Representational issues in genetic optimization, Journal of Experimental & Theoretical Artificial Intelligence, vol.33, issue.2, pp.4-30, 1990. ,
DOI : 10.1145/63039.63044
Evolutionary optimization of constrained problems, Proceedings of the 3 rd Annual Conference on Evolutionary Programming, pp.98-108, 1994. ,
Consistency in networks of relations, Artificial Intelligence, vol.8, pp.99-118, 1977. ,
Relational consistency algorithms and their application in finding subgraph and graph isomorphism, Information Science, vol.19, pp.229-250, 1979. ,
Integrating ACO and Constraint Propagation, 4th International Conference on Ant Colony Optimization and Swarm Intelligence, pp.166-177, 2004. ,
DOI : 10.1007/978-3-540-28646-2_15
Hybrids of constructive meta-heuristics and constraint programming : A case study with ACO Hybrid Metaheuristics-An emergent approach for optimization, 2008. ,
The complexity of some polynomial network consistency algorithms for constraint satisfaction problems, Artificial Intelligence, vol.25, issue.1, pp.65-74, 1985. ,
DOI : 10.1016/0004-3702(85)90041-4
Arc and path consistency revisited, Artificial Intelligence, vol.28, issue.2, pp.225-233, 1986. ,
DOI : 10.1016/0004-3702(86)90083-4
URL : https://hal.archives-ouvertes.fr/inria-00548487
A constraintbased architecture for local search, OOPSLA 02 : Proceedings of the 17th ACM SIGPLAN conference on Object-oriented programming, systems, languages, and applications, pp.83-100, 2002. ,
Genetic algorithms + data structures = evolution programs, 1996. ,
Minimizing conflicts: a heuristic repair method for constraint satisfaction and scheduling problems, Artificial Intelligence, vol.58, issue.1-3, pp.161-205, 1992. ,
DOI : 10.1016/0004-3702(92)90007-K
Chaff, Proceedings of the 38th conference on Design automation , DAC '01, 2001. ,
DOI : 10.1145/378239.379017
A universal electic genetic algorithm for constrained optimization, Proceedings 6 th European Congress on Intelligent Techniques Soft Computing, EUFIT ? 98, pp.518-522, 1998. ,
Equation of state calculations by fast computing machines, J. Chem. Phys, vol.21, pp.1087-1092, 1953. ,
Programming with Constraints : An Introduction, 1998. ,
Parallel genetic algorithms in combinatorial optimization, Computer Science and Operations Research, pp.441-456, 1992. ,
Random keys genetic algorithm with adaptive penalty function for optimization of constrained facility layout problem, Proceedings of the 1997 International Conference on Evolutionary Computation, pp.407-411, 1997. ,
ID Walk: A Candidate List Strategy with a Simple Diversification Device, Proceedings of CP2004, pp.423-437, 2004. ,
DOI : 10.1007/978-3-540-30201-8_32
Integer and combinatorial optimization, 1988. ,
DOI : 10.1002/9781118627372
URL : http://dx.doi.org/10.1016/s0898-1221(99)91259-2
Using a genetic algorithm to optimize problems with feasibility constraints, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence, pp.548-553, 1994. ,
DOI : 10.1109/ICEC.1994.350001
Co-evolutionary constraint satisfaction, Proceedings of the 3 rd Conference on Parallel Problem Solving from Nature, pp.46-55 ,
On $\cal M\!AX\!$ ??? $\cal MI\!N\!$ Ant System???s Parameters, Lecture Notes in Computer Science, vol.4150, pp.203-214, 2006. ,
DOI : 10.1007/11839088_18
BOA : The bayesian optimization algorithm, Proceedings of the Genetic and Evolutionary Computation Conference GECCO-99, pp.525-532, 1999. ,
Hybrid algorithms for the constraint satisfaction problems, Computational Intelligence, 1993. ,
Combinatorial optimization? Algorithms and complexity, 1982. ,
Using genetic algorithms in engineering design optimization with nonlinear constraints, Proceedings of the Fifth International Conference on Genetic Algorithms, pp.424-431, 1993. ,
Combining Forces to Solve the Car Sequencing Problem, Proceedings of CPAI-OR2004, pp.225-239 ,
DOI : 10.1007/978-3-540-24664-0_16
Travelling in the world of local searches in the space of partial assignments. Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, pp.240-255, 2004. ,
A filtering algorithm for constraints of difference in csps, European Journal of Operational Research, 1994. ,
A filtering algorithm for constraints of difference in CSPs, AAAI-94, pp.362-367, 1994. ,
A filtering algorithm for global sequencing constraints, CP97, pp.32-46, 1997. ,
DOI : 10.1007/BFb0017428
Some guidelines for genetic algorithms with penalty functions, Proceedings of the third International Conference on Genetic Algorithms, pp.191-197, 1989. ,
An Ant Colony Optimization Meta- Heuristic for Subset Selection Problems, publisher = Nova Science, pages = 7-29, year =, System Engineering using Particle Swarm Optimization, 2006. ,
An Ant Colony Optimization Meta-Heuristic for Subset Selection Problems -Chapter, System Engineering using Particle Swarm Optimization », Nadia Nedjah and Luiza Mourelle editors, 2006. ,
The car sequencing problem: Overview of state-of-the-art methods and industrial case-study of the ROADEF???2005 challenge problem, European Journal of Operational Research, vol.191, issue.3, pp.191912-927, 2008. ,
DOI : 10.1016/j.ejor.2007.04.033
URL : https://hal.archives-ouvertes.fr/hal-00124828
A study of ACO capabilities for solving the maximum clique problem, Journal of Heuristics, vol.6, issue.4, pp.155-180, 2006. ,
DOI : 10.1007/s10732-006-4295-8
URL : https://hal.archives-ouvertes.fr/hal-01513687
??? Ant System, Future Generation Computer Systems, vol.16, issue.8, pp.889-914, 2000. ,
DOI : 10.1016/S0167-739X(00)00043-1
Succeed-first or fail-first : A case study in variable and value ordering heuristics, Third Conference on the Practical Applications of Constraint Technology, pp.321-330, 1996. ,
Solving Permutation Constraint Satisfaction Problems with Artificial Ants, 14 th European Conference on Artificial Intelligence (ECAI), pp.118-122, 2000. ,
Ants can solve constraint satisfaction problems, IEEE Transactions on Evolutionary Computation, vol.6, issue.4, pp.347-357, 2002. ,
Combining two pheromone structures for solving the car sequencing problem with Ant Colony Optimization, European Journal of Operational Research (EJOR), vol.191, pp.1043-1055, 2008. ,
Genetic optimization using a penalty function, Proceedings of the Fifth International Conference on Genetic Algorithms, pp.499-503, 1993. ,
Constrained GA optimization, Proceedings of the Fifth International Conference on Genetic Algorithms, pp.573-580, 1993. ,
A genetic approach to the quadratic assignment problem, Computers & Operations Research, vol.22, issue.1, pp.73-78, 1995. ,
DOI : 10.1016/0305-0548(93)E0020-T
Foundations of Constraint Satisfaction, 1993. ,
Reactive Prohibition-based Ant Colony Optimization (RPACO) : A new parallel architecture for constrained clique sub-graphs, ICTAI '04 : Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence, pp.63-71, 2004. ,
Optimal design of system reliability by an improved genetic algorithm. Transactions of Institute of Electronics, pp.78-702, 1995. ,