Integration of AI and OR Techniques in Constraint by Christos T. Maravelias, Ignacio E. Grossmann (auth.),

By Christos T. Maravelias, Ignacio E. Grossmann (auth.), Jean-Charles Régin, Michel Rueher (eds.)

This e-book constitutes the refereed lawsuits of the 1st overseas convention on Integration of AI and OR ideas in Constraint Programming for Combinatorial Optimization difficulties, CPAIOR 2004, held in great, France in April 2004.

The 23 revised complete papers and seven revised brief papers awarded including an invited speak have been conscientiously reviewed and chosen from fifty six submissions. Methodological and foundational matters from AI, OR, and algorithmics are awarded in addition to purposes to the answer of combinatorial optimization difficulties in a variety of fields through constraint programming.

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Additional info for Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems: First International Conference, CPAIOR 2004, Nice, France, April 20-22, 2004. Proceedings

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6 outlines some additional features provided by SIMPL, and Sect. 7 discusses directions for future work. 2 Previous Work A comprehensive survey of the literature on the cooperation of logic-based, Constraint Programming (CP) and Operations Research (OR) methods can be found in [15]. g. Benders [3]) that solve parts of the problem with different techniques [10,14, 19, 21, 24, 33]; allowing different models/solvers to exchange information [32]; using linear programming to reduce the domains of variables or to fix them to certain values [4, 11, 32]; automatic reformulation of global constraints as systems of linear inequalities [30]; continuous relaxations of global constraints and disjunctions of linear systems [1, 14, 18, 22, 28, 36, 37, 38]; understanding the generation of cutting planes as a form of logical inference [6, 7]; strengthening the problem formulation by embedding the generation of valid cutting planes into CP constraints [12]; maintaining the continuous relaxation of a constraint updated when the domains of its variables change [29]; and using global constraints as a key component in the intersection of CP and OR [27].

Numerische Mathematik, 4:238–252, 1962. [4] H. Beringer and B. de Backer. Combinatorial problem solving in constraint logic programming with cooperating solvers. In C. Beierle and L. Plümer, editors, Logic Programming: Formal Methods and Practical Applications. Elsevier Science, 1995. [5] M. Berkelaar. LP_SOLVE. nl/pub/lp_solve/. [6] A. Bockmayr and F. Eisenbrand. Combining logic and optimization in cutting plane theory. In H. Kirchner and C. Ringeissen, editors, Proceedings of the Third International Workshop on Frontiers of Combining Systems (FroCos), LNAI1794, 1–17.

Osorio. Mixed logical/linear programming. Discrete Applied Mathematics, 96–97(1–3):395–442, 1999. [19] J. N. Hooker and G. Ottosson. Logic-based benders decomposition. Mathematical Programming, 96:33–60, 2003. N. Hooker, G. Ottosson, E. -J. Kim. On integrating constraint propagation and linear programming for combinatorial optimization. In Proceedings of the 16th National Conference on Artificial Intelligence, pages 136–141. MIT Press, 1999. [21] J. N. Hooker and H. Yan. Logic circuit verification by Benders decomposition.

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