By Ignacio Araya, Gilles Trombettoni (auth.), Nicolas Beldiceanu, Narendra Jussien, Éric Pinson (eds.)
This publication constitutes the refereed court cases of the ninth foreign convention on Integration of AI and OR strategies in Constraint Programming for Combinatorial Optimization difficulties, CPAIOR 2012, held in Nantes, France, in May/June 2012.
The 26 revised complete papers provided have been conscientiously reviewed and
selected from sixty four submissions. The papers are all for either theoretical and sensible, application-oriented concerns in combinatorial optimization and have present examine with a different specialize in inference and leisure equipment, integration tools, modeling equipment, cutting edge purposes of CP/AI/OR suggestions, and implementation of CP/AI/OR suggestions and optimization structures.
Read or Download Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems: 9th International Conference, CPAIOR 2012, Nantes, France, May 28 – June1, 2012. Proceedings PDF
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Additional info for Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems: 9th International Conference, CPAIOR 2012, Nantes, France, May 28 – June1, 2012. Proceedings
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Lj , Lj+1 with corresponding widths ωi , i = 1, . . , j + 1. We break down into cases based on where yj+1 appears in the path that it belongs to in P , as follows. Case 1: yj+1 is the last vertex in the path that it belongs to. Take any node u ∈ Lj+1 and its associated state E(u). Including or not including yj+1 results in state E(u)\{yj+1 } since yj+1 is independent of all vertices yi , i ≥ j + 2. Therefore, ωj+2 ≤ ωj+1 since each arc directed out of u will be directed at the same node, even if the zero-arc and the one-arc are present.
Cire, Willem-Jan van Hoeve, and John N. A. edu Abstract. The ordering of variables can have a significant effect on the size of the reduced binary decision diagram (BDD) that represents the set of solutions to a combinatorial optimization problem. It also influences the quality of the objective function bound provided by a limited-width relaxation of the BDD. We investigate these effects for the maximum independent set problem. By identifying variable orderings for the BDD, we show that the width of an exact BDD can be given a theoretical upper bound for certain classes of graphs.
We are interested in two different aspects when comparing two solvers: (1) the ability to solve as many formulas as possible, and (2) the average computation time on easy formulas. These two properties are both very important in a verification setting: we want of course to solve a high ratio of formulas, but a solver able to solve many formulas with an important overhead may be less interesting in some contexts than a faster solver missing only a few difficult-to-solve formulas. Competitors. We submitted the formulas to three versions of fdcc.