Integer and combinatorial optimization
Integer and combinatorial optimization
A filtering algorithm for constraints of difference in CSPs
AAAI '94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 1)
Mixed logical-linear programming
Discrete Applied Mathematics - Special issue on the satisfiability problem and Boolean functions
Introduction to DIMACS workshop on constraint programming and large scale discrete optimization
DIMACS workshop on on Constraint programming and large scale discrete optimization
Logic-Based Methods for Optimization
PPCP '94 Proceedings of the Second International Workshop on Principles and Practice of Constraint Programming
Branch and Infer: a Unifying Framework for Integer and Finite Domain Constraint Programming
INFORMS Journal on Computing
An LP-based proof for the non-existence of a pair of orthogonal Latin squares of order 6
Operations Research Letters
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We consider the problem of Mutually Orthogonal Latin Squares and propose two algorithms which integrate Integer Programming (IP) and Constraint Programming (CP). Their behaviour is examined and compared to traditional CP and IP algorithms. The results assess the quality of inference achieved by the CP and IP, mainly in terms of early identification of infeasible subproblems. It is clearly illustrated that the integration of CP and IP is beneficial and that one hybrid algorithm exhibits the best performance as the problem size grows. An approach for reducing the search by excluding isomorphic cases is also presented.