Constraint-Based Local Search
A Column-Generation Approach to the Multiple Knapsack Problem with Color Constraints
INFORMS Journal on Computing
Solving linear pseudo-Boolean constraint problems with local search
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 3
The steel mill slab design problem revisited
CPAIOR'08 Proceedings of the 5th international conference on Integration of AI and OR techniques in constraint programming for combinatorial optimization problems
Solving steel mill slab design problems
Constraints
A generic method for identifying and exploiting dominance relations
CP'12 Proceedings of the 18th international conference on Principles and Practice of Constraint Programming
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The steel mill slab design problem from the CSPLIB is reallife problem from the steel industry. Finding optimal solutions to this problem is difficult. Existing constraint programming approaches can solve problems up to 30 orders. We propose a strong constraint programming model based on logical and global constraints. By designing a specific strategy for variable and value selection, we are able to solve instances having more than 70 orders to optimality using depth-first search. Injecting this strategy into a large neighborhood search, we are able to solve the real-life instance of the CSPLIB having 111 orders in just 3 seconds.