Integer and combinatorial optimization
Integer and combinatorial optimization
The Surplus Inventory Matching Problem in the Process Industry
Operations Research
Production design for plate products in the steel industry
IBM Journal of Research and Development - Business optimization
An efficient model and strategy for the steel mill slab design problem
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
Solving steel mill slab design problems
Constraints
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In this paper, we study a new problem that we refer to as the multiple knapsack with color constraints (MKCP). Motivated by a real application from the steel industry, the MKCP can be formulated by generalizing the multiple knapsack problem. A real-life instance (called mkc) of this problem class is available through MIPLIB (Bixby 2004) and a larger instance (mkc7) is downloadable from the COIN site (IBM 2004). The focus of this paper is to present improved computational results for the two mentioned instances of this problem using a column-generation approach. We solve mkc to optimality and use Dantzig-Wolfe decomposition for upper bounding the other instance. Solving mkc to optimality took less time than it takes to solve the LP relaxation of the original formulation. The larger instance is solved to near optimality (within 0.5 of optimality) in a fraction of the time required to solve the original relaxed LP.