2017
DOI: 10.17535/crorr.2017.0008
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Accelerating the B&B algorithm for integer programming based on flatness information: an approach applied to the multidimensional knapsack problem

Abstract: Abstract. This paper presents a new branching rule based on the flatness of a polyhedron associated to the set of constraints in an integer linear programming problem. The rule called Flatness II is a heuristic technique used with the branch-and-bound method. The rule is concerned with the minimum integer width vector. Empirical evidence supports the conjecture that the direction with the highest value of the vector's components indicates a suitable branching direction. The paper provides theoretical results d… Show more

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