Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem

  title={Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem},
  author={Silvano Martello and David Pisinger and Paolo Toth},
Two new algorithms recently proved to outperform all previous methods for the exact solution of the 0-1 Knapsack Problem. This paper presents a combination of such approaches, where, in addition, valid inequalities are generated and surrogate relaxed, and a new initial core problem is adopted. The algorithm is able to solve all classical test instances, with up to 10,000 variables, in less than 0.2 seconds on a HP9000-735/99 computer. The C language implementation of the algorithm is available… CONTINUE READING
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