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

  • Silvano Martello

    (DEIS, University of Bologna, Viale Risorgimento 2, Bologna, Italy)

  • David Pisinger

    (DIKU, University of Copenhagen, Univ.parken 1, Copenhagen, Denmark)

  • Paolo Toth

    (DEIS, University of Bologna, Viale Risorgimento 2, Bologna, Italy)

Registered author(s):

    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 on the internet.

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    File URL: http://dx.doi.org/10.1287/mnsc.45.3.414
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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 45 (1999)
    Issue (Month): 3 (March)
    Pages: 414-424

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    Handle: RePEc:inm:ormnsc:v:45:y:1999:i:3:p:414-424
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