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Reduction Algorithm for Zero-One Single Knapsack Problems

Author

Listed:
  • Giorgio P. Ingargiola

    (California Institute of Technology)

  • James F. Korsh

    (California Institute of Technology)

Abstract

A simple algorithm is described for the reduction of 0-1 single knapsack problems to significantly smaller problems. The time required by the reduction algorithm is proportional to the number of variables. When used in conjunction with available algorithms for knapsack problems it substantially reduces total time and space requirements.

Suggested Citation

  • Giorgio P. Ingargiola & James F. Korsh, 1973. "Reduction Algorithm for Zero-One Single Knapsack Problems," Management Science, INFORMS, vol. 20(4-Part-I), pages 460-463, December.
    • Handle: RePEc:inm:ormnsc:v:20:y:1973:i:4-part-i:p:460-463
    DOI: 10.1287/mnsc.20.4.460
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    Cited by:

    1. You, Byungjun & Yamada, Takeo, 2007. "A pegging approach to the precedence-constrained knapsack problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 618-632, December.
    2. David Pisinger, 1999. "Core Problems in Knapsack Algorithms," Operations Research, INFORMS, vol. 47(4), pages 570-575, August.
    3. Pisinger, David, 1995. "An expanding-core algorithm for the exact 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 175-187, November.

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