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The Multiple-Choice Knapsack Problem

In: Knapsack Problems

Author

Listed:
  • Hans Kellerer

    (University of Graz, Department of Statistics and Operations Research)

  • Ulrich Pferschy

    (University of Graz, Department of Statistics and Operations Research)

  • David Pisinger

    (University of Copenhagen, DIKU, Department of Computer Science)

Abstract

The multiple-choice knapsack problem (MCKP) is a generalization of the ordinary knapsack problem, where the set of items is partitioned into classes. The binary choice of taking an item is replaced by the selection of exactly one item out of each class of items. In Section 7.1 we already noticed that a (BKP) can be formulated as a (MCKP), and indeed the (MCKP) model is one of the most flexible knapsack models. (MCKP) is also denoted as knapsack problem with generalized upper bound constraints or for short knapsack problem with GUB.

Suggested Citation

  • Hans Kellerer & Ulrich Pferschy & David Pisinger, 2004. "The Multiple-Choice Knapsack Problem," Springer Books, in: Knapsack Problems, chapter 11, pages 317-347, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-24777-7_11
    DOI: 10.1007/978-3-540-24777-7_11
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