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How to solve the collapsing subset-sum problem revisited

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  • Iida, Hiroshi

Abstract

This is a revised version of Iida [5]: We introduce a new type of problem that we shall call collapsing subset-sum problem, and present an algorithm to solve the problem. The problem is a special case of the collapsing knapsack problem, and the algorithm based on a depth-first branch-and-bound strategy, involving some tip, makes it easy to solve the problem.

Suggested Citation

  • Iida, Hiroshi, 2011. "How to solve the collapsing subset-sum problem revisited," ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) 10252/4432, Otaru University of Commerce.
    • Handle: RePEc:ota:busdis:10252/4432
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    References listed on IDEAS

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    1. Iida, Hiroshi, 1998. "A simple branch-and-bound approach for the strongly correlated knapsack problem," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 48(2/3), pages 353-370.
    2. George B. Dantzig, 1957. "Discrete-Variable Extremum Problems," Operations Research, INFORMS, vol. 5(2), pages 266-288, April.
    3. Iida, Hiroshi, 1998. "How to Solve the Collapsing Subset-Sum Problem," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 48(4), pages 141-146.
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