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Some exact algorithms for the knapsack sharing problem

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  • Yamada, Takeo
  • Futakawa, Mayumi
  • Kataoka, Seiji

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  • Yamada, Takeo & Futakawa, Mayumi & Kataoka, Seiji, 1998. "Some exact algorithms for the knapsack sharing problem," European Journal of Operational Research, Elsevier, vol. 106(1), pages 177-183, April.
    • Handle: RePEc:eee:ejores:v:106:y:1998:i:1:p:177-183
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    References listed on IDEAS

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    1. Christopher S. Tang, 1988. "A Max-Min Allocation Problem: Its Solutions and Applications," Operations Research, INFORMS, vol. 36(2), pages 359-367, April.
    2. Luss, Hanan, 1992. "Minimax resource allocation problems: Optimization and parametric analysis," European Journal of Operational Research, Elsevier, vol. 60(1), pages 76-86, July.
    3. Evan L. Porteus & Jonathan S. Yormark, 1972. "More on Min-Max Allocation," Management Science, INFORMS, vol. 18(9), pages 502-507, May.
    4. J. Randall Brown, 1979. "The Sharing Problem," Operations Research, INFORMS, vol. 27(2), pages 324-340, April.
    5. J. Randall Brown, 1979. "The Knapsack Sharing Problem," Operations Research, INFORMS, vol. 27(2), pages 341-355, April.
    6. Stephen Jacobsen, 1971. "On Marginal Allocation in Single Constraint Min-Max Problems," Management Science, INFORMS, vol. 17(11), pages 780-783, July.
    7. Seymour Kaplan, 1974. "Application of Programs with Maximin Objective Functions to Problems of Optimal Resource Allocation," Operations Research, INFORMS, vol. 22(4), pages 802-807, August.
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    Cited by:

    1. Fujimoto, Masako & Yamada, Takeo, 2006. "An exact algorithm for the knapsack sharing problem with common items," European Journal of Operational Research, Elsevier, vol. 171(2), pages 693-707, June.
    2. Sbihi, Abdelkader, 2010. "A cooperative local search-based algorithm for the Multiple-Scenario Max-Min Knapsack Problem," European Journal of Operational Research, Elsevier, vol. 202(2), pages 339-346, April.
    3. Dahmani, Isma & Hifi, Mhand & Wu, Lei, 2016. "An exact decomposition algorithm for the generalized knapsack sharing problem," European Journal of Operational Research, Elsevier, vol. 252(3), pages 761-774.
    4. Thekra Al-douri & Mhand Hifi & Vassilis Zissimopoulos, 2021. "An iterative algorithm for the Max-Min knapsack problem with multiple scenarios," Operational Research, Springer, vol. 21(2), pages 1355-1392, June.

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