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A new lower bound for the linear knapsack problem with general integer variables

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  • Mathur, Kamlesh
  • Venkateshan, Prahalad

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  • Mathur, Kamlesh & Venkateshan, Prahalad, 2007. "A new lower bound for the linear knapsack problem with general integer variables," European Journal of Operational Research, Elsevier, vol. 178(3), pages 738-754, May.
    • Handle: RePEc:eee:ejores:v:178:y:2007:i:3:p:738-754
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    References listed on IDEAS

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    1. B. N. Tien & T. C. Hu, 1977. "Error Bounds and the Applicability of the Greedy Solution to the Coin-Changing Problem," Operations Research, INFORMS, vol. 25(3), pages 404-418, June.
    2. M. J. Magazine & G. L. Nemhauser & L. E. Trotter, 1975. "When the Greedy Solution Solves a Class of Knapsack Problems," Operations Research, INFORMS, vol. 23(2), pages 207-217, April.
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    Cited by:

    1. Lixin Tang & Gongshu Wang & Jiyin Liu & Jingyi Liu, 2011. "A combination of Lagrangian relaxation and column generation for order batching in steelmaking and continuous‐casting production," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(4), pages 370-388, June.
    2. Deineko, Vladimir G. & Woeginger, Gerhard J., 2011. "Unbounded knapsack problems with arithmetic weight sequences," European Journal of Operational Research, Elsevier, vol. 213(2), pages 384-387, September.
    3. Huang, Ping H. & Lawley, Mark & Morin, Thomas, 2011. "Tight bounds for periodicity theorems on the unbounded Knapsack problem," European Journal of Operational Research, Elsevier, vol. 215(2), pages 319-324, December.

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