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Integer knapsack and flow covers with divisible coefficients: polyhedra, optimization and separation

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  • POCHET, Y.
  • WOLSEY, L. A.

Abstract

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Suggested Citation

  • Pochet, Y. & Wolsey, L. A., 1995. "Integer knapsack and flow covers with divisible coefficients: polyhedra, optimization and separation," LIDAM Reprints CORE 1149, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1149
    DOI: 10.1016/0166-218X(95)90600-K
    Note: In : Discrete Applied Mathematics, 59, 57-74, 1995
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    Cited by:

    1. Andrew P. Armacost & Cynthia Barnhart & Keith A. Ware, 2002. "Composite Variable Formulations for Express Shipment Service Network Design," Transportation Science, INFORMS, vol. 36(1), pages 1-20, February.
    2. Garg, Manish & Smith, J. Cole, 2008. "Models and algorithms for the design of survivable multicommodity flow networks with general failure scenarios," Omega, Elsevier, vol. 36(6), pages 1057-1071, December.
    3. Alper Atamtürk, 2005. "Cover and Pack Inequalities for (Mixed) Integer Programming," Annals of Operations Research, Springer, vol. 139(1), pages 21-38, October.
    4. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
    5. Yaman, Hande & Sen, Alper, 2008. "Manufacturer's mixed pallet design problem," European Journal of Operational Research, Elsevier, vol. 186(2), pages 826-840, April.
    6. WOLSEY, Laurence & YAMAN , Hand & ,, 2013. "Continuous knapsack sets with divisible capacities," LIDAM Discussion Papers CORE 2013063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Christopher Hojny & Tristan Gally & Oliver Habeck & Hendrik Lüthen & Frederic Matter & Marc E. Pfetsch & Andreas Schmitt, 2020. "Knapsack polytopes: a survey," Annals of Operations Research, Springer, vol. 292(1), pages 469-517, September.
    8. Wei-Kun Chen & Liang Chen & Yu-Hong Dai, 2023. "Lifting for the integer knapsack cover polyhedron," Journal of Global Optimization, Springer, vol. 86(1), pages 205-249, May.
    9. Correia, Isabel & Gouveia, Luís & Saldanha-da-Gama, Francisco, 2010. "Discretized formulations for capacitated location problems with modular distribution costs," European Journal of Operational Research, Elsevier, vol. 204(2), pages 237-244, July.

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