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Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem

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  • Kaparis, Konstantinos
  • Letchford, Adam N.

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  • Kaparis, Konstantinos & Letchford, Adam N., 2008. "Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 186(1), pages 91-103, April.
    • Handle: RePEc:eee:ejores:v:186:y:2008:i:1:p:91-103
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    References listed on IDEAS

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    1. Eitan Zemel, 1989. "Easily Computable Facets of the Knapsack Polytope," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 760-764, November.
    2. Zonghao Gu & George L. Nemhauser & Martin W.P. Savelsbergh, 2000. "Sequence Independent Lifting in Mixed Integer Programming," Journal of Combinatorial Optimization, Springer, vol. 4(1), pages 109-129, March.
    3. WOLSEY, Laurence A., 1976. "Facets and strong valid inequalities for integer programs," LIDAM Reprints CORE 246, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Alper Atamtürk, 2005. "Cover and Pack Inequalities for (Mixed) Integer Programming," Annals of Operations Research, Springer, vol. 139(1), pages 21-38, October.
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    Cited by:

    1. Christina Büsing & Sebastian Goderbauer & Arie M. C. A. Koster & Manuel Kutschka, 2019. "Formulations and algorithms for the recoverable $${\varGamma }$$ Γ -robust knapsack problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(1), pages 15-45, March.
    2. Agostinho Agra & Cristina Requejo & Eulália Santos, 2016. "Implicit cover inequalities," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1111-1129, April.
    3. Raphael Kramer & Manuel Iori & Thibaut Vidal, 2020. "Mathematical Models and Search Algorithms for the Capacitated p -Center Problem," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 444-460, April.
    4. Codas, Andrés & Camponogara, Eduardo, 2012. "Mixed-integer linear optimization for optimal lift-gas allocation with well-separator routing," European Journal of Operational Research, Elsevier, vol. 217(1), pages 222-231.
    5. Renata Mansini & M. Grazia Speranza, 2012. "CORAL: An Exact Algorithm for the Multidimensional Knapsack Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 399-415, August.
    6. Shanshan Wang & Jinlin Li & Sanjay Mehrotra, 2021. "Chance-Constrained Multiple Bin Packing Problem with an Application to Operating Room Planning," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1661-1677, October.
    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. Said Dabia & Stefan Ropke & Tom van Woensel, 2019. "Cover Inequalities for a Vehicle Routing Problem with Time Windows and Shifts," Transportation Science, INFORMS, vol. 53(5), pages 1354-1371, September.
    9. Said Dabia & David Lai & Daniele Vigo, 2019. "An Exact Algorithm for a Rich Vehicle Routing Problem with Private Fleet and Common Carrier," Transportation Science, INFORMS, vol. 53(4), pages 986-1000, July.
    10. Yoon, Yourim & Kim, Yong-Hyuk & Moon, Byung-Ro, 2012. "A theoretical and empirical investigation on the Lagrangian capacities of the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 366-376.
    11. Santanu S. Dey & Jean-Philippe Richard, 2009. "Linear-Programming-Based Lifting and Its Application to Primal Cutting-Plane Algorithms," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 137-150, February.
    12. Yongjia Song & James R. Luedtke & Simge Küçükyavuz, 2014. "Chance-Constrained Binary Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 735-747, November.

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