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Branch-and-price algorithms for the dual bin packing and maximum cardinality bin packing problem

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  • Peeters, Marc
  • Degraeve, Zeger

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  • Peeters, Marc & Degraeve, Zeger, 2006. "Branch-and-price algorithms for the dual bin packing and maximum cardinality bin packing problem," European Journal of Operational Research, Elsevier, vol. 170(2), pages 416-439, April.
    • Handle: RePEc:eee:ejores:v:170:y:2006:i:2:p:416-439
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    1. Vanderbeck, F. & Wolsey, L. A., 1996. "An exact algorithm for IP column generation," LIDAM Reprints CORE 1242, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Martin Savelsbergh, 1997. "A Branch-and-Price Algorithm for the Generalized Assignment Problem," Operations Research, INFORMS, vol. 45(6), pages 831-841, December.
    3. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
    4. P. C. Gilmore & R. E. Gomory, 1963. "A Linear Programming Approach to the Cutting Stock Problem---Part II," Operations Research, INFORMS, vol. 11(6), pages 863-888, December.
    5. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    6. Zeger Degraeve & Marc Peeters, 2003. "Optimal Integer Solutions to Industrial Cutting-Stock Problems: Part 2, Benchmark Results," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 58-81, February.
    7. Zeger Degraeve & Linus Schrage, 1999. "Optimal Integer Solutions to Industrial Cutting Stock Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 406-419, November.
    8. Silvano Martello & David Pisinger & Paolo Toth, 1999. "Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem," Management Science, INFORMS, vol. 45(3), pages 414-424, March.
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    Cited by:

    1. Martinovic, J. & Scheithauer, G., 2016. "Integer linear programming models for the skiving stock problem," European Journal of Operational Research, Elsevier, vol. 251(2), pages 356-368.
    2. Rico Walter & Martin Wirth & Alexander Lawrinenko, 2017. "Improved approaches to the exact solution of the machine covering problem," Journal of Scheduling, Springer, vol. 20(2), pages 147-164, April.
    3. Walter, Rico & Lawrinenko, Alexander, 2017. "Lower bounds and algorithms for the minimum cardinality bin covering problem," European Journal of Operational Research, Elsevier, vol. 256(2), pages 392-403.
    4. John Martinovic & Guntram Scheithauer, 2018. "Combinatorial investigations on the maximum gap for skiving stock instances of the divisible case," Annals of Operations Research, Springer, vol. 271(2), pages 811-829, December.
    5. John Martinovic & Guntram Scheithauer, 2016. "The proper relaxation and the proper gap of the skiving stock problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(3), pages 527-548, December.
    6. Wang, Danni & Xiao, Fan & Zhou, Lei & Liang, Zhe, 2020. "Two-dimensional skiving and cutting stock problem with setup cost based on column-and-row generation," European Journal of Operational Research, Elsevier, vol. 286(2), pages 547-563.
    7. Vadim M. Kartak & Artem V. Ripatti, 2019. "Large proper gaps in bin packing and dual bin packing problems," Journal of Global Optimization, Springer, vol. 74(3), pages 467-476, July.

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