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An objective hyperplane search procedure for solving the general all-integer linear programming (ILP) problem

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  • Joseph, Anito
  • Gass, Saul I.
  • Bryson, Noel

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  • Joseph, Anito & Gass, Saul I. & Bryson, Noel, 1998. "An objective hyperplane search procedure for solving the general all-integer linear programming (ILP) problem," European Journal of Operational Research, Elsevier, vol. 104(3), pages 601-614, February.
    • Handle: RePEc:eee:ejores:v:104:y:1998:i:3:p:601-614
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    References listed on IDEAS

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    1. Robert M. Saltzman & Frederick S. Hillier, 1992. "A Heuristic Ceiling Point Algorithm for General Integer Linear Programming," Management Science, INFORMS, vol. 38(2), pages 263-283, February.
    2. Fred Glover, 1975. "Surrogate Constraint Duality in Mathematical Programming," Operations Research, INFORMS, vol. 23(3), pages 434-451, June.
    3. Fred Glover, 1965. "A Multiphase-Dual Algorithm for the Zero-One Integer Programming Problem," Operations Research, INFORMS, vol. 13(6), pages 879-919, December.
    4. S. Rajagopalan & Andreas C. Soteriou, 1994. "Capacity Acquisition and Disposal with Discrete Facility Sizes," Management Science, INFORMS, vol. 40(7), pages 903-917, July.
    5. Robert M. Saltzman & Frederick S. Hillier, 1991. "An exact ceiling point algorithm for general integer linear programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 53-69, February.
    6. A. M. Geoffrion, 1969. "An Improved Implicit Enumeration Approach for Integer Programming," Operations Research, INFORMS, vol. 17(3), pages 437-454, June.
    7. Frederick S. Hillier, 1969. "A Bound-and-Scan Algorithm for Pure Integer Linear Programming with General Variables," Operations Research, INFORMS, vol. 17(4), pages 638-679, August.
    8. Egon Balas, 1967. "Discrete Programming by the Filter Method," Operations Research, INFORMS, vol. 15(5), pages 915-957, October.
    9. Frederick S. Hillier, 1969. "Efficient Heuristic Procedures for Integer Linear Programming with an Interior," Operations Research, INFORMS, vol. 17(4), pages 600-637, August.
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    Cited by:

    1. Joseph, A. & Gass, S. I., 2002. "A framework for constructing general integer problems with well-determined duality gaps," European Journal of Operational Research, Elsevier, vol. 136(1), pages 81-94, January.

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