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On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra

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  • Miller, Andrew J.
  • Nemhauser, George L.
  • Savelsbergh, Martin W. P.

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  • Miller, Andrew J. & Nemhauser, George L. & Savelsbergh, Martin W. P., 2000. "On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra," European Journal of Operational Research, Elsevier, vol. 125(2), pages 298-315, September.
    • Handle: RePEc:eee:ejores:v:125:y:2000:i:2:p:298-315
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    References listed on IDEAS

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    1. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    2. Yves Pochet & Laurence A. Wolsey, 1993. "Lot-Sizing with Constant Batches: Formulation and Valid Inequalities," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 767-785, November.
    3. 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.
    4. BARANY, Imre & VAN ROY, Tony & WOLSEY, Laurence A., 1984. "Uncapacitated lot-sizing: the convex hull of solutions," LIDAM Reprints CORE 605, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, September.
    6. POCHET, Yves & WOLSEY, Laurence A., 1993. "Lot-sizing with constant batches: formulation and valid inequalities," LIDAM Reprints CORE 1066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Pochet, Y. & Wolsey, L. A., 1995. "Algorithms and reformulations for lot sizing problems," LIDAM Reprints CORE 1160, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Alper Atamtürk & Simge Küçükyavuz, 2005. "Lot Sizing with Inventory Bounds and Fixed Costs: Polyhedral Study and Computation," Operations Research, INFORMS, vol. 53(4), pages 711-730, August.
    2. Zeger Degraeve & Raf Jans, 2007. "A New Dantzig-Wolfe Reformulation and Branch-and-Price Algorithm for the Capacitated Lot-Sizing Problem with Setup Times," Operations Research, INFORMS, vol. 55(5), pages 909-920, October.
    3. Amar K. Narisetty & Jean-Philippe P. Richard & George L. Nemhauser, 2011. "Lifted Tableaux Inequalities for 0--1 Mixed-Integer Programs: A Computational Study," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 416-424, August.
    4. Chitsaz, Masoud & Cordeau, Jean-François & Jans, Raf, 2020. "A branch-and-cut algorithm for an assembly routing problem," European Journal of Operational Research, Elsevier, vol. 282(3), pages 896-910.
    5. Degraeve, Z. & Jans, R.F., 2003. "A New Dantzig-Wolfe Reformulation And Branch-And-Price Algorithm For The Capacitated Lot Sizing Problem With Set Up Times," ERIM Report Series Research in Management ERS-2003-010-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    6. Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.
    7. K S Hindi & K Fleszar & C Charalambous, 2003. "An effective heuristic for the CLSP with set-up times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 490-498, May.
    8. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.

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