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A network flow model for the capacitated lot-sizing problem

Listed author(s):
  • Armentano, Vinícius A.
  • França, Paulo M.
  • de Toledo, Franklina M. B.
Registered author(s):

    The lot-sizing problem considered in this paper consists in planning the production of multiple items on a single machine over a finite planning horizon divided into time periods. The objective of the problem is to determine a minimum cost production plan that meets the forecast demand for the items. The mathematical model considers setup time and setup cost, and is represented as a minimum cost network flow problem. A branch-and-bound method is proposed for solving the model. The performance of the method is evaluated by using numerical experiments for various demand patterns and values of cost parameters.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(98)00045-0
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    Article provided by Elsevier in its journal Omega.

    Volume (Year): 27 (1999)
    Issue (Month): 2 (April)
    Pages: 275-284

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    Handle: RePEc:eee:jomega:v:27:y:1999:i:2:p:275-284
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    1. William W. Trigeiro & L. Joseph Thomas & John O. McClain, 1989. "Capacitated Lot Sizing with Setup Times," Management Science, INFORMS, vol. 35(3), pages 353-366, March.
    2. Moustapha Diaby & Harish C. Bahl & Mark H. Karwan & Stanley Zionts, 1992. "A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing," Management Science, INFORMS, vol. 38(9), pages 1329-1340, September.
    3. Marc Salomon & Leo G. Kroon & Roelof Kuik & Luk N. Van Wassenhove, 1991. "Some Extensions of the Discrete Lotsizing and Scheduling Problem," Management Science, INFORMS, vol. 37(7), pages 801-812, July.
    4. Maes, Johan & McClain, John O. & Van Wassenhove, Luk N., 1991. "Multilevel capacitated lotsizing complexity and LP-based heuristics," European Journal of Operational Research, Elsevier, vol. 53(2), pages 131-148, July.
    5. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    6. Lozano, Sebastian & Larraneta, Juan & Onieva, Luis, 1991. "Primal-dual approach to the single level capacitated lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 51(3), pages 354-366, April.
    7. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    8. Diaby, M. & Bahl, H. C. & Karwan, M. H. & Zionts, S., 1992. "Capacitated lot-sizing and scheduling by Lagrangean relaxation," European Journal of Operational Research, Elsevier, vol. 59(3), pages 444-458, June.
    9. M. Florian & J. K. Lenstra & A. H. G. Rinnooy Kan, 1980. "Deterministic Production Planning: Algorithms and Complexity," Management Science, INFORMS, vol. 26(7), pages 669-679, July.
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