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Lot sizing and scheduling: Survey and extensions

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  • Drexl, Andreas
  • Kimms, Alf

Abstract

This contribution summarizes recent work in the field of lot sizing and scheduling. The objective is not to give a comprehensive literature survey, but to explain differences of formal models and to provide some first readings recommendations. Our focus is on capacitated, dynamic, and deterministic cases. To underscore the importance of the research efforts, current practice is described and its shortcomings are exposed. Mathematical programming models where the planning horizon is subdivided into several discrete periods are given for both, approaches that are well-established and approaches which may represent tomorrow's state of the art. Two research directions are discussed in more detail: Continuous time models and multi-level lot sizing and scheduling. The paper concludes with some advice for future research activities.

Suggested Citation

  • Drexl, Andreas & Kimms, Alf, 1996. "Lot sizing and scheduling: Survey and extensions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 421, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:421
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    References listed on IDEAS

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    1. Jose Juan Carreno, 1990. "Economic Lot Scheduling for Multiple Products on Parallel Identical Processors," Management Science, INFORMS, vol. 36(3), pages 348-358, March.
    2. Blazewicz, Jacek & Domschke, Wolfgang & Pesch, Erwin, 1996. "The job shop scheduling problem: Conventional and new solution techniques," European Journal of Operational Research, Elsevier, vol. 93(1), pages 1-33, August.
    3. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    4. Cattrysse, Dirk & Maes, Johan & Van Wassenhove, Luk N., 1990. "Set partitioning and column generation heuristics for capacitated dynamic lotsizing," European Journal of Operational Research, Elsevier, vol. 46(1), pages 38-47, May.
    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. Gabriel R. Bitran & Horacio H. Yanasse, 1982. "Computational Complexity of the Capacitated Lot Size Problem," Management Science, INFORMS, vol. 28(10), pages 1174-1186, October.
    7. Dirk Cattrysse & Marc Salomon & Roelof Kuik & Luk N. Van Wassenhove, 1993. "A Dual Ascent and Column Generation Heuristic for the Discrete Lotsizing and Scheduling Problem with Setup Times," Management Science, INFORMS, vol. 39(4), pages 477-486, April.
    8. BARANY, Imre & VAN ROY, Tony J. & WOLSEY, Laurence A., 1984. "Strong formulations for multi-item capacitated lot sizing," LIDAM Reprints CORE 590, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. 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.
    10. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    11. Gary D. Eppen & R. Kipp Martin, 1987. "Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 832-848, December.
    12. Awi Federgruen & Michal Tzur, 1995. "Fast Solution and Detection of Minimal Forecast Horizons in Dynamic Programs with a Single Indicator of the Future: Applications to Dynamic Lot-Sizing Models," Management Science, INFORMS, vol. 41(5), pages 874-893, May.
    13. Gregory Dobson, 1992. "The Cyclic Lot Scheduling Problem with Sequence-Dependent Setups," Operations Research, INFORMS, vol. 40(4), pages 736-749, August.
    14. Harish C. Bahl & Larry P. Ritzman & Jatinder N. D. Gupta, 1987. "OR Practice—Determining Lot Sizes and Resource Requirements: A Review," Operations Research, INFORMS, vol. 35(3), pages 329-345, June.
    15. Imre Barany & Tony J. Van Roy & Laurence A. Wolsey, 1984. "Strong Formulations for Multi-Item Capacitated Lot Sizing," Management Science, INFORMS, vol. 30(10), pages 1255-1261, October.
    16. Fleischmann, Bernhard, 1994. "The discrete lot-sizing and scheduling problem with sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 75(2), pages 395-404, June.
    17. Dauzere-Peres, Stephane & Lasserre, Jean-Bernard, 1994. "Integration of lotsizing and scheduling decisions in a job-shop," European Journal of Operational Research, Elsevier, vol. 75(2), pages 413-426, June.
    18. Atkins, Derek R., 1994. "A simple lower bound to the dynamic assembly problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 462-466, June.
    19. Awi Federgruen & Michal Tzur, 1994. "Minimal Forecast Horizons and a New Planning Procedure for the General Dynamic Lot Sizing Model: Nervousness Revisited," Operations Research, INFORMS, vol. 42(3), pages 456-468, June.
    20. Gabriel R. Bitran & Hirofumi Matsuo, 1986. "Approximation Formulations for the Single-Product Capacitated Lot Size Problem," Operations Research, INFORMS, vol. 34(1), pages 63-74, February.
    21. 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.
    22. De Bodt, Marc A. & Gelders, Ludo F. & Van Wassenhove, Luk N., 1984. "Lot sizing under dynamic demand conditions: A review," Engineering Costs and Production Economics, Elsevier, vol. 8(3), pages 165-187, December.
    23. Reza H. Ahmadi & Sriram Dasu & Christopher S. Tang, 1992. "The Dynamic Line Allocation Problem," Management Science, INFORMS, vol. 38(9), pages 1341-1353, September.
    24. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February.
    25. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
    26. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    27. Alok Aggarwal & James K. Park, 1993. "Improved Algorithms for Economic Lot Size Problems," Operations Research, INFORMS, vol. 41(3), pages 549-571, June.
    28. Suresh Chand & Suresh P. Sethi & Jean-Marie Proth, 1990. "Existence of Forecast Horizons in Undiscounted Discrete-Time Lot Size Models," Operations Research, INFORMS, vol. 38(5), pages 884-892, October.
    29. Guillermo Gallego & Dev Joneja, 1994. "Economic Lot Scheduling Problem with Raw Material Considerations," Operations Research, INFORMS, vol. 42(1), pages 92-101, February.
    30. 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.
    31. Donald Erlenkotter, 1990. "Ford Whitman Harris and the Economic Order Quantity Model," Operations Research, INFORMS, vol. 38(6), pages 937-946, December.
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    Cited by:

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