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Some Extensions of the Discrete Lotsizing and Scheduling Problem

Author

Listed:
  • Marc Salomon

    (Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Leo G. Kroon

    (Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Roelof Kuik

    (Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Luk N. Van Wassenhove

    (INSEAD, Boulevard de Constance, F-77305 Fontainebleau Cedex, France)

Abstract

In this paper the Discrete Lotsizing and Scheduling Problem (DLSP) is considered. DLSP relates to capacitated lotsizing as well as to job scheduling problems and is concerned with determining a feasible production schedule with minimal total costs in a single-stage manufacturing process. This involves the sequencing and sizing of production lots for a number of different items over a discrete and finite planning horizon. Feasibility of production schedules is subject to production quantities being within bounds set by capacity. A problem classification for DLSP is introduced and results on computational complexity are derived for a number of single and parallel machine problems. Furthermore, efficient algorithms are discussed for solving special single and parallel machine variants of DLSP.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:7:p:801-812
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    File URL: http://dx.doi.org/10.1287/mnsc.37.7.801
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