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A Lower Bounding Structure for Lot-Size Scheduling Problems

Author

Listed:
  • P. R. Kleindorfer

    (University of Pennsylvania, Philadelphia, Pennsylvania)

  • E. F. P. Newson

    (University of Western Ontario, London, Ontario)

Abstract

This paper discusses efficient methods for determining optimal lower bounds (and concomitant dual variables) for lot-size problems of both fixed and variable capacity. The approach unifies lower bounding procedures for several common forms of the problem on the basis of generalized duality theory. Through the optimal (lower bounding) dual solution, a production plan can be generated that when “rounded” to feasibility may be optimal or near optimal for problems of appropriate configuration.

Suggested Citation

  • P. R. Kleindorfer & E. F. P. Newson, 1975. "A Lower Bounding Structure for Lot-Size Scheduling Problems," Operations Research, INFORMS, vol. 23(2), pages 299-311, April.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:2:p:299-311
    DOI: 10.1287/opre.23.2.299
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    Cited by:

    1. Jans, R.F. & Degraeve, Z., 2005. "Modeling Industrial Lot Sizing Problems: A Review," ERIM Report Series Research in Management ERS-2005-049-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.
    2. Petering, Matthew E.H. & Chen, Xi & Hsieh, Wen-Huan, 2019. "Inventory control with flexible demand: Cyclic case with multiple batch supply and demand processes," International Journal of Production Economics, Elsevier, vol. 212(C), pages 60-77.
    3. Ioannis Fragkos & Zeger Degraeve & Bert De Reyck, 2016. "A Horizon Decomposition Approach for the Capacitated Lot-Sizing Problem with Setup Times," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 465-482, August.
    4. 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.
    5. 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.

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