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Multi-Item Lot Size Scheduling by Heuristic Part I: With Fixed Resources

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  • E. F. Peter Newson

    (The University of Western Ontario)

Abstract

The multi-item lot size problem has been a formal management issue for some decades. The lot size decision of how much to produce (and when) usually considers the trade-off between lost productivity from frequent set-ups and short runs and the higher inventory costs arising from longer runs. When the decision must also consider shared limited production resources, the problem becomes complex. The paper is presented in two parts. Part I outlines a heuristic for solving the multi-item lot size problem given fixed production resources. The problem is initially structured as a network of unlimited capacity. An arc-cutting criterion is suggested, successively paring the unconstrained lot size optimum in low-cost increments until a feasible integer solution occurs. In Part II of this 2 part paper, the heuristic is extended to include variable capacity constraints. Computational results for both the fixed and variable capacity configurations and the bibliography conclude the presentation.

Suggested Citation

  • E. F. Peter Newson, 1975. "Multi-Item Lot Size Scheduling by Heuristic Part I: With Fixed Resources," Management Science, INFORMS, vol. 21(10), pages 1186-1193, June.
    • Handle: RePEc:inm:ormnsc:v:21:y:1975:i:10:p:1186-1193
    DOI: 10.1287/mnsc.21.10.1086
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    Cited by:

    1. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
    2. 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.
    3. Goncalves, JoseF. & Leachman, Robert C., 1998. "A hybrid heuristic and linear programming approach to multi-product machine scheduling," European Journal of Operational Research, Elsevier, vol. 110(3), pages 548-563, November.
    4. James R. Bradley & Bruce C. Arntzen, 1999. "The Simultaneous Planning of Production, Capacity, and Inventory in Seasonal Demand Environments," Operations Research, INFORMS, vol. 47(6), pages 795-806, December.
    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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