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Rounding Off to Powers of Two in Continuous Relaxations of Capacitated Lot Sizing Problems

Author

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  • Robin Roundy

    (School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, Ithaca, New York 14853)

Abstract

In the capacitated version of the Divide and Conquer algorithm for lot sizing in multi-stage production/inventory problems, feasibility is often lost when the reorder intervals are rounded off to powers of two. We propose a new algorithm for rounding off the reorder intervals which always produces a feasible policy. We have shown that the relative increase in cost that occurs when the intervals are rounded off using this algorithm cannot exceed 44%, and that for systems with a single capacity machine (including the ELSP), the cost increase cannot exceed 6%. Computational experience with industrial data sets indicates that the algorithm performs very well.

Suggested Citation

  • Robin Roundy, 1989. "Rounding Off to Powers of Two in Continuous Relaxations of Capacitated Lot Sizing Problems," Management Science, INFORMS, vol. 35(12), pages 1433-1442, December.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:12:p:1433-1442
    DOI: 10.1287/mnsc.35.12.1433
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