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Consistency of the Disaggregation Process in Hierarchical Planning

Author

Listed:
  • J. Erschler

    (Institut National des Sciences Appliquées, Toulouse, France)

  • G. Fontan

    (Université Paul Sabatier, Toulouse, France)

  • C. Merce

    (Institut National des Sciences Appliquées, Toulouse, France)

Abstract

This paper deals with the planning process of a manufacturing system in which the aggregation of products sharing similar characteristics leads to a hierarchical structure. It gives special attention to the consistency of decisions in a two-level structure, and presents necessary and sufficient conditions for consistency of a disaggregation procedure. Using a subset of these conditions improves upon the disaggregation procedure proposed by Bitran and Hax (Bitran, G. R., A. C. Hax. 1981. Disaggregation and resource allocation using convex knapsack problems with bounded variables. Mgmt. Sci. 27 431–441.).

Suggested Citation

  • J. Erschler & G. Fontan & C. Merce, 1986. "Consistency of the Disaggregation Process in Hierarchical Planning," Operations Research, INFORMS, vol. 34(3), pages 464-469, June.
    • Handle: RePEc:inm:oropre:v:34:y:1986:i:3:p:464-469
    DOI: 10.1287/opre.34.3.464
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    Citations

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    Cited by:

    1. Gfrerer, Helmut & Zapfel, Gunther, 1995. "Hierarchical model for production planning in the case of uncertain demand," European Journal of Operational Research, Elsevier, vol. 86(1), pages 142-161, October.
    2. Huang, Hai-Jun & Xu, Gang, 1998. "Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems," European Journal of Operational Research, Elsevier, vol. 105(1), pages 52-65, February.
    3. Sali, Mustapha & Ghrab, Yahya & Chatras, Clément, 2023. "Optimal product aggregation for sales and operations planning in mass customisation context," International Journal of Production Economics, Elsevier, vol. 263(C).
    4. Vicens, E. & Alemany, M. E. & Andres, C. & Guarch, J. J., 2001. "A design and application methodology for hierarchical production planning decision support systems in an enterprise integration context," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 5-20, December.
    5. Ozdamar, Linet & Bozyel, M. Ali & Birbil, S. Ilker, 1998. "A hierarchical decision support system for production planning (with case study)," European Journal of Operational Research, Elsevier, vol. 104(3), pages 403-422, February.
    6. Bitran, Gabriel R. & Tirupati, Devanath., 1989. "Hierarchical production planning," Working papers 3017-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. Zapfel, Gunther, 1996. "Production planning in the case of uncertain individual demand Extension for an MRP II concept," International Journal of Production Economics, Elsevier, vol. 46(1), pages 153-164, December.

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