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Aggregation of Product Data for Hierarchical Production Planning

Author

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  • Sven Axsäter

    (Link⊙ping Institute of Technology, Link⊙ping, Sweden)

Abstract

When applying an aggregate view to production planning, the production system is given a hierarchical structure. The problem description at the upper level (which is less detailed) concerns product groups and machine groups rather than individual products and machines. This means that product structures and capacity requirements also must be expressed in terms of product groups and machine groups. In this paper it is shown under what conditions a perfect aggregation of product data can be obtained. If a perfect aggregation is not possible, our problem is to find a good approximate solution. A mathematical formulation of this approximation problem and its general solution is also given.

Suggested Citation

  • Sven Axsäter, 1981. "Aggregation of Product Data for Hierarchical Production Planning," Operations Research, INFORMS, vol. 29(4), pages 744-756, August.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:4:p:744-756
    DOI: 10.1287/opre.29.4.744
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    Cited by:

    1. 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.
    2. 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).
    3. M N Jalil & R A Zuidwijk & M Fleischmann & Jo A E E van Nunen, 2011. "Spare parts logistics and installed base information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(3), pages 442-457, March.
    4. Bitran, Gabriel R. & Tirupati, Devanath., 1989. "Hierarchical production planning," Working papers 3017-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.

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