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Production Planning Under Demand Uncertainty: A Budgeted Uncertainty Approach

In: Operations Research Proceedings 2019

Author

Listed:
  • Romain Guillaume

    (Université de Toulouse-IRIT)

  • Adam Kasperski

    (Wrocław University of Science and Technology)

  • Paweł Zieliński

    (Wrocław University of Science and Technology)

Abstract

The paper deals with a version of the capacitated single-item lot sizing problem with backordering under uncertainty. The interval representation of uncertain cumulative demands is considered. Two its variants: the discrete budgeted uncertainty and the continuous budgeted uncertainty, are examined. In order to choose a robust production plan, for the problem under consideration, that hedges against the uncertainty the well-known minmax criterion is adopted. Polynomial and pseudopolynomial methods for finding a robust production plan, respectively, under the discrete and continuous budgeted uncertainty are proposed.

Suggested Citation

  • Romain Guillaume & Adam Kasperski & Paweł Zieliński, 2020. "Production Planning Under Demand Uncertainty: A Budgeted Uncertainty Approach," Operations Research Proceedings, in: Janis S. Neufeld & Udo Buscher & Rainer Lasch & Dominik Möst & Jörn Schönberger (ed.), Operations Research Proceedings 2019, pages 431-437, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-48439-2_52
    DOI: 10.1007/978-3-030-48439-2_52
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