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Production planning under demand uncertainty: a budgeted uncertainty approach

Author

Listed:
  • Romain Guillaume

    (IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage - IRIT - Institut de recherche en informatique de Toulouse - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - UT - Université de Toulouse - CNRS - Centre National de la Recherche Scientifique - Toulouse INP - Institut National Polytechnique (Toulouse) - UT - Université de Toulouse - TMBI - Toulouse Mind & Brain Institut - UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - UT - Université de Toulouse, UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse)

  • Adam Kasperski

    (Wroclaw University of Science and Technology)

  • Pawel Zielinski

    (Wroclaw 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 & Pawel Zielinski, 2019. "Production planning under demand uncertainty: a budgeted uncertainty approach," Post-Print hal-03012578, HAL.
    • Handle: RePEc:hal:journl:hal-03012578
    DOI: 10.1007/978-3-030-48439-2_52
    as

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