Production planning under demand uncertainty: a budgeted uncertainty approach

Romain Guillaume (), Adam Kasperski and Pawel Zielinski
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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
Pawel Zielinski: Wroclaw University of Science and Technology

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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.

Keywords: Optimization under uncertainty; Supply chain; Production planning (search for similar items in EconPapers)
Date: 2019-09-03
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Published in Annual scientific conference of Operations Research Societies - OR 2019, German Operations Research Society (GOR), Sep 2019, Dresde, Germany. pp.431-437, ⟨10.1007/978-3-030-48439-2_52⟩

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Chapter: Production Planning Under Demand Uncertainty: A Budgeted Uncertainty Approach (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03012578

DOI: 10.1007/978-3-030-48439-2_52

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