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A generalized single product and single-period inventory problem with non-linear parameters

Kai Luo, Laoucine Kerbache (kerbache@hec.fr), Mozart B. C. Menezes and Christian van Delft (vandelft@hec.fr)
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Kai Luo: GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique
Laoucine Kerbache: GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique
Mozart B. C. Menezes: MIT-Zaragoza International Logistics Program - Zaragoza Logistics Center
Christian van Delft: GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this paper, we extend the study of the classical single-period newsboy inventory problem by considering costs that are non-linear functions of the decision variable. We assume that the demand probability density function is known to the decision maker. We prove that, under some much more relaxed conditions, the total expected profit function remains concave and classical optimization methods can thus be used to obtain the global optimal solution. After that, we provide numerical examples for illustrative purpose.

Keywords: Optimization; perishable items; production; supply chain management (search for similar items in EconPapers)
Date: 2012-05
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Citations: View citations in EconPapers (1)

Published in International Transactions in Operational Research, 2012, 19 (3), pp.421-433. ⟨10.1111/j.1475-3995.2011.00829.x⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00693188

DOI: 10.1111/j.1475-3995.2011.00829.x

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