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

Kai Luo; Laoucine Kerbache; Mozart B. C. Menezes; Christian van Delft

doi:10.1111/j.1475-3995.2011.00829.x

Journal articles

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

Kai Luo ¹ Laoucine Kerbache ¹ Mozart B. C. Menezes ² Christian van Delft ¹

1 GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC

2 MIT-Zaragoza International Logistics Program

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

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Journal articles

Domain :

Humanities and Social Sciences / Business administration

Humanities and Social Sciences / Business administration / Operations management and information technology

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https://hal-hec.archives-ouvertes.fr/hal-00693188
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Submitted on : Wednesday, May 2, 2012 - 10:40:53 AM
Last modification on : Wednesday, September 30, 2020 - 4:36:03 PM

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

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

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