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Production planning and inventories optimization with a general storage cost function

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Date
2003
Dewey
Economie financière
Sujet
Production Planning; Inventory Management; Storage Costs; Non-Convex Optimization; Calculus of Variations
JEL code
D24; O21
Journal issue
Nonlinear Analysis: Theory, Methods & Applications
Volume
54
Number
8
Publication date
09-2003
Article pages
1365– 1395
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/S0362-546X(03)00191-3
URI
https://basepub.dauphine.fr/handle/123456789/360
Collections
  • CEREMADE : Publications
Metadata
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Author
Tharaoui, Rabah
Chazal, Marie
Jouini, Elyès
Type
Article accepté pour publication ou publié
Abstract (EN)
We study the deterministic optimization problem of a profit-maximizing firm which plans its sales/production schedule. The Firm knows the revenue associated to a given level of sales, as well as its production and storage costs. The revenue and the production cost are assumed to be, respectively, concave and convex whereas the cost of storage has no particular properties of convexity. First, in spite of this non-convexity, we give an existence result. Second, from the necessary conditions, we derive some precise qualitative description of the optimal plan. In particular, we obtain that inventory accumulation is not optimal.

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