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Article dans une revue Nonlinear Analysis: Theory, Methods and Applications Année : 2003

Production planning and inventories optimization with a general storage cost function

Résumé

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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halshs-00167148, version 1 (16-08-2007)

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  • HAL Id : halshs-00167148 , version 1

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Elyès Jouini, Marie Chazal, Rabah Tharaoui. Production planning and inventories optimization with a general storage cost function. Nonlinear Analysis: Theory, Methods and Applications, 2003, pp.1365- 1395. ⟨halshs-00167148⟩
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