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Production planning and inventories optimization with a general storage cost function

Author

Listed:
  • Elyès Jouini

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Marie Chazal
  • Rabah Tharaoui

Abstract

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.

Suggested Citation

  • Elyès Jouini & Marie Chazal & Rabah Tharaoui, 2003. "Production planning and inventories optimization with a general storage cost function," Post-Print halshs-00167148, HAL.
    • Handle: RePEc:hal:journl:halshs-00167148
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    Cited by:

    1. Chazal, Marie & Jouini, Elyès & Tahraoui, Rabah, 2008. "Production planning and inventories optimization: A backward approach in the convex storage cost case," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 997-1023, September.

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