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Production planning and inventories optimization with a general storage cost function

Tharaoui, Rabah; Chazal, Marie; Jouini, Elyès (2003), Production planning and inventories optimization with a general storage cost function, Nonlinear Analysis: Theory, Methods & Applications, 54, 8, p. 1365– 1395. http://dx.doi.org/10.1016/S0362-546X(03)00191-3

Type
Article accepté pour publication ou publié
Date
2003
Journal name
Nonlinear Analysis: Theory, Methods & Applications
Volume
54
Number
8
Publisher
Elsevier
Pages
1365– 1395
Publication identifier
http://dx.doi.org/10.1016/S0362-546X(03)00191-3
Metadata
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Author(s)
Tharaoui, Rabah
Chazal, Marie
Jouini, Elyès
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.
Subjects / Keywords
Production Planning; Inventory Management; Storage Costs; Non-Convex Optimization; Calculus of Variations
JEL
D24 - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
O21 - Planning Models; Planning Policy

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