Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : We study the deterministic optimization problem of a profit-maximizing firm which plans its sales /production schedule .The firm controls both its production and sales rates and knows the revenue associated to given level of sales ,as well as its production concave and convex .In Chazal and al.(2003),we provide an existence result and derive some necessary conditions of optimality .Here ,we further assume that the storage cost is convex .This allows us to relate the optimal planing problem to the study of a backward integro-differential equation ,from which we obtain an explicit construction of the optimal plan .
 
 
Production planing and inventories optimization:a backward approach in the convex storage cost case
CHAZAL M., JOUINI Elyès, TAHRAOUI Rabah
2007-29
05-07-2007

 
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