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dc.contributor.authorJouini, Elyès
HAL ID: 6654
dc.contributor.authorChazal, Marie
dc.contributor.authorTahraoui, Rabah
dc.date.accessioned2009-05-30T07:55:06Z
dc.date.available2009-05-30T07:55:06Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/185
dc.descriptionLa version attachée à cette notice est la version soumise à publication.
dc.language.isoenen
dc.subjectProduction Planningen
dc.subjectInventory Managementen
dc.subjectIntegro-differential Equationsen
dc.subject.ddc332en
dc.subject.classificationjelD21en
dc.subject.classificationjelD42en
dc.titleProduction Planning and Inventories Optimization: A Backward Approach in the Convex Storage Cost Caseen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe 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 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. In Chazal et al. [Chazal, M., Jouini, E., Tahraoui, R., 2003. Production planning and inventories optimization with a general storage cost function. Nonlinear Analysis 54, 1365–1395], 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 planning problem to the study of a backward integro-differential equation, from which we obtain an explicit construction of the optimal plan.en
dc.relation.isversionofjnlnameJournal of Mathematical Economics
dc.relation.isversionofjnlvol44en
dc.relation.isversionofjnlissue9-10en
dc.relation.isversionofjnldate2008-09
dc.relation.isversionofjnlpages997-1023en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jmateco.2007.04.011en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelEconomie financièreen


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