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contenu des enseignements de tronc commun - MINES ParisTech

contenu des enseignements de tronc commun - MINES ParisTech

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PROGRAMME DÉTAILLÉ DU CURSUS CHAPITRE 3109introduction of the method for thermal andmechanical applications. Newton technique,element assembly, tangent matrix. Integrationof the constitutive equations, implicit algorithms- geometrical nonlinear and contact analysis,stabilization methods. Stability problems.Localization process. Mesh adaptation- coupled problems (thermal-metallurgicalmechanicalinteractions).OPERATIONS RESEARCH IN THEINDUSTRYResponsable : J.-C. CULIOLIObjectifThis course will focus on three important conceptsof Optimization and Computer Science theory :linear programming (LP), graph theory and dynamicprogramming (DP). Its aim is to provi<strong>de</strong> ATHENSstu<strong>de</strong>nts with a solid background in OperationsResearch so they can tackle real problems in theindustry. The domain of applications is spreadingfrom planning, to logistics, from routing to andinventory control to revenue management.After a two days ”crash-course” in operationsresearch that will focus on fundamental conceptsand techniques, we will work with them on 6 testcasesthat can be found in Airlines or Transportationcompanies, Tele<strong>commun</strong>ication companies,Services and commodities.ProgrammeOR Crash-course = two days- linear Programming- dynamic Programming- duality : how it is used in algorithms- integer and Mixed-Integer Programming- graph Theory : the main mo<strong>de</strong>ls- heuristics, Branch & Bound, Column generation- advanced Mo<strong>de</strong>ling.Applications = three days- inventory control- planning and assignment problems- network optimization- scheduling- routing, Shortest-Path problems- revenue Management .OPTIMISATIONResponsables : N. PETIT, P. CARPENTIER.ObjectifCe cours commence par donner les outils <strong>de</strong> baseen optimisation avec ou sans contraintes pour lesproblèmes continus <strong>de</strong> dimension finie. Ensuite, ondéveloppe <strong>de</strong>ux thèmes. Le premier concerne lesproblèmes discrets et l’optimisation combinatoireENSEIGNEMENTS AU CHOIX2 ÈME / 3 ÈME ANNÉE

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