Paris Dauphine University

About: Paris Dauphine University is a education organization based out in Paris, France. It is known for research contribution in the topics: Context (language use) & Population. The organization has 1766 authors who have published 6909 publications receiving 162747 citations. The organization is also known as: Paris Dauphine & Dauphine.

Nonsmooth semipermeable barriers, Isaacs' equation, and application to a differential game with one target and two players

Abstract: We study the target problem which is a differential game where one of the players aims at reaching a target while the other player aims at avoiding this target forever We characterize the victory domains of the players by means of geometric conditions and prove that the boundary of the victory domains is a nonsmooth semipermeable surface, ie, is a solution (in a weak sense) of the Isaacs equation: supuinfv 〈f (x, u, v),p〉 = 0, wheref is the dynamic of the system,u andv are the respective controls of the players, andp is a normal to the boundary of the victory domains at the pointx

Line feeding optimization for Just in Time assembly lines: an application to the automotive industry

Abstract: The performance of mixed-model assembly lines used in sectors such as the automotive industry depends on the availability of a large number of components that have to be supplied to the line on time and at minimum cost. In such settings, components may have different features such as volume, weight, bill of material coefficient, etc. Additionally, a given component may have several alternative variants among which a single one is used in the assembly of end products. Each variant is thus characterized by a varying degree of usage rate. Hence, the diversity of parts requires the selection of the best assembly line feeding mode that aims at minimizing the average total operating cost which mainly consists of labor costs associated with parts preparation before assembly, transportation to the line, picking operations during assembly, as well as parts storage cost. This paper proposes an optimization model that assigns each individual component to the most efficient line feeding mode among three alternatives which are line stocking, kitting and sequencing modes. The developed mixed integer program is applied to a first tier supplier plant in the automotive sector. Based on this model, insight is gained on the trade-off to be considered when deciding the more appropriate line feeding mode for each individual component and how system parameters impact this trade-off.

Sur les équations différentielles ordinaires et les équations de transport

Abstract: Resume Nous etudions dans cette Note la resolution d'equations differentielles ordinaires pour des champs de vecteurs peu reguliers a divergence nulle. Apres avoir observe qu'il est equivalent de resoudre les equations de transport associees (i.e. les equations de Liouville), nous montrons des resultats d'existence, d'unicite et de stabilite pour des champs de vecteurs generiques dans L 1 ou pour des champs de vecteurs W 1.1 ≪ par morceaux ≫.