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- Elina Mancinelli, Guy Cohen, Stéphane Gaubert, Jean-Pierre Quadrat, Edmundo Rofman

We present a hierarchical way of designing the traffic light control of regular towns. We first give a a model for light synchronization based on Petri nets and minplus algebra. Using this modelling we decompose the problem in three parts : – computation of the cycle length of each traffic light, – computation of the starting time of each traffic light… (More)

- Jean Clairambault, Vladimir Flores, Benoit Perthame, Melina Rapacioli, Edmundo Rofman, Rafael Verdes
- 2010

How far is neuroepithelial cell proliferation in the developing central nervous system a deterministic process? Or, to put it in a more precise way, how accurately can it be described by a deterministic mathematical model? To provide tracks to answer this question, a deterministic system of transport and diffusion partial differential equations, both… (More)

the present work is devoted to describe a set of rules explaining the discriminating versus non-discriminating behavior of the di-basic stages and to characterize the role of each base in determining such a behavior. Bases are analyze as dual entities characterized by its chemical type and the number of H bonds involved in the codon-anticodon interaction. A… (More)

- Elina Mancinelli, Guy Cohen, Stéphane Gaubert, Jean-Pierre Quadrat, Edmundo Rofman
- 2001

We present a hierarchical way of designing the traffic light control of regular towns. We first give a a model for light synchronization based on Petri nets and minplus algebra. Using this modelling we decompose the problem in three parts : – computation of the cycle length of each traffic light, – computation of the starting time of each traffic light… (More)

We consider the numerical resolution of hierarchical inventory problems under global optimization. First we describe the model as well as the dynamical stochastic system and the impulse controls involved. Next we characterize the optimal cost function and we formulate the Hamilton-Jacobi-Bellman equations. We present a numerical scheme and a fast algorithm… (More)

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