Approximability of Robust Network Design: The Directed Case

We consider robust network design problems where an uncertain traffic vector belonging to a polytope has to be dynamically routed to minimize either the network congestion or some linear reservation cost. We focus on the variant in which the underlying graph is directed. We prove that an O(?k) = O(n)-approximation can be obtained by solving the problem under static routing, where k is the number of commodities and n is the number of nodes. This improves previous results of Hajiaghayi et al. [SODA\u272005] and matches the ?(n) lower bound of Ene et al. [STOC\u272016] and the ?(?k) lower bound of Azar et al. [STOC\u272003]. Finally, we introduce a slightly more general problem version where some flow restrictions can be added. We show that it cannot be approximated within a ratio of k^{c/(log log k)} (resp. n^{c/(log log n)}) for some constant c. Making use of a weaker complexity assumption, we prove that there is no approximation within a factor of 2^{log^{1- ?} k} (resp. 2^{log^{1- ?} n}) for any ? > 0

Contribution à la simulation de l'emboutissage de préformes textiles pour applications composites.

Dans le cadre de cette thèse, une modélisation par éléments finis continue renforcée discrète est développée. Le modèle est basé sur le concept de la cellule élémentaire, avec utilisation de connecteurs pour prendre en compte la rigidité en tension de la structure, et modéliser l'anisotropie du tissu et un élément coque pour décrire la rigidité en cisaillement et gérer le frottement et le contact avec les outils lors de la simulation du procédé de préformage. Les différents éléments de ce maillage spécifique sont générés automatiquement à l'aide des scripts pythons. Associés à ce choix de modélisation, les caractéristiques du comportement sont déterminées à l'aide d'essais expérimentaux conduits sur le renfort et d'une démarche de méthode inverse. Le comportement de ces différents éléments est choisi d'être linéaire élastique en premier lieu, et par la suite à évoluer pour devenir non linéaire. Ces développements numériques sont réalisés dans le logiciel Abaqus/ Explicit. Dans un second temps le modèle développé est utilisé dans le cadre de simulation de l'étape de préformage des renforts secs. A ce titre un démonstrateur expérimental développé dans le cadre de la thèse sert à obtenir des résultats expérimentaux pour corréler ces travaux de simulations. Des comparaisons avec des simulations mono-couche, hémisphérique, permettre de mettre en évidence l'influence des paramètres de simulations mises en jeu. Dans le cadre de préformages de plusieurs plis, l'influence des caractéristiques du contact / frottement est mise en évidence. Finalement une procédure d'automatisation afin de rendre la simulation plus ergonomique dans un contexte industriel est présentée. Cette procédure consiste à générer le maillage spécifique et mettre la simulation en donné dans Catia. Les simulations peuvent ainsi se réaliser sans le passage par Abaqus/CAE.In this work, a discrete approach for the simulation of the preforming of dry woven reinforcementis proposed. A unit cell is built using elastic isotropic shells and axial connectors instead of bars and beams used in previous studies. Shell elements are used to take into account the in-plane shear stiffness and to manage contact phenomenon with the punch and die. Connectors reinforce thestructure in the yarn directions and naturally capture the specific behavior of the fabric. To identify the material parameters, uniaxial tensile tests and bias tests have been employed. A numerical algorithm,coupling Matlab and Abaqus/Explicit, is used to determine the shear parameters by an Inverse method. The model has been implemented in Abaqus to simulate hemispherical stamping.Experimental results are compared to numerical simulations, good agreement between both resultsis shown for the case of single layer forming.This model has been then used to simulate a multilayer performing and a numerical study of the effect of fiction coefficient has been performedFinally a tool which interfaces a CAD Software to the Abaqus/code has been developed.PARIS-Arts et Métiers (751132303) / SudocSudocFranceF

Boosting XML Filtering with a Scalable FPGA-based Architecture

The growing amount of XML encoded data exchanged over the Internet increases the importance of XML based publish-subscribe (pub-sub) and content based routing systems. The input in such systems typically consists of a stream of XML documents and a set of user subscriptions expressed as XML queries. The pub-sub system then filters the published documents and passes them to the subscribers. Pub-sub systems are characterized by very high input ratios, therefore the processing time is critical. In this paper we propose a "pure hardware" based solution, which utilizes XPath query blocks on FPGA to solve the filtering problem. By utilizing the high throughput that an FPGA provides for parallel processing, our approach achieves drastically better throughput than the existing software or mixed (hardware/software) architectures. The XPath queries (subscriptions) are translated to regular expressions which are then mapped to FPGA devices. By introducing stacks within the FPGA we are able to express and process a wide range of path queries very efficiently, on a scalable environment. Moreover, the fact that the parser and the filter processing are performed on the same FPGA chip, eliminates expensive communication costs (that a multi-core system would need) thus enabling very fast and efficient pipelining. Our experimental evaluation reveals more than one order of magnitude improvement compared to traditional pub/sub systems.Comment: CIDR 200

Analysis of the blank holder force effect on the preforming process using a simple discrete approach

Simulation of the dry reinforcement preforming, first step of the Resin Transfer Moulding process, become necessary to determine the feasibility of the forming process, compute the fiber directions in the final composite component, and optimize process parameters during this step. Contrary to geometrical approaches, based on fishnet algorithms [1, 2], finite element methods can take into account the actual physical parameters, the real boundary conditions and the mechanical behaviour of the textile reinforcement [3, 4]. The fabric can be modelled either as continuum media with specific material behaviour [5, 6], or using discrete structural elements to describe the textile structure at the mesoscopic scale [7, 8]. A semi-discrete approach, which is a compromise between the above continuous and discrete approaches [9, 10], is also used for simulation. A discrete approach for the simulation of the preforming of dry woven reinforcement has been proposed and presented in a previous paper [11]. This model is based on a “unit cell” formulated with elastic isotropic shells coupled to axial connectors. The connectors, which replace bars or beams largely studied in other discrete approaches [12], reinforce the structure in the yarn directions and naturally capture the specific anisotropic behaviour of fabric. Shell elements are used to take into account the in-plane shear stiffness and to manage contact phenomena with the punch and die. The linear characteristic of the connectors [11], has been extended to a non linear behaviour in the present paper to better account for fabric undulation. Using this numerical model, we propose, in this work to study the effect of process parameters on the woven fabric deformation during the performing step. The emphasis will be placed on the analysis of the influence of the blank holder pressure on the shear angle distribution.This work has been undertaken within the framework of the Défi composite project. The authors would like to thank Oséo for its financial support, the project leader Airbus-France and other partners (EADS IW and LoireTech) for provided facilities