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Nadir Farhi

  1. Performance bounds in wormhole routing, a network calculus approach.

    Чт, 07/29/2010 - 15:01 — SomNambul
    Authors: Nadir Farhi, Bruno Gaujal
    Subjects: Performance
    Abstract

    We present a model of performance bound calculus on feedforward networks
    where data packets are routed under wormhole routing discipline. We are
    interested in determining maximum end-to-end delays and backlogs of messages or
    packets going from a source node to a destination node, through a given virtual
    path in the network. Our objective here is to give a network calculus approach
    for calculating the performance bounds. First we propose a new concept of
    curves that we call packet curves.

  2. Fundamental Diagrams of 1D-Traffic Flow by Optimal Control Models.

    Чт, 02/11/2010 - 16:01 — SomNambul
    Authors: Nadir Farhi
    Subjects: Optimization and Control
    Abstract

    Traffic on a circular road is described by dynamic programming equations
    associated to optimal control problems. By solving the equations analytically,
    we derive the relation between the average car density and the average car
    flow, known as the fundamental diagram of traffic. First, we present a model
    based on min-plus algebra, then we extend it to a stochastic dynamic
    programming model, then to a stochastic game model. The average car flow is
    derived as the average cost per time unit of optimal control problems, obtained
    in terms of the average car density.

  3. Solving the additive eigenvalue problem associated to a dynamics of a 2D-traffic system.

    Ср, 08/26/2009 - 14:58 — SomNambul
    Authors: Nadir Farhi
    Subjects: Optimization and Control
    Abstract

    This is a technical note where we solve the additive eigenvalue problem
    associated to a dynamics of a 2D-traffic system. The traffic modeling is not
    explained here. It is available in \cite{Far08}. It consists of a microscopic
    road traffic model of two circular roads crossing on one junction managed with
    the priority-to-the-right rule.

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