22 citations · 84 across the 21 of their papers we have counts for
18 papers · 1 filter
Dynamic programming systems for modeling and control of the traffic in transportation networks
Nadir Farhi
This thesis is entitled Dynamic programming systems for modeling and control of the traffic in transportation networks. Two parts are distinguished in this dissertation: 1) methods…
Comprehensive passenger demand-dependent traffic control on a metro line with a junction and a derivation of the traffic phases
Florian Schanzenbacher, Nadir Farhi, Fabien Leurent +1
This paper is an extended abstract on a traffic model for the train dynamics on a metro line with a junction. The dynamic model includes control laws on the dwell and on the run ti…
Real-time control of metro train dynamics with minimization of train time-headway variance
Florian Schanzenbacher, Nadir Farhi, Fabien Leurent +1
We present here a real-time control model for the train dynamics in a linear metro line system. The model describes the train dynamics taking into account average passenger arrival…
A discrete event traffic model explaining the traffic phases of the train dynamics on a linear metro line with demand-dependent control
Florian Schanzenbacher, Nadir Farhi, Fabien Leurent +1
In this paper we present a mathematical model of the train dynamics in a linear metro line system with demand-dependent run and dwell times. On every segment of the line, we consid…
A discrete event traffic model explaining the traffic phases of the train dynamics in a metro line system with a junction
Florian Schanzenbächer, Nadir Farhi, Zoi Christoforou +2
This paper presents a mathematical model for the train dynamics in a mass-transit metro line system with one symmetrically operated junction. We distinguish three parts: a central…
M/G/c/c state dependent queuing model for a road traffic system of two sections in tandem
Nacira Guerouahane, Djamil Aissani, Nadir Farhi +1
We propose in this article a M/G/c/c state dependent queuing model for road traffic flow. The model is based on finite capacity queuing theory which captures the stationary density…
Robust adaptive strategies for the guidance of users in road networks
Farida Manseur, Nadir Farhi, Habib Haj-Salem +1
We present an algorithm for optimal guidance of users in road networks. It is a "stochastic-on-time-arrival (SOTA)"-like algorithm which calculates optimal guidance strategies with…
Traffic Modeling and Real-time Control for Metro Lines
Nadir Farhi, Cyril Nguyen Van Phu, Habib Haj-Salem +1
We present in this article traffic flow and control models for the train dynamics in metro lines. The first model, written in the max-plus algebra, takes into account minimum runni…
A semi-decentralized control strategy for urban traffic
Nadir Farhi, Cyril Nguyen Van Phu, Mouna Amir +2
We present in this article a semi-decentralized approach for urban traffic control, based on the TUC (Traffic responsive Urban Control) strategy. We assume that the control is cent…
An algebraic approach for modeling and simulation of road traffic networks
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that…
The Traffic Phases of Road Networks
Nadir Farhi, Maurice Goursat, Jean-Pierre Quadrat
We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents main…
Multi-Anticipative Piecewise-Linear Car-Following Model
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We propose in this article an extension of the piecewise linear car-following model to multi-anticipative driving. As in the one-car-anticipative model, the stability and the stati…
The Logit lane assignment model: first results
Nadir Farhi, Habib Haj-Salem, Megan Khoshyaran +4
The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each…
Algebraic Approach for Performance Bound Calculus on Transportation Networks (Road Network Calculus)
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We propose in this article an adaptation of the basic techniques of the deterministic network calculus theory to the road traffic flow theory. Network calculus is a theory based on…
Piecewise linear car-following modeling
Nadir Farhi
We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics d…
Fundamental Diagrams of 1D-Traffic Flow by Optimal Control Models
Nadir Farhi
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 betwe…
About Dynamical Systems Appearing in the Microscopic Traffic Modeling
Nadir Farhi, Maurice Goursat, Jean-Pierre Quadrat
Motivated by microscopic traffic modeling, we analyze dynamical systems which have a piecewise linear concave dynamics not necessarily monotonic. We introduce a deterministic Petri…
Solving the additive eigenvalue problem associated to a dynamics of a 2D-traffic system
Nadir Farhi
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…