Publications related to Approximating dynamic equilibrium conditions with macroscopic fundamental diagrams

Modeling Route Choice Behavior From Smart-phone GPS data

Michel Bierlaire, Jingmin Chen, Jeffrey Newman

Abstract GPS capable smart phones are emerging survey tools in transportation research field, especially in modeling individuals' mobility patterns. In route choice modeling, path observations need to be generated explicitly for the estimation. It is a cha ...

2009

A Class Of Mean Field Interaction Models for Computer and Communication Systems

Jean-Yves Le Boudec

We consider models of

N

interacting objects, where the interaction is via a common resource and the distribution of states of all objects. We consider the case where the number of transitions per time slot per object vanishes as

N

grows. We show that, ...

2008

Route choice modeling with network-free data

Michel Bierlaire, Emma Frejinger

Route choice models are difficult to design and to estimate for various reasons. In this paper we focus on issues related to data. Indeed, real data in its original format are not related to the network used by the modeler and do therefore not correspond t ...

2008

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

We propose an extension of secant methods for nonlinear equations using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least squares approach to calibrate the linear model. We propo ...

2007

Numerical methods and models relevant to transportation applications

Michaël Clément Louis Ghislain Thémans

In this thesis, we focus on standard classes of problems in numerical optimization: unconstrained nonlinear optimization as well as systems of nonlinear equations. More precisely, we consider two types of unconstrained nonlinear optimization problems. On t ...

EPFL2007

Route choice modeling with network-free data

Michel Bierlaire, Emma Frejinger

Route choice models are difficult to design and to estimate for various reasons. In this paper we focus on issues related to data. Indeed, real data in its original format are not related to the network used by the modeler and do therefore not correspond t ...

2007

Solving noisy large scale fixed point problems and systems of nonlinear equations

Michel Bierlaire, Frank Crittin

Many complex transportation models can be formulated as fixed-point problems. Typical examples are the equilibrium-like models, motivated by the need to capture the interaction between the transport supply (that is, the infrastructure) and transport demand ...

2006

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

We propose an extension of secant methods for nonlinear equations using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least squares approach to calibrate the linear model. We propo ...

2006

Solving the anticipatory route guidance generation problem using a generalization of secant methods

Michel Bierlaire, Frank Crittin

Route guidance refers to information provided to travelers in an attempt to facilitate their decisions relative to departure time, travel mode and route. We are specifically interested in consistent anticipatory route guidance, in which real-time traffic m ...

2004

New algorithmic methods for real-time transportation problems

Frank Crittin

Two of the most basic problems encountered in numerical optimization are least-squares problems and systems of nonlinear equations. The use of more and more complex simulation tools on high performance computers requires solving problems involving an incre ...

EPFL2004

Approximating dynamic equilibrium conditions with macroscopic fundamental diagrams

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Modeling Route Choice Behavior From Smart-phone GPS data

A Class Of Mean Field Interaction Models for Computer and Communication Systems

Route choice modeling with network-free data

A multi-iterate method to solve systems of nonlinear equations

Numerical methods and models relevant to transportation applications

Route choice modeling with network-free data

Solving noisy large scale fixed point problems and systems of nonlinear equations

A multi-iterate method to solve systems of nonlinear equations

Solving the anticipatory route guidance generation problem using a generalization of secant methods

New algorithmic methods for real-time transportation problems

A Class Of Mean Field Interaction Models for Computer and Communication Systems

Numerical methods and models relevant to transportation applications

Route choice modeling with network-free data

Modeling Route Choice Behavior From Smart-phone GPS data

Solving noisy large scale fixed point problems and systems of nonlinear equations

Solving the anticipatory route guidance generation problem using a generalization of secant methods

Route choice modeling with network-free data

A multi-iterate method to solve systems of nonlinear equations

New algorithmic methods for real-time transportation problems

A multi-iterate method to solve systems of nonlinear equations