Convex formulations of inverse modeling problems on systems modeled by Hamilton-Jacobi equations. Applications to traffic flow engineering

We introduce some models for vehicular traffic flow based on hyperbolic balance laws. We focus in particular on source terms for modeling highway entries and exits or local changes of the traffic flow due to inhomogeneities of the road. Rigorous well-posedness results and numerical investigations are presented. We show in particular how real phenomena (e.g. the formation of a queue) that are no...

Nowadays, intelligent transportation systems (ITS) plays an important role in transportation industry. The prominent aspect of these systems is their ability to increase safety and improve the traffic flow [1-2]. ITS achieves these goals by incorporating up-to-date information technologies of all kinds in the transportation field [3]. Among the microscopic traffic flow modeling, car following m...

Describing the behavior of traffic via mathematical modeling and computer simulation has been a challenge confronted by mathematicians in various ways throughout the last century. In this project, we introduce various existing traffic flow models and present a new, probability-based model that is a hybrid of the microscopic and macroscopic views, drawing upon current ideas in traffic flow theor...

This paper presents the confounding socket, a mechanism that makes real-time flow classification computationally infeasible by masking the protocol structure of any application’s network traffic. Current commercial QoS systems rely on well-known application characteristics such as port ranges and protocol characteristics to provide admission control. The confounding socket invalidates these cri...

This paper investigates an important algorithm that is used in both the Traffic-Flow Analysis and the Entity Flow-phase Analysis. These methods are similar to each other and can be used for the fast and approximate (performance) analysis of Information and Communication Technology (ICT) systems and Business Process (BP) systems. Both methods contain an algorithm for the spatial distribution of ...

Multi-agent systems allow the simulation of complex phenomena that cannot easily be described analytically. Multi-agent approaches are often based on coordinating agents whose actions and interactions are related to the emergence of the phenomenon to be simulated. In this article, we focus on road traffic simulation, specifically the design of a road traffic simulation tool able to deal realist...

We propose a new approach to intelligent transportation systems for developing countries. Our system consists of two major components: (1) Web-camera-based traffic monitoring and (2) network flow estimation. The traffic monitoring module features a new algorithm for computing the vehicle count and velocity from very low-resolution Web camera images, while the network flow estimation module feat...

The discovery of dependencies between components of a network can reveal relationships among components of multi-tier applications and the underlying IT infrastructure, such as servers and databases. Knowledge of these dependencies is thus important for the management of large distributed, heterogeneous and virtualized systems, where it is difficult to maintain an accurate view of how network a...