Authors:
Julien Rousseau
1
;
Sébastien Lahaye
1
;
Claude Martinez
2
and
Jean-Louis Boimond
1
Affiliations:
1
LISA, France
;
2
IRCCYN, France
Keyword(s):
Min-plus algebra, Min-plus linear systems, Vehicular traffic flow modeling, Traffic flow simulation.
Related
Ontology
Subjects/Areas/Topics:
Artificial Intelligence and Decision Support Systems
;
Discrete Event Systems
;
Enterprise Information Systems
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Knowledge-Based Systems Applications
;
Signal Processing, Sensors, Systems Modeling and Control
;
Time Series and System Modeling
Abstract:
In this paper we propose a modeling method for traffic flow phenomena based on the min-plus algebra. We adopt a modular approach by dividing roadways as elementary stretches which can be combined in order to get a model for a complex infrastructure. The approach is flexible in the sense that different scales can be considered for each elementary model. In fact, whatever its size, each roadway stretch is here studied as a min-plus linear system and is modeled by its impulse response in min-plus algebra. In this first step in studying traffic flow, we focus on modeling detailing the adopted methodology. We also present simulations to validate the approach.