A Multi Scalable Model Based On
A Connexity Graph Representation
Author(s)
L. G´ely, G. Dessagne, P. Pesneau & F. Vanderbeck
Abstract
Train operations will be greatly enhanced with the development of new decision
support systems. However, when considering problems such as online rescheduling
of trains, experience shows a pitfall in the communication between
the different elements that compose them, namely simulation software (in charge
of projection, conflict detection, validation) and optimization tools (in charge
of scheduling and decision making). The main problem is the inadequacy of
the infrastructure’s monolithic description and the inability to manage together
different description levels.
Simulation uses a very precise description, while the optimization of a mathematical
problem usually does not. Indeed, an exhaustive description of the whole
network is usually counter-productive in optimization problems; the description
must be accurate, but should rely on a less precise representation. Unfortunately,
the usual model representing the railway system does not guarantee compatibility
between two different description levels; a representation usually corresponds to a
given (unique) description level, designed in most cases with a specific application
in mind, such as platforming. Moreover, further modifications that could improve
performances or precision are usually impossible.
We propose, therefore, a model with a new description of the infrastructure that
permits one to scroll between different description levels. These operations can
be automated via dynamic aggregation and disaggregation methods. They allow
one to manage heterogeneous descriptions and cooperation between various tools
using different description levels.
This model is based on the connexity graph representation of the infrastructure
resources. We will present how to generate corresponding mathematical models
based on resource occupancy and will show how the aggregation of resources
Keywords
modeling, optimization, railway operations, traffic management, infrastructure representation
Related Book
Other papers in this volume
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