This authored monograph covers a viability to approach to traffic
management by advising to vehicles circulated on the network the
velocity they should follow for satisfying global traffic conditions;.
It presents an investigation of three structural innovations:
The objective is to broadcast at each instant and at each position the
advised celerity to vehicles, which could be read by auxiliary
speedometers or used by cruise control devices.
Namely,
- Construct regulation feedback providing at each time and position
advised velocities (celerities) for minimizing congestion or other
requirements.
- Taking into account traffic constraints of different type, the first
one being to remain on the roads, to stop at junctions, etc.
- Use information provided by the probe vehicles equipped with GPS to
the traffic regulator;
- Use other global traffic measures of vehicles provided by different
types of sensors;
These results are based on convex analysis, intertemporal optimization
and viability theory as mathematical tools as well as viability
algorithms on the computing side, instead of conventional techniques
such as partial differential equations and their resolution by finite
difference or finite elements algorithms. The target audience primarily
covers researchers and mathematically oriented engineers but the book
may also be beneficial for graduate students.