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Traffic Networks as Information Systems - A Viability Approach (Hardcover, 1st ed. 2017)
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Traffic Networks as Information Systems - A Viability Approach (Hardcover, 1st ed. 2017)
Series: Mathematical Engineering
Expected to ship within 12 - 17 working days
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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, 1. Construct regulation feedback providing at each time and
position advised velocities (celerities) for minimizing congestion
or other requirements. 2. Taking into account traffic constraints
of different type, the first one being to remain on the roads, to
stop at junctions, etc. 3. Use information provided by the probe
vehicles equipped with GPS to the traffic regulator; 4. 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.
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