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Traffic Networks as Information Systems
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This authored monograph covers mathematical aspects of traffic management. It presents an investigation of three structural innovations: §1.Use of information provided by the probe vehicles equipped with GPS; §2. Use of velocity and flow measures of vehicles provided by different types of sensors; §3. Regulation feedback which provides at each time and position recommended speeds for minimizing congestion.§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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