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Splitting of Traffic Flows to Control Congestion in Special Events
Author(s) -
Ciro D’Apice,
Rosanna Manzo,
Luigi Rarità
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/563171
Subject(s) - mathematics , traffic congestion , mathematical optimization , distribution (mathematics) , control (management) , kinetic energy , order (exchange) , traffic flow (computer networking) , computer science , transport engineering , mathematical analysis , engineering , physics , finance , quantum mechanics , artificial intelligence , economics , computer security
We deal with the optimization of traffic flows distribution at road junctions with an incoming road and two outgoing ones, in order to manage special events which determine congestion phenomena. Using a fluid-dynamic model for the description of the car densities evolution, the attention is focused on a decentralized approach. Two cost functionals, measuring the kinetic energy and the average travelling times, weighted with the number of cars moving on roads, are considered. The first one is maximized with respect to the distribution coefficient, and the second isminimized with respect to the same control parameter. The obtained results have been tested by simulations of urban networks. Decongestion effects are also confirmed estimating the time a car needs to cross a fixed route on the network

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