Optimal traffic control: urban intersections
CRC Press, Nov 8, 2007 - Mathematics - 352 pages
Despite traffic circles, four-way stop signs, lights regulated by timers or sensors, and other methods, the management of urban intersections remains problematic. Consider that transportation systems have all the features of so-called complex systems: the great number of state and control variables, the presence of uncertainty and indeterminism, the complex interactions between subsystems, the necessity to optimize several optimization criteria, and active behavior of the controlled process, to name just a few. Therefore, a mathematical approach to these systems can resolve their complex issues more elegantly than other methods.Addressing both efficiency and traffic safety issues, Optimal Traffic Control: Urban Intersections examines the traffic control optimization problem and presents a novel solution method. Using an approach based on control theory, graph theory, and combinatorial optimization, the authors derive a full mathematical description of the traffic control problem and enumerate all combinatorial aspects. The result is a set of algorithmic solutions to various problems along with computer implementation that you can incorporate into real traffic control systems for immediate results. The book concludes by evaluating how the choice of a complete set of signal groups influences intersection performance.Although modern cities throughout the world have a unique character influenced by culture, geography, and population, most of them share one main feature: busy intersections and the issue of controlling the traffic traveling through them. The development of information technologies, especially computer and telecommunications techniques, has changed the complexity of the problem and influenced the development of new solutions. Clearly stating the issues and presenting a possible solution, this book shows you how to take full advantage of all the capabilities of microprocessor-based traffic signal controllers.
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capacity factor combinatorial optimization compatibility graph compatibility relation complete set components conﬂict control variables control vectors transition convex function criteria deﬁned deﬁnition equivalence relation exists feasible control vectors feasible phases feasible signal plan ﬁltering ﬁmction ﬁrst following expression gain the right-of-way giving the right-of-way graph G green indication Hasse diagram incidence matrix inﬂuence intersection presented LINPRO mathematical expectation maximal cliques maximal number minimal effective green minimal effective intergreen minimal intergreen nodes number of control number of signal number of stops number of vehicles obtained opposed trafﬁc stream opposing stream optimal control optimal signal plan optimization criterion optimization problems pairs pedestrian phase transition graph Poisson process presented in Fig queue length quotient sets represents satisﬁed saturation degree saturation ﬂow volume set of feasible set of signal signal group compatibility signal indications signal plan choice signal plan structure signalized intersection signiﬁcant stochastic stochastic processes subroutine total delay trafﬁc control traﬂic transition relation