0000000000482947

AUTHOR

Rosanna Manzo

0000-0002-3891-1825

showing 2 related works from this author

Optimal Paths on Urban Networks Using Travelling Times Prevision

2012

We deal with an algorithm that, once origin and destination are fixed, individuates the route that permits to reach the destination in the shortest time, respecting an assigned maximal travel time, and with risks measure below a given threshold. A fluid dynamic model for road networks, according to initial car densities on roads and traffic coefficients at junctions, forecasts the future traffic evolution, giving dynamical weights to a constrained 𝐾 shortest path algorithm. Simulations are performed on a case study to test the efficiency of the proposed procedure.

Mathematical optimizationTraffic congestion reconstruction with Kerner's three-phase theoryArticle SubjectComputer scienceFluid dynamic model; K shortest path algorithm; Travelling times previsionGeneral EngineeringTraffic simulationK shortest path algorithmMeasure (mathematics)lcsh:QA75.5-76.95Computer Science ApplicationsTraffic congestionFluid dynamic modelModeling and SimulationShortest path problemComputer Science::Networking and Internet Architecturelcsh:Electronic computers. Computer scienceTravelling times previsionDijkstra's algorithmConstrained Shortest Path FirstSimulationTraffic waveModelling and Simulation in Engineering
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On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms

2010

We study one class of nonlinear fluid dynamic models with impulse source terms. The model consists of a system of two hyperbolic conservation laws: a nonlinear conservation law for the goods density and a linear evolution equation for the processing rate. We consider the case when influx-rates in the second equation take the form of impulse functions. Using the vanishing viscosity method and the so-called principle of fictitious controls, we show that entropy solutions to the original Cauchy problem can be approximated by optimal solutions of special optimization problems.

Cauchy problemConservation lawOptimization problemEntropy solutionsArticle SubjectVanishing viscosity methodMathematical analysisNonlinear fluid dynamicmodelsNonlinear conservation lawlcsh:QA75.5-76.95Computer Science ApplicationsNonlinear systemlcsh:TA1-2040Modeling and SimulationEvolution equationNonlinear fluid dynamicmodels; Vanishing viscosity method; Principle of fictitious controls; Entropy solutionsPrinciple of fictitious controlslcsh:Electronic computers. Computer scienceElectrical and Electronic Engineeringlcsh:Engineering (General). Civil engineering (General)Hyperbolic partial differential equationEntropy (arrow of time)MathematicsJournal of Control Science and Engineering
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