Traffic Flow Optimization on Roundabouts
Copyright policy )Traffic Flow Optimization on Roundabouts
The aim of this article is to propose an optimization strategy for traffic flowon roundabouts using amacroscopic approach. The roundabout is modeled as a sequence of 2 × 2 junctions with one main lane and secondary incoming and outgoing roads. We consider two cost functionals: the total travel time and the total waiting time, which give an estimate of the time spent by drivers on the network section. These cost functionals areminimized with respect to the right ofway parameter of the incoming roads. For each cost functional, the analytical expression is given for each junction. We then solve numerically the optimization problem and show some numerical results. Copyright © 2014 John Wiley & Sons, Ltd.
Optimization, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Existence theories for optimal control problems involving partial differential equations, macroscopic models, Riemann problem, Traffic problems in operations research, optimal control, Road Traffic, Riemann Problem, Hyperbolic conservation laws, Numerical simulations, traffic problems, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], conservation laws, Scalar conservation laws
Optimization, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Existence theories for optimal control problems involving partial differential equations, macroscopic models, Riemann problem, Traffic problems in operations research, optimal control, Road Traffic, Riemann Problem, Hyperbolic conservation laws, Numerical simulations, traffic problems, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], conservation laws, Scalar conservation laws
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