Traffic flow
A multi-lane macroscopic traffic flow model for simple networks
... macroscopic traffic flow model for simple networks Paola Goatin 1 Elena Rossi 1 Abstract We prove the well-posedness of a system of balance laws inspired by [8], describing macro- scopically the ...
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From heterogeneous microscopic traffic flow models to macroscopic models
... of traffic flow is a challenging task in particular in order to design ...the traffic will react to a change in the infrastructure of the road (if it is interesting to place a traffic light, ...
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Priority-based Riemann solver for traffic flow on networks
... Abstract In this article we introduce a new Riemann solver for traffic flow on networks. The Priority Riemann solver (PRS) provides a solution at junctions by taking into consideration priorities for the ...
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Uncertainty quantification in a macroscopic traffic flow model calibrated on GPS data
... the traffic data set we were provided, which consists of floating car data coming from embedded GPS ...stochastic traffic flow models, we refer the reader to [4, 7, 14, 16, 23, 24, ...
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From heterogeneous microscopic traffic flow models to macroscopic models
... the traffic flow, the oldest macroscopic model is the LWR model (Lighthill, Whitham [13], Richards [15], see also the book [9] for a good introduction to this models), which dates back to 1955 and is ...
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Scalar conservation laws with moving density constraints arising in traffic flow modeling
... describing traffic evolution coupled with an ODE for the slow vehicle ...surrounding traffic conditions, which in turn are affected by the presence of the slower vehicle, thus resulting in a strong ...
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A non-local traffic flow model for 1-to-1 junctions
... non-local flux. Note that the work [29] is dealing with a similar setting, where the author studies traveling waves profiles of conservation laws with non-local flux functions, describing traffic flow on a ...
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Comparative study of macroscopic traffic flow models at road junctions
... macroscopic traffic flow models on networks; multilane models; multi-population models; finite volume ...macroscopic traffic flow models based on hyperbolic balance laws have been proposed to ...
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Traffic flow models with phase transitions on road networks
... the flow is congested and covers a 2-dimensional domain in the fundamental diagram; a “second order” model seems more appropriate to describe this ...dynamic. Traffic flow models with phase ...
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The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model
... B t ρ ` B x pρvpρqq “ 0, x P R, t ą 0, (1.1) where ρ “ ρpt, xq represents the density of vehicles on the road and v “ vpρq denotes the mean velocity of the flow. In order to capture particular characteristics of ...
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The impact of source terms in the variational representation of traffic flow
... of traffic flow, now under the presence of contin- uum lateral inflows and outflows to the freeway say Eulerian source ...of traffic conditions, as per a merge ...
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A numerical scheme for moving bottlenecks in traffic flow
... trajectory and will be referred to as non-classical shock. For related studies on conservation laws with fixed local constraints, the reader is referred to [ 4 , 9 ]. Model ( 1 ) was first introduced and studied in an ...
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Homogenization of Hamilton-Jacobi equations and applications to traffic flow modelling
... microscopic traffic flow models of first order or second order are made in [ 20 ], [ 43 ] or [ 22 ...macroscopic traffic flow models and links with fluid ...
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Air traffic flow management at airports : a unified optimization approach
... Chapter 2 Strategic Airport Optimization In this chapter, we present a mixed integer programming (MIP) model to solve the key air traffic flow management (ATFM) problems faced at an airport, at a strategic ...
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Speed limit and ramp meter control for traffic flow networks
... Here, β e and εe denote non-negative weights and v e,ref a reference velocity . Note that we later consider additional terms in the objective function such that J will further explicitly depend on the control variables ...
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Particle approximation of a constrained model for traffic flow
... [2] A. Aw and M. Rascle. Resurrection of ”second order” models of traffic flow. SIAM J. Appl. Math., 60:916–938, 2000. [3] F. Berthelin. Existence and weak stability for a pressureless model with uni- ...
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Data driven uncertainty quantification in macroscopic traffic flow models
... two traffic flow models (LWR and GSOM) lead to different optimal calibra- tion parameters although we use mostly the same initial guesses and ...both traffic flow models, the maximum density ...
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An overview of non-local traffic flow models
... ∫ η 0 ω η (x)dx := J 0 , ∀η > 0, lim η→∞ ω η (0) = 0. In this model, the function ρ(t, x) represents the density of vehicles on the road and η > 0 is proportional to the look-ahead distance of drivers. Indeed, the ...
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Speed limit and ramp meter control for traffic flow networks
... 4 Numerical Results This section collects the numerical results corresponding to three different sce- narios. The first example is concerned with variable speed limits to control traffic flow on a road ...
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Non-local multi-class traffic flow models
... downstream traffic, assigning greater importance to closer vehicles, see also [6, ...a traffic stream. One of the limitations of the standard LWR traffic flow model [10, 11] is the first in ...
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