Stochastic Approximations for the Macroscopic Fundamental Diagram of Urban Networks
Jorge A. Laval,Felipe Castrillon +1 more
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TLDR
In this paper, a theory for estimating the Macroscopic Fundamental Diagram (MFD) on inhomogeneous corridors and networks using probabilistic methods is proposed. But it is not shown that the network MFD depends mainly on two dimensionless parameters: the mean block length to green ratio and the mean red-to-green ratio.Abstract:
This paper proposes a theory for estimating the Macroscopic Fundamental Diagram (MFD) on inhomogeneous corridors and networks using probabilistic methods. By exploiting a symmetry property of the stochastic MFD, whereby it exhibits identical probability distributions in free-flow and congestion, it is found that the network MFD depends mainly on two dimensionless parameters: the mean block length to green ratio and the mean red to green ratio. The theory is validated with an exact traffic simulation and with the empirical data from the city of Yokohama. It is also shown that the effect of buses can be approximated with the proposed theory by accounting for their effect in the red to green ratio parameter.read more
Citations
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Dynamic clustering and propagation of congestion in heterogeneously congested urban traffic networks
TL;DR: The dynamic clustering is based on an iterative and fast procedure that considers the spatiotemporal characteristics of congestion propagation and identifies the links with the highest degree of heterogeneity due to time dependent conditions and finally re-cluster them to guarantee connectivity and minimize heterogeneity.
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Macroscopic urban dynamics: Analytical and numerical comparisons of existing models
TL;DR: In this article, the authors compare a single reservoir model and a trip-based model under piecewise linear MFD and a piecewise constant demand, and show that the Taylor series can be used to obtain continuous approximations of the trip based model at any order.
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Empirics of multi-modal traffic networks – Using the 3D macroscopic fundamental diagram
TL;DR: This paper presents the first empirical estimate of a 3D-MFD at the urban scale, using data from loop detectors and automatic vehicle location devices of the public transport vehicles in the city of Zurich, Switzerland, to estimate the effects of the vehicle accumulation on car and public transport speeds under multi-modal traffic conditions.
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Optimal perimeter control synthesis for two urban regions with aggregate boundary queue dynamics
TL;DR: In this paper, a new MFD-based model for two-region networks with aggregate boundary queue dynamics was introduced, and the optimal control policy to maximize the total network throughput was derived.
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Dynamic modeling and control of taxi services in large-scale urban networks: A macroscopic approach
Mohsen Ramezani,Mehdi Nourinejad +1 more
TL;DR: The results show that lack of the taxi dispatching system leads to severe accumulation of unserved taxi passengers and vacant taxis in different regions whereas the dispatch system improves the taxi service performance and reduces traffic congestion by regulating the network towards the undersaturated condition.
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