Macroscopic network-level traffic models: Bridging fifty years of development toward the next era

M Johari, M Keyvan-Ekbatani, L Leclercq… - … Research Part C …, 2021 - Elsevier
Network macroscopic fundamental diagrams (NMFD) and related network-level traffic
dynamics models have received both theoretical support and empirical validation with the …

Macroscopic traffic dynamics under fast-varying demand

L Leclercq, M Paipuri - Transportation science, 2019 - pubsonline.informs.org
Aggregated dynamic traffic models based on the network macroscopic fundamental diagram
(MFD) have been founded on stationary or steady-state approximations. Theoretically, they …

Deriving macroscopic fundamental diagrams from probe data: Issues and proposed solutions

J Du, H Rakha, VV Gayah - Transportation Research Part C: Emerging …, 2016 - Elsevier
Well-defined relationships between flow and density averaged spatially across urban traffic
networks, more commonly known as Macroscopic Fundamental Diagrams (MFDs), have …

Investigating the shape of the macroscopic fundamental diagram using simulation data

Y Ji, W Daamen, S Hoogendoorn… - Transportation …, 2010 - journals.sagepub.com
Macroscopic fundamental diagrams (MFDs) exist in large urban networks in which traffic
conditions are homogenous. They can be used for estimation of the level of service on road …

Macroscopic urban dynamics: Analytical and numerical comparisons of existing models

G Mariotte, L Leclercq, JA Laval - Transportation Research Part B …, 2017 - Elsevier
Large-scale network modeling using the Macroscopic Fundamental Diagram (MFD) is
widely based on the single-reservoir model, where the variation of the accumulation of …

A functional form with a physical meaning for the macroscopic fundamental diagram

L Ambühl, A Loder, MCJ Bliemer, M Menendez… - … Research Part B …, 2020 - Elsevier
The macroscopic fundamental diagram (MFD) relates vehicle accumulation and production
of travel in an urban network with a well-defined and reproducible curve. Thanks to this …

Equilibrium analysis and route guidance in large-scale networks with MFD dynamics

M Yildirimoglu, M Ramezani, N Geroliminis - Transportation Research …, 2015 - Elsevier
Recent studies have demonstrated that Macroscopic Fundamental Diagram (MFD), which
provides an aggregated model of urban traffic dynamics linking network production and …

Using mobile probe data and the macroscopic fundamental diagram to estimate network densities: Tests using microsimulation

VV Gayah, VV Dixit - Transportation research record, 2013 - journals.sagepub.com
Recent advances in urban traffic network modeling have led to the proposal of several large-
scale control strategies aimed at improving network efficiency, including metering vehicle …

Macroscopic relations of urban traffic variables: Bifurcations, multivaluedness and instability

CF Daganzo, VV Gayah, EJ Gonzales - Transportation Research Part B …, 2011 - Elsevier
Recent experimental work has shown that the average flow and average density within
certain urban networks are related by a unique, reproducible curve known as the …

The impact of traffic dynamics on macroscopic fundamental diagram

VL Knoop, SP Hoogendoorn… - 92nd Annual Meeting …, 2013 - repository.tudelft.nl
Literature shows that–under specific conditions–the macroscopic fundamental diagram
(MFD) describes a crisp relationship between the average flow (production) and the average …