An analytical approximation for the macropscopic fundamental diagram of urban traffic

By Carlos F. Daganzo, Nikolaos Geroliminis. 2008

747 citations recorded by the source corpus.

Subfields: Building and Construction, Control and Systems Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/14c4fc56e97078b97ec53b74014ef5b42af3dc3d

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In Building and Construction

In Control and Systems Engineering

In Transportation

Citations in the corpus

Exploring Properties of Networkwide Flow–Density Relations in a Freeway Network (2012, background): “Daganzo and Geroliminis explored the connection between network structure and a network’s flow–density curve for neighborhoods and provided analytical approximations for networks satisfying certain regularity conditions (26).”
Robust Constrained Control of Uncertain Macroscopic Fundamental Diagram Networks (2015, background): “Daganzo and Geroliminis (2008); Geroliminis and Boyacı (2012); Zhang et al. (2013) have shown that traffic-responsive signal control strategies and different signal settings can change the shape of the MFD and the critical accumulations.”
Exploiting the fundamental diagram of urban networks for feedback-based gating (2012, background): “…(under certain conditions) to two-dimensional urban road networks as well; see Gartner and Wagner (2004) for simulationbased experiments; Geroliminis and Daganzo (2008) for real-data based investigations; Daganzo and Geroliminis (2008), Farhi (2008) and Helbing (2009) for analytical treatments.”
Traffic jams: dynamics and control (2010, methodology): “For example, using the FD in figure 3a for road sections between traffic lights, one may determine 'integrated' FDs for the whole network and study the effects of different route planning and signalling strategies (Daganzo & Geroliminis 2008; Helbing 2009; Mazloumian et al. 2010).”
Effects of Turning Maneuvers and Route Choice on a Simple Network (2011, methodology): “The observed flow–density pattern is that predicted by the cuts described by Daganzo and Geroliminis (2).”
Exploring the Impact of Homogeneity of Traffic Measurements on the Existence of Macroscopic Fundamental Diagrams (2009, background): “The first three are related to one of Daganzo and Geroliminis’s “regularity conditions,” but they did not originally mention the fourth (3).”
Perimeter and boundary flow control in multi-reservoir heterogeneous networks (2013, background): “Previous work (Daganzo and Geroliminis, 2008; Aboudolas et al., 2010; Geroliminis and Boyaci, 2012; Zhang et al., 2013) have shown that traffic-responsive signal control strategies and different signal settings can change the shape of the MFD and consequently the critical accumulations.”
Three new models for the flow–density relationship: derivation and testing for freeway and urban data (2012, background): “Finally, the existence of a fundamental diagram for networks has also been pointed out by several researchers (Daganzo and Geroliminis 2008 , Geroliminis and Daganzo 2008 , Ji et al .”
Hysteresis Phenomena of a Macroscopic Fundamental Diagram in Freeway Networks (2011, background): “Despite the fact that high scatter in the MFD for freeways has been conjectured by Daganzo and Geroliminis (2008), the idea that freeway networks are hysteretic and path-dependent at the aggregate level is fresh.”
Stochastic Approximations for the Macroscopic Fundamental Diagram of Urban Networks (2015, methodology): “(3c) Expression (3c) is the method of cuts (Daganzo and Geroliminis, 2008), where v ≡ (x − xB)/t is the average speed of the cut and φ(v) ≡ ΔBP/t is its maximum passing rate.”
Continuous formulations and analytical properties of the link transmission model (2014, methodology): “Network traffic flow models have been proposed at various scales: microscopic models (Hidas, 2005), the LWR model (Lighthill and Whitham, 1955; Richards, 1956), the link queue model (Jin, 2012d), the neighborhood model (Daganzo and Geroliminis, 2008), and continuum network models (Beckmann, 1952; Ho”