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

By Carlos F. Daganzo, Vikash V. Gayah, Eric J. Gonzales. 2011

382 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Ocean Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/956893270f530f05452e1cd2dfd6f69cdf02b45e

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In Control and Systems Engineering

In Ocean Engineering

In Transportation

Citations in the corpus

Hysteresis Phenomena of a Macroscopic Fundamental Diagram in Freeway Networks (2011, background): “Despite the fact that capacity drop is not observed in individual arterial links because of the signals effect, arterial networks can also experience hysteresis loops if there is large heterogeneity in the density distribution (see for example Mazloumian et al., 2010 or Daganzo et al., 2011).”
Perimeter and boundary flow control in multi-reservoir heterogeneous networks (2013, background): “Recent works (Mazloumian et al., 2010; Geroliminis and Sun, 2011; Daganzo et al., 2011; Knoop et al., 2012; Saberi and Mahmassani, 2012) have identified the spatial distribution of vehicle density in the network as one of the key components that affect the scatter of an MFD and its shape.”
Optimal Perimeter Control for Two Urban Regions With Macroscopic Fundamental Diagrams: A Model Predictive Approach (2013, background): “Other investigations of MFD using empirical or simulated data can be found in [5]–[8] and other papers, whereas routing strategies that are based on MFD can be found in [9].”
Congestion in the bathtub (2015, background): “A recent range of contributions have shown that such a fundamental diagram of traffic flow also applies at the level of an urban neighborhood meeting certain conditions (Daganzo, 2007; Geroliminis and Daganzo, 2008; Daganzo et al., 2011).”
Exploring Properties of Networkwide Flow–Density Relations in a Freeway Network (2012, background): “(27) and Daganzo (28) showed that networks consisting of multiple overlapping routes tend to jam at densities that are only a fraction of their respective routes’ average jam density.”
On the spatial partitioning of urban transportation networks (2012, background): “(Daganzo et al., 2011; Gayah and Daganzo, 2011) showed for simple networks with two interconnected rings, that networks with densities in the congested regime can produce strong instabilities, hysteresis and bifurcations and lead the system to gridlock.”
Properties of a well-defined Macroscopic Fundamental Diagram for urban traffic (2011, background): “In parallel with our work, Daganzo et al. (2011) investigated bifurcations and instability issues in an MFD for a two-ring network.”
Effects of Turning Maneuvers and Route Choice on a Simple Network (2011, background): “More information on the effect of adaptive routing can be found elsewhere (8, 12).”
Stochastic Approximations for the Macroscopic Fundamental Diagram of Urban Networks (2015, methodology): “Existing methods to estimate the MFD analytically for simple homogeneous arterial corridors can be categorized into three types: (i) empirical (Geroliminis and Daganzo, 2007, 2008; Wu et al., 2011; Saberi and Mahmassani, 2012; Geroliminis and Sun, 2011; Geroliminis and Ji, 2011; Cassidy et al., 2011”
A Bathtub Model of Downtown Traffic Congestion (2013, methodology): “Equilibrium density over the early morning rush hour is then obtained from (9) and (1):”