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

Daganzo, Carlos F.; Gayah, Vikash V.; Gonzales, Eric J.

doi:10.1016/j.trb.2010.06.006

Cited by 323 publications

(178 citation statements)

References 9 publications

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“…On the other hand, the global jamming transition presented in this study is not influenced by these simplifications because it is caused by a fundamental bifurcation observed even in a two-component system [35]. In previous studies, this type of jamming transition in air traffic systems has rarely received attention.…”

Section: Discussionmentioning

confidence: 72%

Potential global jamming transition in aviation networks

Ezaki

Nishinari

2014

Phys. Rev. E

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In this paper, we propose a nonlinear transport model for an aviation network. The takeoff rate from an airport is characterized by the degree of ground congestion. Due to the effect of surface congestion, the performance of an airport deteriorates because of inefficient configurations of waiting aircraft on the ground. Using a simple transport model, we performed simulations on a U. S. airport network and found a global jamming transition induced by local surface congestion. From a physical perspective, the mechanism of the transition is studied analytically and the resulting aircraft distribution is discussed considering system dynamics. This study shows that the knowledge of the relationship between a takeoff rate and a congestion level on the ground is vital for efficient air traffic operations.

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Section: Discussionmentioning

confidence: 72%

Potential global jamming transition in aviation networks

Ezaki

Nishinari

2014

Phys. Rev. E

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“…The demonstration of its existence 18 with dynamic features and empirical data from Yokohama was recent by Geroliminis and Daganzo (2008). 19 This work showed that the MFD is a property of the network itself (infrastructure and control) if the network is 20 homogeneously congested and not very sensitive to demand, i.e. the space-mean flow is maximum for the same 21 value of critical density of vehicles, for many origin-destination tables.…”

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confidence: 94%

A three-dimensional macroscopic fundamental diagram for mixed bi-modal urban networks

Geroliminis

Zheng

Ampountolas

2014

Transportation Research Part C: Emerging Technologies

177

109

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“…Daganzo and Geroliminis (2008) and Geroliminis and Boyaci (2012) have derived analytical theories for the shape of the MFD as a function of network and intersection parameters, using variational theory (VT) for homogeneous and heterogeneous network topologies, respectively. Properties of well-defined MFDs, stability and scatter analysis and other simulation and experimental tests can be found in Buisson andLadier (2009), Ji et al (2010), Mazloumian et al (2010), Daganzo et al (2011), Geroliminis and Sun (2011), Knoop et al (2012) and Saberi and Mahmassani (2012) and others. Recently, Gonzales et al (2011) observed through simulation an MFD for multimodal systems of cars and buses in the city center of Nairobi, Kenya.…”

Section: Introductionmentioning

confidence: 99%

On the distribution of urban road space for multimodal congested networks

Zheng

Geroliminis

2013

Transportation Research Part B: Methodological

121

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a b s t r a c tTransport systems in real cities are complex with many modes of transport sharing and competing for limited road space. This work intends to understand how space distributions for modes and interactions among modes affect network traffic performance. While the connection between performance of transport systems and general land allocation is the subject of extensive research, space allocation for interacting modes of transport is an open research question. Quantifying the impact of road space distribution on the performance of a congested multimodal transport system with a dynamic aggregated model remains a challenge. In this paper, a multimodal macroscopic fundamental diagram (MFD) is developed to represent the traffic dynamics of a multimodal transport system. Optimization is performed with the objective of minimizing the total passenger hours traveled (PHT) to serve the total demand by redistributing road space among modes. Pricing strategies are also investigated to provide a higher demand shift to more efficient modes. We find by an application to a bi-modal two-region city that (i) the proposed model captures the operational characteristics of each mode, and (ii) optimal dynamic space distribution strategies can be developed. In practice, the approach can serve as a physical dynamic model to inform space distribution strategies for policy makers with different goals of mobility.

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

Cited by 323 publications

References 9 publications

Potential global jamming transition in aviation networks

Potential global jamming transition in aviation networks

A three-dimensional macroscopic fundamental diagram for mixed bi-modal urban networks

On the distribution of urban road space for multimodal congested networks

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