An analytical approximation for the macroscopic fundamental diagram of urban traffic

Daganzo, Carlos F.; Geroliminis, Nikolas

doi:10.1016/j.trb.2008.06.008

Cited by 579 publications

(347 citation statements)

References 9 publications

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“…the MFD should have a well-defined maximum and remain invariant when the demand changes and (iii) the space-mean flow is maximum for the same value of critical density of vehicles, for many origin-destination tables. 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.…”

Section: Introductionmentioning

confidence: 99%

“…These observers create associated ''cuts'' in a network flow-density diagram and the lower envelope of these cuts provides a good approximation of the MFD for homogeneously congested areas. While VT has been proved to provide a tight cut (see Daganzo and Geroliminis, 2008) in case of corridors with uniform density (i.e. incoming turns are about equal to outcoming ones).…”

Section: Introductionmentioning

confidence: 99%

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On the distribution of urban road space for multimodal congested networks

Zheng

Geroliminis

2013

Transportation Research Part B: Methodological

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the distribution of urban road space for multimodal congested networks

Zheng

Geroliminis

2013

Transportation Research Part B: Methodological

Self Cite

121

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“…The analyses and simulations in these reports (Geroliminis and Daganzo, 2007;Daganzo and Geroliminis, 2008) show that MFDs are curves that can be reproduced under homogeneous conditions in urban networks, even if a f low-density FD for individual road sections shows significant dispersion (Daganzo and Geroliminis, 2008). These reports also showed that MFDs are a property of the infrastructure and not of the demand, i.e.…”

Section: Fig 1 Fundamental Diagrams Ofmentioning

confidence: 97%

“…T he empi r ica l ver i f icat ion of M F D existence has been made recently through the combination of measurements from 500 detectors at Yokohama city of Japan with a large data sample derived from GPS devices in taxis (Daganzo and Geroliminis, 2008). The analyses and simulations in these reports (Geroliminis and Daganzo, 2007;Daganzo and Geroliminis, 2008) show that MFDs are curves that can be reproduced under homogeneous conditions in urban networks, even if a f low-density FD for individual road sections shows significant dispersion (Daganzo and Geroliminis, 2008).…”

Section: Fig 1 Fundamental Diagrams Ofmentioning

confidence: 99%

Macroscopic Fundamental Diagrams: Simulation Findings for Thessaloniki’s Road Network

Stamos¹,

Grau²,

Mitsakis³

et al. 2015

IJTTE

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Within the framework of this paper, the existence of a Macroscopic Fundamental Diagram (MFD) for the city of Thessaloniki is discussed, obtained through simulation. Initial findings show that there is a well-defined MFD, which is a property of a network, as it is not influenced by changes in travel demand. The MFD can be used as tool for managing traffic at real-time and for improving accessibility in an area, through pricing strategies and entrance points control based on the accumulation of vehicles.

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“…Towards this end, the concept of Network Fundamental Diagram, NFD, often called Macroscopic Fundamental Diagram (MFD), has been adopted as a basis for the derivation of tra c control strategies (e.g., Leclercq et al (2014)). The theory was rst proposed in Godfrey (1969) and further developed in Daganzo and Geroliminis (2008) and Helbing (2009) (its application to experimental data is analyzed in Mahmassani et al (1987); Geroliminis and Daganzo (2008); Ampountolas and Kouvelas (2015)). Geroliminis and Sun (2011) further investigated what the properties that a network should satisfy are, so that an MFD with low scatter exists, by again using data from a eld experiment in Yokohama (Japan).…”

Section: Introductionmentioning

confidence: 99%

Network traffic flow optimization under performance constraints

Csikós

Charalambous

Farhadi

et al. 2017

Transportation Research Part C: Emerging Technologies

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In this paper, a model-based perimeter control policy for large-scale urban vehicular networks is proposed. Assuming a homogeneously loaded vehicle network and the existence of a well-posed Network Fundamental Diagram (NFD), we describe a protected network throughout its aggregated dynamics including nonlinear exit ow characteristics. Within this framework of constrained optimal boundary ow gating, two main performance metrics are considered: (a) rst, connected to the NFD, the concept of average network travel time and delay as a performance metric is de ned;(b) second, at boundaries, we take into account additional external network queue dynamics governed by uncontrolled in ow demands. External queue capacities in terms of nite-link lengths are used as the second performance metric. Hence, the corresponding performance requirement is an upper bound of external queues. While external queues represent vehicles waiting to enter the protected network, internal queue describes the protected network's aggregated behaviour.By controlling the number of vehicles joining the internal queue from the external ones, herewith a network tra c ow maximization solution subject to the internal and external dynamics and their performance constraints is developed. The originally non-convex optimization problem is transformed to a numerically e ciently convex one by relaxing the performance constraints into time-dependent state boundaries. The control solution can be 1 interpreted as a mechanism which transforms the unknown arrival process governing the number of vehicles entering the network to a regulated process, such that prescribed performance requirements on travel time in the network and upper bound on the external queue are satis ed. Comparative numerical simulation studies on a microscopic tra c simulator are carried out to show the bene ts of the proposed method.

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An analytical approximation for the macroscopic fundamental diagram of urban traffic

Cited by 579 publications

References 9 publications

On the distribution of urban road space for multimodal congested networks

On the distribution of urban road space for multimodal congested networks

Macroscopic Fundamental Diagrams: Simulation Findings for Thessaloniki’s Road Network

Network traffic flow optimization under performance constraints

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