Robust Perimeter Control for Two Urban Regions with Macroscopic Fundamental Diagrams: A Control-Lyapunov Function Approach

Zhong, Renxin; Chen, C.; Huang, Y.P.; Sumalee, Agachai; Lam, William H. K.; Xu, Dabo

doi:10.1016/j.trpro.2017.05.051

Cited by 23 publications

(9 citation statements)

References 44 publications

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“…These variables can be calculated from trajectory data (Keyvan-Ekbatani et al 2019). The third type (Type-III), that is similar to the first type, uses the trip completion flow, rather than the production (Sirmatel and Geroliminis 2021; Zhong et al, 2017) to represent the y-axis variable. This type is very like the original formulation proposed by Daganzo (2007), where the trip completion rate is named "exit flow" which describes the assumed single reservoirs.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The functional type of the MFD varies across different literature. For instance, there are polynomials (Sirmatel and Geroliminis 2021;Zhong et al 2017;Ding et al 2017), logistic-based models; smooth approximation of a trapezoidal model (Ambühl et al, 2017); exponential family (Geroliminis et al 2014), etc. Currently, most MFD models are developed mainly as a deterministic system (Wan et al 2020). As indicated in Johari et al (2021),"NMFD relations do not recognize stochasticity per se".…”

Section: Literature Reviewmentioning

confidence: 99%

“…The spatial heterogeneity can be described by the standard deviation (Mahmassani et al 2013;Muhlichet al 2015) or variance (Ji and Geroliminis, 2012). To deal with randomness contained in the scattering, three technical approaches can be found in the current literature: 1) some noise terms are added to the deterministic MFD formulation (Zhong et al, 2017;Haddad and Mirkin, 2020;Hajiahmadi et al, 2015); 2) uncertain boundaries are considered and robust measures can be designed (Ampountolas, Zheng, and Geroliminis, 2017;Haddad and Shraiber, 2014); 3) certain distributions of the accumulation can be fitted (Ding et al, 2020). Haddad and Mirkin (2020) include a noise term in the exit flow function.…”

Section: Literature Reviewmentioning

confidence: 99%

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Macroscopic Fundamental Diagram with Stochastic Dynamics Driven by Wiener Process

2022

SSRN Journal

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

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Macroscopic Fundamental Diagram with Stochastic Dynamics Driven by Wiener Process

2022

SSRN Journal

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“…The minimum of the combination of the average delay and the mean square error of average delay is considered as objective. The robust optimization methods were also widely analyzed in coordination control [40], [41], bus priority control [42]- [44], network design [45]- [49], and multi-objective optimization [50], [51].…”

Section: Literature Reviewmentioning

confidence: 99%

Robust Signal Control of Exit Lanes for Left-Turn Intersections With the Consideration of Traffic Fluctuation

et al. 2020

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Traffic throughput at intersections can be improved by using exit lanes for left-turning (EFL), tidal flow lanes near an intersection, which has been recently introduced. This paper considers the operational robustness of the EFL intersection in relation to the control scheme applied to the traffic light setting. For safety and efficiency, it is important that the tidal lanes are emptied before traffic in the opposing direction uses these lanes. Hence, the signal control should not only be optimized for the mean value but be robust for all kinds of fluctuations. This paper formulates a traffic control scheme using robust optimization, i.e. an optimization scheme which explicitly accounts for extreme events. The fluctuation of traffic is considered from three aspects: the distribution of traffic demand, the distribution of base saturation flow rate, and the distribution of actual travel speed. Via a case study and extensive numerical analysis, we find that the established robust optimization method produces an efficient design of signal control and design speed at the EFL intersection under traffic demand and supply fluctuations. Though the optimization method is now applied to intersections with an EFL, it is considered useful for all intersections with high fluctuation of traffic demand and saturation flow rate. INDEX TERMS Exit-lanes for left-turn intersection, robust optimization, signal control, unconventional intersections.

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“…trip completion rate) and accumulation. Based on this work, numerous MFD-based modeling and control methods have been developed for multi-region urban networks, like optimal control [7,8], robust control [9,10], model predictive control (MPC) [11][12][13][14][15], model-free adaptive control [16,17], demand management [18].…”

Section: Introductionmentioning

confidence: 99%

Approximating Dynamic Equilibrium Analysis in Multi-Region Network Based on Macroscopic Fundamental Diagram

Liu

Cen

Song

2022

Journal of Advanced Transportation

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Modeling and control of road traffic in large-scale urban networks present considerable challenges. The traffic equilibrium phenomena, with the question of route choice behavior in case of heterogeneous urban networks, has not been thoroughly investigated in parsimonious and classical models due to the limitation, like large network size, spatiotemporal propagation of congestion, and the interaction between driver decisions, etc. In this paper, we propose a bi-level approximating dynamic equilibrium model (BLADEM) for the approximating dynamic equilibrium analysis in multi-region network based on macroscopic fundamental diagram (MFD). The proposed model combines the region-based model and the internal-region model. With the information from region MFD, the region-based model is used to implement the time-dependent regional route choice estimation. Traffic equilibrium condition (dynamic user equilibrium, DUE) is considered in an internal-region model with time-aggregated regional OD demand from the region level. Furthermore, the complexity of the proposed model is derived. Then, the comparative analysis of the algorithm complexity between the proposed model and the DUE model is given. The proposed model is evaluated based on the high-resolution vehicle trajectory data (or connected vehicles trajectory data) from the DiDi platform collected in Chengdu, China with more than 3,000,000 GPS points during a typical workday. The evaluation results show that the proposed model can obtain the approximating traffic dynamics compared with the DUE algorithm. Pleasantly, the improved calculation efficiency is between 21% and 42%. The results indicate the promising potential of using the proposed model to analyze approximating dynamic equilibrium in the multi-region heterogeneous network.

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Robust Perimeter Control for Two Urban Regions with Macroscopic Fundamental Diagrams: A Control-Lyapunov Function Approach

Cited by 23 publications

References 44 publications

Macroscopic Fundamental Diagram with Stochastic Dynamics Driven by Wiener Process

Macroscopic Fundamental Diagram with Stochastic Dynamics Driven by Wiener Process

Robust Signal Control of Exit Lanes for Left-Turn Intersections With the Consideration of Traffic Fluctuation

Approximating Dynamic Equilibrium Analysis in Multi-Region Network Based on Macroscopic Fundamental Diagram

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