Macroscopic Fundamental Diagram Approach to Evaluating the Performance of Regional Traffic Controls

Lu, Weike; Liu, Jun; Mao, Jiannan; Hu, Guojing; Gao, Chuqiao; Liu, Lan

doi:10.1177/0361198120923359

Cited by 9 publications

(5 citation statements)

References 24 publications

(38 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The travel-time data for low flow conditions (early morning hours) were filtered, and the 15th percentile travel time of the data was computed and denoted as free-flow travel time ( 33 ). A generalized polynomial function was fitted to the flow–density scatter to estimate the capacity ( 34 ).…”

Section: Methodsmentioning

confidence: 99%

Modified Bureau of Public Roads Link Function

Gore

Arkatkar

Joshi

et al. 2022

Transportation Research Record: Journal of the Transportation R

View full text Add to dashboard Cite

The Bureau of Public Roads (BPR) function is a widely used link cost function in transportation planning because of its simple mathematical form, easily measurable field variables, and consistent performance. However, the BPR function is deterministic and does not capture the stochastic relation between travel time and traffic flow. The present study develops a modified BPR (MBPR) function by incorporating travel time uncertainty (TTU) in the deterministic BPR function. In the MBPR function, the effect of TTU is incorporated using two parameters, [Formula: see text] and [Formula: see text]. A nonlinear optimization problem is formulated, and the generalized reduced gradient method is used to calibrate the BPR and the MBPR function. The applicability of the proposed MBPR function is demonstrated using empirical data collected for an urban arterial in India and simulated data developed for a real-world urban road network. The proposed MBPR function captures the heterogeneity in travel time for different traffic flow values. The function (a) captures the variability in travel time under oversaturated conditions and (b) captures the time-dependent relation between traffic volume and delay. The physical meaning of [Formula: see text] and [Formula: see text] in the context of inter-day heterogeneity, infrastructure potential, and traffic flow heterogeneity are discussed. The practical application of MBPR as an analytical tool for system-wide performance evaluation is demonstrated by investigating the impact of traffic signal control on travel times using a before–after perspective. Compared with the before case, a 13% reduction in travel time is observed for the after case. Therefore, the installation of traffic signal control has reduced congestion.

show abstract

Section: Methodsmentioning

confidence: 99%

Modified Bureau of Public Roads Link Function

Gore

Arkatkar

Joshi

et al. 2022

Transportation Research Record: Journal of the Transportation R

View full text Add to dashboard Cite

show abstract

“…Teir feld experiments revealed that there was MFD within a large-scale urban area [4,5]. In several studies, the existing conditions of MFD and its corresponding infuence factors including road infrastructure, trafc demand, signal control strategy, fow distribution, and the driving behaviours were investigated [6][7][8][9]. It was found that a homogeneous network will maintain a well-defned MFD [3].…”

Section: Literature Reviewmentioning

confidence: 99%

The Peak Stability Analysis through Hysteresis Phenomenon on Heterogeneous Networks

Yao,

Lu,

Liu

et al. 2024

Journal of Advanced Transportation

Self Cite

View full text Add to dashboard Cite

The macroscopic fundamental diagram (MFD) is a nonuniversal changing process over network traffic status which indicates different shapes in different networks. Hysteresis is observed in the MFD of some urban networks. It is a unique phenomenon when the network remains at low stability level and usually appears around the congestion period. This paper analyzed network peak stability through focusing on hysteresis. The formation mechanism of hysteresis is deduced from the mathematical method based on previous research studies. The precondition of hysteresis and the changing process of network state can be figured by mathematical deduction. It indicates that hysteresis only occurs conditionally in the period of macroscopic congestion and is not a universal phenomenon. Heterogeneity is an important factor leading to network instability. The hysteresis patterns of different peaks in MFD are different due to the variation of network flow. Real data are collected from Atlanta’s urban network to verify the analysis of hysteresis. To discuss the changing process of hysteresis in different peaks, a three-stage division is proposed and time series is presented as a third dimension in MFD. It is worth noticing that the existence and form of hysteresis in morning and evening peaks are different. Although there is a higher peak flow in the morning peak, the stability of the evening peak performs better when hysteresis occurs in the network. The different fluctuations in the morning and evening peaks are exhibited through the 3D version of MFD. The otherness of hysteresis in different peaks is explained through a 3D coordinate system with cross-compared corresponding indexes.

show abstract

“…Utilizing empirical data from Yokohama, Japan, Geroliminis and Daganzo [22] revealed that MFD is a reproducible and well-defined relationship between space-mean flow, average density, and average speed on an urban network. Since then, MFD has gained widespread popularity and considerable attention due to its outstanding ability in network controlling [23][24][25][26][27][28][29], traffic assignment [30][31][32][33][34], and evaluating network performance [35][36][37]. This paper will also adopt MFD to evaluate the corridor capacity.…”

Section: Mixed Corridor Capacity Evaluation Based On Mfdmentioning

confidence: 99%

Analytical approximation for macroscopic fundamental diagram of urban corridor with mixed human and connected and autonomous traffic

Whalin

et al. 2020

IET Intelligent Trans Sys

Self Cite

View full text Add to dashboard Cite

Advances in connected and autonomous vehicles have the promise to reshape the future of the transportation system. How and when the benefits associated with automation and connectivity technology will start to impact the performance of an urban corridor is an issue of interest for traffic operators. This paper proposes an analytical capacity model for urban corridors with mixed traffic based on the concept of macroscopic fundamental diagram. The model incorporates the full spectrum of connected and autonomous vehicle penetration rates as well as the reaction times of different vehicle following patterns. The connected and autonomous vehicle platoon intensity, formulated as an exponential function of the connected and autonomous vehicle penetration rate, is also considered in the proposed analytical capacity model. Numerical experiments are conducted to verify that different reaction time settings yield disparate results. Some reaction time settings were found to cause the corridor capacity to increase monotonically with the connected and autonomous vehicle penetration rate while others led to decreases in corridor capacity with connected and autonomous vehicle penetration rates. Finally, the validity of the proposed methodology is verified via simulation tests in VISSIM 2020.

show abstract

Macroscopic Fundamental Diagram Approach to Evaluating the Performance of Regional Traffic Controls

Cited by 9 publications

References 24 publications

Modified Bureau of Public Roads Link Function

Modified Bureau of Public Roads Link Function

The Peak Stability Analysis through Hysteresis Phenomenon on Heterogeneous Networks

Analytical approximation for macroscopic fundamental diagram of urban corridor with mixed human and connected and autonomous traffic

Contact Info

Product

Resources

About