Validation of Macroscopic Fundamental Diagrams-Based Models with Microscopic Simulations on Real Networks: Importance of Production Hysteresis and Trip Lengths Estimation

Paipuri, Mahendra; Leclercq, Ludovic; Krug, Jean

doi:10.1177/0361198119839340

Cited by 22 publications

(5 citation statements)

References 29 publications

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“…Section 2 was devoted to deterministic arrivals, as is invariably the case in the literature until now, which included a simpler derivation of the model, exact solutions for uniformly-distributed trip lengths, and the characterization of the steady-state. While the variability of trip lengths has an impact on the time to reach steady-state as noted previously Paipuri et al (2019), it was found that under steady-state conditions the accumulation-based model remains valid regardless of the distribution of trip lengths. This is good news because in steady state or in the common case of slowly-varying demand, one may use the accumulation-based model, which is a much more parsimonious model that only requires a good estimation of the average trip length.…”

Section: Discussionsupporting

confidence: 53%

Effect of the Trip-Length Distribution on Network-Level Traffic Dynamics: Exact and Statistical Results

Laval¹

2023

Preprint

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This paper presents additional results of the generalized bathtub model for urban networks, including a simpler derivation and exact solutions for uniformly distributed trip lengths. It is shown that in steady state this trip-based model is equivalent to the more parsimonious accumulation-based model, and that the trip-length distribution has merely a transient effect on traffic dynamics, which converge to the same point in the macroscopic fundamental diagram (MFD). To understand the statistical properties of the system, a queueing approximation method is proposed to compute the network accumulation variance. It is found that (i) the accumulation variance is much larger than predicted by traditional queueing models, due to the nonlinear dynamics imposed by the MFD, (ii) the trip-length distribution has no effect on the accumulation variance, indicating that the proposed formula for the variance might be universal, (iii) the system exhibits critical behavior near the capacity state where the variance diverges to infinity. This indicates that the tools from critical phenomena and phase transitions might be useful to understand congestion in cities.

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Section: Discussionsupporting

confidence: 53%

Effect of the Trip-Length Distribution on Network-Level Traffic Dynamics: Exact and Statistical Results

Laval¹

2023

Preprint

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“…In this paper, the authors also clearly pinpointed that assuming a single and constant trip length for all vehicles within a network may lead to strong bias with the microscopic simulation results. This was recently corroborated by Paipuri, Leclercq, and Krug (2019). Such an assumption was first conjectured by Daganzo (2007).…”

Section: How Does This Affect the Accuracy Of Mfd-based Simulation?mentioning

confidence: 53%

Heterogeneous perimeter flow distributions and MFD-based traffic simulation

Mariotte

Leclercq

2019

Transportmetrica B: Transport Dynamics

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This paper investigates how network and traffic heterogeneities influence the accuracy of a simulation based on the Macroscopic Fundamental Diagram (MFD). To this end, the MFD modeling of a simple grid network is compared to the outputs of a mesoscopic kinematic wave model simulating traffic in the same network. Heterogeneous distributions of demand and supply at the boundaries are set to the local entries and exits of the mesoscopic model to generate heterogeneous network loadings. These boundary conditions challenge the MFD simulation, as significant discrepancies are observed between both modeling approaches in steady state. While the accurate calibration of the MFD and the average trip length can reduce the discrepancies for heterogeneous demand settings, no simple solution exists for heterogeneous supply settings, because they may drive very different internal congestion patterns in the network. We propose a correction method to adjust the MFD model outputs in such a case.

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“…MFD hysteresis loops may appear when congestion does not occur uniformly throughout the network (Buisson and Ladier, 2009). Some studies including Paipuri et al (2019) calibrated MFD simulations using the data of sixth district of Lyon city (Lyon 6), France. They compared unimodal MFD and a bimodal MFD (cars and trucks) and noticed a clockwise hysteresis in the MFD produced from micro-simulations.…”

Section: Background On Road Pricing and Macroscopic Fundamental Diagrammentioning

confidence: 99%

Assessing road pricing effects on a multimodal network based on macroscopic fundamental diagram hysteresis

Wahaballa

Hemdan

Kurauchi

2021

WJE

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Purpose Road pricing is an efficient strategy for managing urban traffic to relieve congestion. The macroscopic fundamental diagram (MFD), which relates the average network density and flow, is a simple tool for assessing road pricing effects on transportation network performance. However, recent research indicates that it may have complexity (an MFD hysteresis loop), especially for city-scale networks. Although ignoring MFD hysteresis may provide inaccurate results, pricing models that consider this hysteresis are scarce. This paper aims to assess road pricing effects on network performance considering MFD hysteresis characteristics. Design/methodology/approach This paper evaluated different pricing strategies spatially and temporally and compared network performance based on MFD shape in the presence of MFD hysteresis loops. These strategies were developed on a multimodal (cars and buses) network using a multi-agent transport simulation (MATSim). Findings This study found that pricing some links for a short duration with an optimum charge calculated based on the MFD provides higher travel time savings than the previous relevant studies. Originality/value These findings may facilitate assessing road pricing effects on multimodal network performance considering MFD hysteresis.

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Validation of Macroscopic Fundamental Diagrams-Based Models with Microscopic Simulations on Real Networks: Importance of Production Hysteresis and Trip Lengths Estimation

Cited by 22 publications

References 29 publications

Effect of the Trip-Length Distribution on Network-Level Traffic Dynamics: Exact and Statistical Results

Effect of the Trip-Length Distribution on Network-Level Traffic Dynamics: Exact and Statistical Results

Heterogeneous perimeter flow distributions and MFD-based traffic simulation

Assessing road pricing effects on a multimodal network based on macroscopic fundamental diagram hysteresis

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