Complex Dynamics of Traffic Management: Introduction

Kerner, Boris S.

doi:10.1007/978-1-4939-8763-4_78

Cited by 5 publications

(4 citation statements)

References 57 publications

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“…There exist several studies discussing the instability of traffic flow caused by stochasticity (Treiber and Kesting 2013), for example, due to random route choices (Andreotti et al 2015) or the emergence of vehicle clusters due to random distance fluctuations (Kühne et al 2002). Typically, explanations for traffic fluctuations are random decelerations due to imperfect human driving behavior (Nagel and Schreckenberg 1992), external factors such as weather conditions, daytime (Kim, Mahmassani, and Dong 2010) or the existence of bottlenecks (Kerner 2019). In contrast, our minimal model shows that spontaneous number fluctuations alone already suffice to induce congestion.…”

Section: Resultsmentioning

confidence: 99%

Number Fluctuations Induce Persistent Congestion

et al. 2020

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The capacity of a street segment quantifies the maximal density of vehicles before congestion arises. Here we show in a simple mathematical model that fluctuations in the instantaneous number of vehicles entering a street segment are sufficient to induce persistent congestion. Congestion emerges even if the average flow is below the segment’s capacity where congestion is absent without fluctuations. We explain how this fluctuation-induced congestion emerges due to a self-amplifying reduction of the average vehicle velocities.

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Section: Resultsmentioning

confidence: 99%

Number Fluctuations Induce Persistent Congestion

et al. 2020

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“…There exist several studies discussing the instability of traffic flow caused by stochasticity [12], for example, due random route choices [1] or the emergence of vehicle clusters due to random distance fluctuations [7]. Typically, explanations for traffic fluctuations are random decelerations due to imperfect human driving behavior [9], external factors such as weather conditions, daytime [6] or the existence of bottlenecks [5]. In contrast, our minimal model shows that spontaneous number fluctuations alone already suffice to induce congestion.…”

Section: How Does This Spontaneous Breakdown Of Traffic Flow Emerge?mentioning

confidence: 99%

Number fluctuations induce persistent congestion

Krall,

Burg,

Schröder

et al. 2021

Preprint

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“…The social and ecological damages due to traffic jams justify the huge academic literature which has been devoted to traffic flow dynamics and its regulation. See, e.g., [20,21,22,23,28,29,32,39], and references therein. Lack of space prevents us from a careful analysis of the various standpoints which are often antagonist.…”

Section: Introductionmentioning

confidence: 99%

Ramp metering: modeling, simulations and control issues

Join,

Abouaïssa,

Fliess

2021

Preprint

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The aim of ramp metering is to improve the highway traffic conditions by an appropriate regulation of the inflow from the on-ramps to the highway mainstream. Our presentation rests on several improvements: 1) Our simulation techniques do not need contrarily to other approaches any heuristic fundamental law. 2) There is no need of crucial time-varying quantities, like the critical density, which is most difficult to estimate correctly online. 3) Our feedback loop, which is stemming from model-free control, is easy to implement and shows an excellent robustness with respect to model mismatch. Several computer experiments are displayed and discussed.

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Complex Dynamics of Traffic Management: Introduction

Cited by 5 publications

References 57 publications

Number Fluctuations Induce Persistent Congestion

Number Fluctuations Induce Persistent Congestion

Number fluctuations induce persistent congestion

Ramp metering: modeling, simulations and control issues

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