A Queueing Model for Road Traffic Flow

Miller, A. J.

doi:10.1111/j.2517-6161.1961.tb00391.x

Cited by 85 publications

(31 citation statements)

References 8 publications

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“…The kink in the fictional curve is found between two regions some place after a gap value of 10 seconds. Earlier, Miller (1961) identified this boundary with a headway value of 6 seconds at two-lane highways. The same histograms were plotted for the remaining study sites, which also exhibited the same trend.…”

Section: Characterisation Of Gap Distributionmentioning

confidence: 99%

Measurement of free-flow conditions on multilane intercity highways under heterogeneous traffic conditions

Boora

Ghosh

Chandra

et al. 2018

J. S. Afr. Inst. Civ. Eng.

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Master of Technology (MTech) from the National Institute of Technology Kurukshetra (NIT) in 2012 on the topic "Effect of fly ash on the CBR value of different soils". He is currently a PhD research scholar at the Indian Institute of Technology (IIT) Roorkee, India, and is working on the topic "Operational performance measures for intercity roads". He has published more than ten research papers in reputed international journals and conference proceedings.

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Section: Characterisation Of Gap Distributionmentioning

confidence: 99%

Measurement of free-flow conditions on multilane intercity highways under heterogeneous traffic conditions

Boora

Ghosh

Chandra

et al. 2018

J. S. Afr. Inst. Civ. Eng.

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“…To understand traffic phenomena, several bunching models have been proposed. Among them, the geometric distribution model (Miller, 1961), the Borel-Tanner distribution model (Tanner, 1961), and the Miller distribution model (Miller, 1961) have been widely accepted (e.g., Surasak et al, 2001). The model proposed by Tanner, however, did not represent vehicles' movement on expressways.…”

Section: Platoon Formation Modelmentioning

confidence: 99%

Platoon-based traffic flow model for estimating breakdown probability at single-lane expressway bottlenecks

Shiomi

Yoshii

Kitamura

2011

Transportation Research Part B: Methodological

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This study investigates the mechanism of traffic breakdown and establishes a traffic flow model that precisely simulates the stochastic and dynamic processes of traffic flow at a bottleneck. The proposed model contains two models of stochastic processes associated with traffic flow dynamics: a model of platoon formation behind a bottleneck and a model of speed transitions within a platoon. After these proposed models are validated, they are applied to a simple one-way, one-lane expressway section containing a bottleneck, and the stochastic nature of traffic breakdown is demonstrated through theoretical exercises.

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“…They allow vehicles to react to distur-bances in front earlier by adjusting their speed. Empirical observations suggest that drivers react in a temporalhorizon rather than a spatial-horizon (George, 1961;Miller, 1961). For this reason the velocity-dependent temporal interaction horizon…”

Section: Simulation Modelmentioning

confidence: 99%

A High-Resolution Cellular Automata Traffic Simulation Model with Application in a Freeway Traffic Information System

Hafstein

Chrobok

Pottmeier

et al. 2004

Comp-aided Civil Eng

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In this article, we describe a novel traffic information system for the freeway traffic in North Rhine‐Westphalia (NRW), the most populous German state. It consists of more than 4,000 loop detectors, a simulator, and a microscopic and macroscopic graphical interface. These should be considered as “data input,”“data processing,” and “data output,” respectively. First, we discuss the loop detectors: Their mode of operation, how and where they are located, and the quality of their measurements. Next, we describe the simulator, especially its high‐resolution cellular automaton model of traffic flows, the abstraction of the road network into tracks and nodes, how the data from the loop detectors is integrated, and we give some details on an efficient implementation of the dynamics. Finally, we discuss the graphical interfaces, which display the simulated traffic states, and we give some concluding remarks. In particular, we present the traffic information web page http://www.autobahn.nrw.de, where the simulated actual traffic state on the freeway network in NRW can be sighted.

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A Queueing Model for Road Traffic Flow

Cited by 85 publications

References 8 publications

Measurement of free-flow conditions on multilane intercity highways under heterogeneous traffic conditions

Measurement of free-flow conditions on multilane intercity highways under heterogeneous traffic conditions

Platoon-based traffic flow model for estimating breakdown probability at single-lane expressway bottlenecks

A High-Resolution Cellular Automata Traffic Simulation Model with Application in a Freeway Traffic Information System

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