1959
DOI: 10.1287/opre.7.6.704
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A Safety Index for Traffic with Linear Spacing

Abstract: The authors have tried to improve the traffic dynamic theory of Professor Pipes and have found the fundamental equation of traffic dynamics for a case in which the velocity of the following vehicle is determined not only by the space between following and lead cars but also by the velocity of the lead car. The safety of the following car with respect to rear end collision when the lead car is in sinusoidal motion is quantified by introducing a safety index. At the same time, the authors describe the stability … Show more

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Cited by 81 publications
(23 citation statements)
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“…(1). Then Kometani and Sasaki (1959) proposed the first model of avoidance collision. This model aims to transcribing the trajectory of a vehicle according to a minimal safe distance.…”
Section: Microscopic Approachmentioning
confidence: 99%
“…(1). Then Kometani and Sasaki (1959) proposed the first model of avoidance collision. This model aims to transcribing the trajectory of a vehicle according to a minimal safe distance.…”
Section: Microscopic Approachmentioning
confidence: 99%
“…The CA model, which is known as the safe distance model was introduced in 1959 by Kometani and Sasaki (Kometani and Sasaki, 1959). The equation of this model is as follows:…”
Section: Collision Avoidance Model (Ca)mentioning
confidence: 99%
“…At the first time, this model was proposed by Reuschel (Reuschel, A, 1950) and Pipes (Pipes, Louis A, 1953) and had been extensively refined by Herman et al (Herman and Potts, 1900;Herman et al 1959;Rothery, 1965, Herman andRothery, 1967). Among the most prominent models widely used in many simulation software, several models can be mentioned, including GHR (Gazis, 1959), Collision Avoidance (CA) (Kometani and Sasaki, 1959), Gipps (Gipps, 1981), Helly (Helly, 1961), Fuzzy logic (Chakroborty and Kikuchi, 1999), and neural network (Panwai and Dia, 2007) models. Due to the multi-disciplinary study scope, all of the above mentioned have many parameters to calibrate.…”
Section: Introductionmentioning
confidence: 99%
“…Traditional car-following type models have been widely used, [14][15][16][17][18][19][20][21][22][23][24] but they had difficulties in reproducing the jamming transition. Recently more sophisticated models appeared from the physics community: the optimal velocity model based on second-order differential equations, 25,26 cellular automaton (CA) models, 3,27-35 and a coupled-map model which we have proposed in previous papers.…”
Section: The Modelmentioning
confidence: 99%