2008
DOI: 10.1080/18128600808685687
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Operational Effects of Acceleration Lane on Main Traffic Flow at Discontinuities

Abstract: Recent studies have indicated that on-ramp flow is important in the formation of the stop-and-go traffic flow near the ramp. Several models have been developed to explain the complex phenomena associated with ramps which result in the hysteretic phase transitions. A good understanding of the mechanisms of congestion near on-ramps is very useful for the development of suitable control and highway design measures. To this end, in this paper traffic flow operations on a freeway with an on-ramp are investigated ba… Show more

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Cited by 20 publications
(10 citation statements)
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References 27 publications
(45 reference statements)
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“…It produces oscillations owing to a braking probability that can be constant or a function of the speed (Barlovic et al 1998(Barlovic et al , 2002, as do the second-order macroscopic models proposed by Khoshyaran & Lebacque (2007). Gas-kinetic models are inherently stochastic (Helbing & Treiber 1998;Shvetsov & Helbing 1999;Helbing et al 2001;Ngoduy et al 2006;Ngoduy 2008), but have decreased in popularity, probably because of the large number of non-physical parameters needed, and the complexity of their implementation. Del Castillo (2001) and Kim & Zhang (2008) took Newell's conjectures, supposed that the paths between the two congested branches were random and showed how this produces oscillations that grow or dissipate.…”
Section: Introductionmentioning
confidence: 99%
“…It produces oscillations owing to a braking probability that can be constant or a function of the speed (Barlovic et al 1998(Barlovic et al , 2002, as do the second-order macroscopic models proposed by Khoshyaran & Lebacque (2007). Gas-kinetic models are inherently stochastic (Helbing & Treiber 1998;Shvetsov & Helbing 1999;Helbing et al 2001;Ngoduy et al 2006;Ngoduy 2008), but have decreased in popularity, probably because of the large number of non-physical parameters needed, and the complexity of their implementation. Del Castillo (2001) and Kim & Zhang (2008) took Newell's conjectures, supposed that the paths between the two congested branches were random and showed how this produces oscillations that grow or dissipate.…”
Section: Introductionmentioning
confidence: 99%
“…The derivation method in this section is a so‐called method of moments. In principle, the method of moments has been applied widely to obtain macroscopic traffic models from gas‐kinetic theory in literature (Treiber et al., ; Helbing et al., ; Hoogendoorn et al., ; Ngoduy et al., ; Ngoduy, ; Ngoduy and Tampere, ). By definition, the macroscopic traffic variables are determined as below: Density r(x,t) describing the number of vehicles per unit road length [x,x+dx] at time t .…”
Section: Multianticipative Macroscopic Modelmentioning
confidence: 99%
“…This section mainly focuses on the description of the higher macroscopic models, which are relevant for freeway traffic dynamics in replicating many realistic congested traffic states (Helbing et al, 1999; Ngoduy, 2008b). The additional equation for the speed (or flow) dynamics allows the higher order models to estimate the speed better than the first order model, which assumes a nonrealistic equilibrium density and speed relationship.…”
Section: Dynamic Equations Of Traffic Flow Operationsmentioning
confidence: 99%