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“…Eq. (1) is adapted from a mult i-anticipatory model proposed by Chen and Liu [32] to model car following behaviour. It is an extension of a strand of well-studied carfollowing models based on the concept of an 'optimal velocity'.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…The concept was first proposed by Bando et al [29]; the difference between the optimal velocity and the velocity of the considered vehicle is assumed to be a stimu lus for driver's actions. Chen and Liu [32] consider the desired following distance as another explicit stimulus and formulate the following vehicle's acceleration as a linear function of the optimal velocity and the desired distance.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…We adopt also from Chen and Liu [32] the follo wing functions to model the optimal velocity in relation to the space gap: Eq. (2) models the optimal velocity as a function of the space gap, while Eq.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…Chen and Liu [32] derived the theoretical condition for linear stability of the dual control model of Eq. (1) - (3).…”
Section: A Theoretical Stability Conditionsmentioning
“…Eq. (1) is adapted from a mult i-anticipatory model proposed by Chen and Liu [32] to model car following behaviour. It is an extension of a strand of well-studied carfollowing models based on the concept of an 'optimal velocity'.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…The concept was first proposed by Bando et al [29]; the difference between the optimal velocity and the velocity of the considered vehicle is assumed to be a stimu lus for driver's actions. Chen and Liu [32] consider the desired following distance as another explicit stimulus and formulate the following vehicle's acceleration as a linear function of the optimal velocity and the desired distance.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…We adopt also from Chen and Liu [32] the follo wing functions to model the optimal velocity in relation to the space gap: Eq. (2) models the optimal velocity as a function of the space gap, while Eq.…”
Section: A a Dual-control Train-following Modelmentioning
confidence: 99%
“…Chen and Liu [32] derived the theoretical condition for linear stability of the dual control model of Eq. (1) - (3).…”
Section: A Theoretical Stability Conditionsmentioning
“…In the past few decades, many researchers have actively modelled the car-following behaviours of regular vehicles (RVs) [15][16][17][18][19][20][21][22]. Bando et al [11] proposed an optimal velocity model (OVM) based on the assumption that a driver has a desired optimal velocity while driving.…”
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