Journal
PHYSICS LETTERS A
Volume 382, Issue 22, Pages 1449-1455Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2018.03.045
Keywords
Heterogeneous traffic; Lattice model; Stability; Optimal current difference
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Basic lattice model is extended to study the heterogeneous traffic by considering the optimal current difference effect on a unidirectional single lane highway. Heterogeneous traffic consisting of low-and high-sensitivity vehicles is modeled and their impact on stability of mixed traffic flow has been examined through linear stability analysis. The stability of flow is investigated in five distinct regions of the neutral stability diagram corresponding to the amount of higher sensitivity vehicles present on road. In order to investigate the propagating behavior of density waves non linear analysis is performed and near the critical point, the kink antikink soliton is obtained by driving mKdV equation. The effect of fraction parameter corresponding to high sensitivity vehicles is investigated and the results indicates that the stability rise up due to the fraction parameter. The theoretical findings are verified via direct numerical simulation. (C) 2018 Elsevier B.V. All rights reserved.
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