Analyses of a heterogeneous lattice hydrodynamic model with low and high-sensitivity vehicles

• Published in: Physics letters. A Vol. 382; no. 22; pp. 1449 - 1455
• Main Authors: Kaur, Ramanpreet, Sharma, Sapna
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 05.06.2018
• Subjects: Heterogeneous traffic; Lattice model; Optimal current difference; Stability; Heterogeneous traffic; Stability; Lattice model; Optimal current difference
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2018.03.045

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. •New lattice model for heterogeneous traffic is proposed by considering optimal current difference effect.•The effect of two types of vehicles (low and high sensitivity) is examined through linear stability analysis.•Different phases of traffic are shown in five distinct regions corresponding to different sensitivities.•Jamming transitions and density waves are analyzed through mKdV equation.•The theoretical results are validated with the help of simulation.