4.5 Article

Optimal velocity difference model for a car-following theory

Journal

PHYSICS LETTERS A
Volume 375, Issue 45, Pages 3973-3977

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.09.037

Keywords

Traffic flow; Optimal velocity model; Numerical simulation

Funding

  1. Chinese Ministry of Education [211123]
  2. Hunan Provincial Education Department, China [10B072]
  3. Doctor Scientific Research Startup Project Foundation of Hunan University of Arts and Science, China [BSQD1010]
  4. Scientific Research Foundation of Hunan University of Arts and Science, China [JJZD0902]
  5. Fund of Key Construction Academic Subject of Hunan Province, China

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In this Letter, we present a new optimal velocity difference model for a car-following theory based on the full velocity difference model. The linear stability condition of the new model is obtained by using the linear stability theory. The unrealistically high deceleration does not appear in OVDM. Numerical simulation of traffic dynamics shows that the new model can avoid the disadvantage of negative velocity occurred at small sensitivity coefficient X in full velocity difference model by adjusting the coefficient of the optimal velocity difference, which shows that collision can disappear in the improved model. (C) 2011 Elsevier B.V. All rights reserved.

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