Optimal Velocity Model with Dual Boundary Optimal Velocity Function

This paper proposes a dual boundary optimal velocity model (DBOVM) by substituting a dual boundary optimal velocity function (DBOVF) for the original one in the optimal velocity model (OVM). The proposed DBOVM can describe the driving behavior of accepting a range of satisfied conditions instead of an optimal one under steady traffic. The speed adjustment mechanism is introduced into the DBOVM, by which traffic flow can reach the steady state everywhere inside of the dual boundary steady region. Properties of traffic state transition in the law of DBOVM are analyzed. The approximately linear path of state transition is found, and four typical state transition patterns are presented. Besides, the stability of DBOVM is studied by means of numerical simulations. It is found that the dual boundary steady region has the hysteresis effect that is similar to the explicit time delay in the OVM. The speed adjustment mechanism can restrain the hysteresis to some extent and improve the traffic stability. The dual boundary steady region in the general DBOVM allows the traffic flow to reach some new steady state slightly apart from the formal one under the effect of small perturbation, which does not exist for models containing one-dimensional optimal velocity functions.

Language

  • English

Media Info

  • Media Type: Digital/other
  • Features: Figures; References; Tables;
  • Pagination: pp 65-81
  • Monograph Title: Celebrating 50 Years of Traffic Flow Theory: A Symposium. August 11-13, 2014, Portland, Oregon
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 01604709
  • Record Type: Publication
  • Files: TRIS, TRB, ATRI
  • Created Date: Jun 21 2016 10:46AM