TY - JOUR PY - 2010// TI - Car-following models: fifty years of linear stability analysis - a mathematical perspective JO - Transportation planning and technology A1 - Wilson, R.E. A1 - Ward, J.A. SP - 3 EP - 18 VL - 34 IS - 1 N2 - Abstract A general framework for car-following models is developed and its linear stability properties are analysed. The concepts of uniform flow, platoon stability and string stability are introduced and criteria which test for them are developed. Finally, string instability is divided into absolute, convective upstream and convective downstream sub-classes, and a procedure is developed to distinguish between them.

LA - en SN - 0308-1060 UR - http://dx.doi.org/10.1080/03081060.2011.530826 ID - ref1 ER -