Acceleration Profile Models for Vehicles in Road Traffic

Abstract

This paper is related to the intersection analysis methodology used in the SIDRA INTERSECTION software. Since the publication of this paper, many related aspects of the traffic model have been further developed in later versions of SIDRA INTERSECTION. Though some aspects of this paper may be outdated, this reprint is provided as a record of important aspects of the SIDRA INTERSECTION software, and in order to promote software assessment and further research.

Advances in Genetic Algorithm Optimization of Traffic Signals

“…In reality, drivers increase acceleration gradually up to the maximum acceleration rate. This has been confirmed by the observation of S-shaped speed versus time curves (153) . These shortcomings are resolved by the polynomial acceleration model developed by Akcelik and Biggs (153) , which describes acceleration as a polynomial function of time.…”

“…• The jerk at the start of acceleration (see Figure 19), is conceptually incorrect (153) . In reality, drivers increase acceleration gradually up to the maximum acceleration rate.…”

“…As a consequence, the linear acceleration model was adopted for modelling free flow acceleration in MSTRANS, despite the shortcomings mentioned. 61 In the paper by Akcelik and Biggs (153) , the polynomial model is compared to a linear acceleration model. However, the "linear acceleration model" considered in their paper is one where accerlation decreases linearly with time.…”

Speed trajectory planning at signalized intersections using sequential convex optimization

“…The reaction distance is defined as the maximum distance to the intersection where driver starts to decelerate if the light state is red. The desired acceleration /deceleration time and distance is calculated with empirical functions from [21] where x a and x d are desired acceleration/deceleration distance, t a and t d are desired acceleration/deceleration time, v f and v i are desired final and initial speed. The reaction distance is set as 150 m to the intersection.…”

Modeling cyclist acceleration process for bicycle traffic simulation using naturalistic data

“…Besides the intuitive feature of U-shape curve, another one from a mathematical perspective should also be taken into consideration that zero acceleration, a = 0, and zero jerk, da/dt = 0, at the start and end of both acceleration and deceleration cases (time 0 and time t) must be satisfied. As a result, a polynomial model introduced by Akçelik and Biggs (1987) in an attempt to model driver's acceleration profiles was adopted in our study. The form of the polynomial model is shown as follow:…”