Linear stability analysis of an improved car-following model considering vehicle's inertia effect

Abstract

Car-following model and its variants are proposed to reproduce real traffic flow phenomena, but they ignore that different vehicles have different inertiasm, which is out of touch with reality. In this paper, a heterogeneous vehicular inertia (HVI) model is proposed by considering the vehicle's inertia effect based on the full velocity difference (FVD) model on a single-lane road. The linear stability theory is used to determine the stability condition for this model with time delay. The results demonstrate that the higher inertia effect and lower time delay effect would strengthen the stability of the proposed model.

Investigating the Influence of Urban Density and Concentrations on Commuting Distance and Time: Empirical Evidence from Suhag City

“…The scholarly discourse on the relationship between urban densities and commuting patterns has gained considerable attention, particularly after the emergence of megacities with intricate urban configurations. This extensive body of research underscores the belief that urban spatial structure fundamentally influences commuting patterns, which in turn are closely linked to various urban challenges such as traffic congestion, motorization, energy consumption, air pollution, and psychological and health issues [1,3,4,6,7,8,9,10,11,12,13,14]. Moreover, Urban density influences accessibility patterns and reflects the competition between land uses and traffic networks [5,15].…”