Eur. Phys. J. B (2023) 96: 85
https://doi.org/10.1140/epjb/s10051-023-00537-8

Reply to Comment - Statistical and Nonlinear Physics

Traffic fuel consumption evaluation of the on-ramp with acceleration lane based on cellular automata

¹ Department of Public Administration, School of Public Economics and Administration, Shanghai University of Finance and Economics, 200433, Shanghai, China
² Institute of Physical Science and Technology, Guangxi University, 530004, Nanning, China

^c fsuwei@mail.shufe.edu.cn

Received: 3 February 2023
Accepted: 13 May 2023
Published online: 23 June 2023

Abstract

Based on Nagel–Schreckenberg (NaSch) traffic flow model, a novel fuel consumption model of on-ramp with acceleration lane under open boundary condition is proposed. Phase diagram is determined by analysis of spatial–temporal patterns. The phase diagram is divided into free flow on the main upstream and the on-ramp; free flow on the main upstream and low-speed motion on the on-ramp; low-speed motion on the main upstream and free flow on the on-ramp; low-speed motion on the main upstream, and global congestion on the on-ramp. The difference in the appearance of phase diagram is found to be related to the length of acceleration lane. The longer of acceleration lane, the more prone to low-speed motion on the main upstream. The numerical computations for fuel consumption in the injected probability of the main road, the injected probability of the on-ramp, and the length of acceleration lane are carried out. Fuel consumption is explained by the traffic flow, average velocity, and lane-change frequency of the accelerated lane. The injected probability of the main road and the on-ramp has a great impact on fuel consumption in free flow. The highest fuel consumption occurs during low-speed motion, whereas the lowest fuel consumption is observed during global congestion. Moreover, the results indicate that fuel consumption on the main road increases potentially by curtailing the length of acceleration lane in low-speed motion of the main road.