Inefficient emergent oscillations in intersecting driven many-particle flows

Abstract

Oscillatory flow patterns have been observed in many different driven many-particle systems. The conventional assumption is that the reason for emergent oscillations in opposing flows is an increased efficiency (throughput). In this contribution, however, we will study intersecting pedestrian and vehicle flows as an example for inefficient emergent oscillations. In the coupled vehicle-pedestrian delay problem, oscillating pedestrian and vehicle flows form when pedestrians cross the street with a small time gap to approaching cars, while both pedestrians and vehicles benefit, when they keep some overcritical time gap. That is, when the safety time gap of pedestrians is increased, the average delay time of pedestrians decreases and the vehicle flow goes up. This may be interpreted as a sloweris-faster effect. The underlying mechanism of this effect is explained in detail.

Vehicular traffic flow at an intersection with the possibility of turning

“…Figures (22) and (23) exhibit dependence of total current J tot versus T g for various values of cycle time T and input rate d 1 .…”

Cellular Automata for Bus Dynamics

“…In most previous studies, these two issues were often addressed separately. In references (Brockfeld et al, 2001;Huang & Huang, 2003a;Huang & Huang, 2003b;Tan et al, 2004;Toledo et al, 2004;Jiang & Wu, 2005;Nagatani, 2005a;Nagatani, 2005b;Nagatani, 2005c;Nagatani, 2006a;Nagatani, 2006b;Toledo et al, 2007;Nagatani, 2007a;Nagatani, 2007b;Nagatani, 2007d;Nagatani, 2007e;Nagatani, 2008), the impacts of traffic lights have been studied in some details. Yet the main concern is on the passenger cars, not the public transportation.…”

Interactions between Pedestrians Crossing and Vehicles on Roads

“…So far, several models have been developed for studying the problem. These models can be classified into such three categories as the theoretical analysis models [1][2][3], the field study estimation models [4][5][6], and the microscopic simulation models [7][8][9][10][11] in general. Guo et al [3] proposed a crossing pedestrian delay analysis model, in which the overall delay of pedestrians is obtained as a combination of the delay induced by vehicle clusters and the delay to pedestrians arriving during random vehicle flows between the clusters.…”

“…Considering that the process of pedestrians' entry to signalized crosswalk can affect their delay, Kruszyna et al [6] proposed three delay estimation models. Jiang et al [9] studied the coupled vehiclepedestrian delay problem, considering the mutual interactions between vehicles and pedestrians, and using a car-following model to formulate vehicle movement. Using a cellular automata micro-simulation model, Zhang et al [11] described the behavior of mixed traffic flows at crosswalks where pedestrians compete with vehicles to cross the crosswalks under traffic light control.…”