Analysis of fixed-time control☆
By Ajith Muralidharan, Ramtin Pedarsani, Pravin Pratap Varaiya. 2014
78 citations recorded by the source corpus.
The paper presents an analysis of the traffic dynamics in a network of signalized intersections. The intersections are regulated by fixed-time (FT) controls, all with the same cycle length or period, T. The network is modeled as a queuing network. Vehicles arrive from outside the network at entry links in a deterministic periodic stream, also with period T. They take a fixed time to travel along each link, and at the end of the link they join a queue. There is a separate queue at each link for each movement or phase. Vehicles make turns at intersections in fixed proportions, and eventually leave the network, that is, a fraction r(i,j) of vehicles that leave queue i go to queue j and the fraction [1-∑jr(i,j)] leave the network. The storage capacity of the queues is infinite, so there is no spill back. The main contribution of the paper is to show that if the signal controls accommodate the demands then, starting in any initial condition, the network state converges to a unique periodic orbit. Thus, the effect of initial conditions disappears. More precisely, the state of the network at time t is the vector x(t) of all queue lengths, together with the position of vehicles traveling along the links. Suppose that the network is stable, that is, x(t) is bounded. Then
Subfields: Control and Systems Engineering, Electrical and Electronic Engineering, Transportation
View Paper: https://www.semanticscholar.org/paper/ba0dc855247163f5fb839a5e8ab4990bb02a6568
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
In Electrical and Electronic Engineering
In Transportation
Citations in the corpus
- Platoons of connected vehicles can double throughput in urban roads (2015, methodology): “Our third model is a fluid queuing network proposed in Muralidharan et al. (2015), and we study its behavior as saturation flows and arrival rates are increased by the same factor.”