Events Calendar

Astani Civil and Environmental Engineering Ph.D. Seminar

Speaker: Mohammad Ali Motie Share , Astani CEE Ph.D. Student

Talk Title: Horizontal Traffic Queues: From Microscopic to Macroscopic Models

Abstract: Motivated by emerging ITS technologies such as Vehicle-to-Vehicle (V2V) and Vehicle-to-Infrastructure (V2I) communications, we consider a Horizontal Traffic Queue (HTQ) on a circular road, where vehicles arrive according to a spatio-temporal Poisson process, and, upon arrival move clockwise until they reach a common destination point, from which they depart the queue. When inside the queue, vehicles communicate with each other and the speed of a vehicle is a function of the distance to the vehicle in front. We analyze the stability of this queuing system and provide a tight characterization of the maximum traffic flow. We also study the evolution of the system in between the jumps to characterize finer properties of the queueing system. In the proposed HTQ, we associate the road with a server that simultaneously serves all the vehicles present on the road. This analogy suggests the relation between HTQ and processor sharing (PS) queues. We use this connection to derive the fluid limit of the proposed system that gives a macroscopic representation of the underlying microscopic queueing system.

Location: Grace Ford Salvatori Hall Of Letters, Arts & Sciences (GFS) - 106

Audiences: Everyone Is Invited

Contact: Evangeline Reyes