A queueing theory approach for a multi-speed exclusion process

Details A queueing theory approach for a multi-speed exclusion process A queueing theory approach for a multi-speed exclusion process

2011-09-08

arxiv.org/abs/1109.1756v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures, in Proceedings of Traffic and granular flow 2007

Scientific paper

We consider a one-dimensional stochastic reaction-diffusion generalizing the totally asymmetric simple exclusion process, and aiming at describing single lane roads with vehicles that can change speed. To each particle is associated a jump rate, and the particular dynamics that we choose (based on 3-sites patterns) ensures that clusters of occupied sites are of uniform jump rate. When this model is set on a circle or an infinite line, classical arguments allow to map it to a linear network of queues (a zero-range process in theoretical physics parlance) with exponential service times, but with a twist: the service rate remains constant during a busy period, but can change at renewal events. We use the tools of queueing theory to compute the fundamental diagram of the traffic, and show the effects of a condensation mechanism.

Affiliated with

Also associated with

No associations

Rating

A queueing theory approach for a multi-speed exclusion process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A queueing theory approach for a multi-speed exclusion process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A queueing theory approach for a multi-speed exclusion process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475519