- Series
- ACO Student Seminar
- Time
- Friday, April 6, 2012 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Christian Houdré – Georgia Tech, School of Mathematics – http://people.math.gatech.edu/~houdre/
- Organizer
- Cristóbal Guzmán
Consider a series of n single-server queues each with unlimited waiting
space and FIFO discipline. At first the system is empty, then m customers
are placed in the first queue. The service times of all the customers at
all the queues
are iid. We are interested in the exit time of the last customer from the
last
server and that's when queues meet random matrices and
GUEs. If the number of customers
is a small fractional power of the number of servers, and as such
customers stay within a tube, that's when queues encounter Tracy and Widom.
This talk will be self contained and accessible to graduate students.