PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Fluid limits of many-server queues with delayed feedback and differentiated patience times
Seminar:Seminar on Probability and its Application
Speaker:Guodong Pang, Pennsylvania State University
Abstract:
We consider a non-Markovian many-server queueing model in which customers may reenter for additional service after some random delay, customers may abandon if their patience time limits are reached while waiting in queue, and the patience levels of new and feedback customers are differentiated. Under mild conditions on the general service and patience time distributions, we establish a measure-valued fluid model approximation for the system dynamics. We further derive the steady state performance measures and analyze the impact of impatience differentiation. In addition, we design an algorithm to compute the transient measure-valued system dynamics when the arrival rate function is time-varying. (This is joint work with Weining Kang, UMBC.)

Room Reservation Information

Room Number:MB106
Date:09 / 28 / 2012
Time:02:20pm - 03:20pm