PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Two-parameter heavy-traffic limits for infinite-server queues
Seminar:Seminar on Probability and its Application
Speaker:Guodong Pang, PSU
Abstract:
For infinite-server queues with general non-exponential service-time distributions and general arrival processes, possibly with time-varying arrival rates, I will discuss heavy-traffic limits for two-parameter stochastic processes, Q^e(t, y) and Q^r (t, y) representing the number of customers in the system at time t that have elapsed service times less than or equal to time y, or residual service times strictly greater than y. The two-parameter stochastic-process limits are in the space D([0,∞),D) of D-valued functions in D and the variability of service times is captured by the Kiefer process with second argument set equal to the service-time cdf.

Room Reservation Information

Room Number:MB106
Date:02 / 11 / 2011
Time:02:20pm - 03:20pm