Two-Parameter Heavy-Traffic Limits for Infinite-Server Queues

DATE: August 18, 2009

TIME: 11:00 AM – 12:00 PM

LOCATION: Executive Classroom

FEES: none

EVENT CONTACT:

Anita Race, H. Milton Stewart School of Industrial and Systems Engineering
Contact Anita Race

TITLE: Two-Parameter Heavy-Traffic Limits for Infinite-Server Queues with Delayed Feedbacks

SPEAKER: Guodong (Gordon) Pang
Columbia University

ABSTRACT:

We prove FWLLN and FCLT limits for queue-length processes, including elapsed or remaining service times, for non-Markovian infinite-server queues with delayed feedback, where both the arrivals and the feedback are allowed to be time varying. We are motivated by call centers in which customers may not initially receive adequate service, and so often need to call back later, which adds to the system load and changes time-varying arrival patterns.

Joint work with Ward Whitt