Speaker: Professor Søren Asmussen, Aarhus University

The busy period R in an M/G/1 queue and various quantities associated with branching processes satisfy fixed point equations of the form, variants occur for example for the Google page rank algorithm.  We present a simple derivation of the asymptotics of the tail of R under a regular variation condition somewhat more general than in the literature, and give a multivariate version applying to
multitype branching processes and multiclass queues.

Joint work with Sergey Foss.

About Statistics, modelling and operations research seminars

Students, staff and visitors to UQ are welcome to attend our regular seminars.

The events are jointly run by our Operations research and Statistics and probability research groups, and colleagues in the Centre for Applications in Natural Resource Mathematics.

Seminars are usually held on Tuesdays from 11am to 12pm.

Information for speakers

Plan to speak for up to 40 minutes, and allow up to 15 minutes for questions and discussion.

Pitch your presentation to an interdisciplinary mathematical audience.

To avoid technical delays on the day, contact us a few days in advance of your presentation to discuss requirements.

You can either email us your presentation in advance, or save it to a memory stick. Microsoft PowerPoint presentations and PDFs are the most convenient file formats, but you can also run the talk from your own laptop.

Venue

Priestley Building (67)
Room: 
442