Senior Lecturer Ilze Ziedins

City Room: 303S.277 Science Centre Extn: 85051 Email: ilze@stat.auckland.ac.nz

Dr Ziedins joined the department in 1993. She has a BA from Waikato University and a PhD from Cambridge, England. Her current research interests include stochastic networks and queueing theory.

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My primary research interest is in the modelling, analysis and optimization of stochastic networks, with particular application to telecommunications networks, including the Internet, and transportation networks. Particular themes that I am currently working on include phase transitions and controls in tree loss networks; system optimal and user optimal admission and routing controls in queueing networks; and the analysis and modelling of Internet traffic data.

Recent publications include

S Zachary and I Ziedins (1999) Loss networks and Markov random fields. Journal of Applied Probability, 36, 403-414.

K Ramanan, A Sengupta, I Ziedins and P Mitra (2002) Markov random field models of multicasting in tree loss networks. Advances in Applied Probability, 34, 58-84.

S Zachary and I Ziedins (2002) A refinement of the Hunt-Kurtz theory of large loss networks, with an application to virtual partitioning. Annals of Applied Probability, 12, 1-22.

B Luen, K Ramanan and I Ziedins (2003) Multicasting and phase transitions in tree loss networks. Forty-First Allerton Conference on Communication, Control and Computing. Urbana-Champaign, Illinois, USA. 1-3 October, 2003.