Prof Peter TAYLOR
Professor / Redmond Barry Professor / ACEMS Director
School of Mathematics and Statistics
- Room: 145
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Stochastic Processes
- Markov processes
- Queueing Networks
- Telecommunications systems
- Modelling of biological systems
- Parameter estimation
- Stochastic Petri nets
Research Groups
Recent Publications
Somya Mehra, J. McCaw, Mark B Flegg, P. Taylor. An Activation-Clearance Model for Plasmodium vivax Malaria.. Bulletin of mathematical biology, 82, 32 (21pp), 2020. doi: 10.1007/s11538-020-00706-1.
M. Fackrell, C. Li, P. Taylor, J Wang. The value of communication and cooperation when servers are strategic. The ANZIAM Journal, 349-367, 2020. doi: 10.1017/S1446181120000048.
S Dendievel, S. Hautphenne, G. Latouche, P. Taylor. The time-dependent expected reward and deviation matrix of a finite QBD process. Linear Algebra and Its Applications, 570, 61-92, 2019. doi: 10.1016/j.laa.2019.02.002.
N. Sonenberg, P. Taylor. Networks of interacting stochastic fluid models with infinite and finite buffers. Queueing Systems, 92, 293-322, 2019. doi: 10.1007/s11134-019-09619-w.
M. Holmes, P. Taylor. A paradox for expected hitting times. Stochastic Models, 1-13, 2019. doi: 10.1080/15326349.2019.1695136.
Current Postgraduate Supervision
Name | Thesis title |
---|---|
Weerasekara KARUNARATHNE | |
Behrooz NIKNAMI | |
Jiesen WANG | |
Chenchen XING |
Past Postgraduate Supervision
Name | Thesis title |
---|---|
Nanda ARYAL | "Stochastic Spatial-Temporal Models for Rainfall Processes" |
Peter BRAUNSTEINS | "Extinction in branching processes with countably many types" |
Jonathan BUDD | "Modelling and Simulation of Credit Card Behaviour" |
Joanne CHEW | "Skip-Stop Schedules for Public Transportation" |
Timothy HYNDMAN | |
Guo JUN | |
Paul KEELER | "Stochastic routing models in sensor networks" |
Ashwani KUMAR | "Intelligent management of elective surgery patient flow." |
Alana MOORE | "Managing bilological populations in the interface of uncertainty" |
Allan MOTYER | "Quasi-birth-and-death processes with an infinite phase space" |
Ellen MUIR | "Hypergeometric Distributions and Efficient Dynamic Market Clearing" |
Ana NOVAK | "Queuing problems in active probing: an application to a single hop network" |
Maya RAMAKRISHNAN | "Distributed approaches to capacity reallocation in networks" |
Nicholas READ | "Bush Escalation Probabilities in the Victorian Landscape" |
Yacov SALOMON | "Re-examining fundamental concepts and assumptions in conservation and management using mathematical theories of probability" |
Kate SAUNDERS | "Spatial and Temporal Statistical Modelling of Extreme Rainfall in Australia." |
Jason WHYTE | "Global a priori identifiability of biomolecular interaction models in flow-cell optical biosensor experiments" |
James ZHAO | "Hidden Markov models with multiple observation processes" |
Current MSc Students
Name | Project title |
---|---|
Yajing GUO | |
Ria SZEREDI | |
Edward WEINSTOCK |
Past Honours & MSc Students
Name | Project title |
---|---|
Giles ADAMS | |
Jason ARCHER | |
Peter BRAUNSTEINS | |
Jonathan BUDD | |
Daphne DO | "Formulating and Modelling Robust Decision-Making Problems Under Severe Uncertainty" |
Yani GENG | |
John GILBERTSON | |
Clare KITCHING | |
Ashwani KUMAR | |
Jennifer KUSUMA | "Decomposition Approach to Serial Inventory Systems under Uncertainties" |
Robert MARSHALL | |
Ellen MUIR | |
Behrooz NIKNAMI | |
Vincent PANG | |
Auron SEIKEN | "The Branch-and-Cut Methodology for Mixed Integer Programming" |
Nikki SONENBERG | "Building Stochastic Models of Mobile Ad Hoc Networks" |
Jinghan XIA | |
Chenchen XING | |
James ZHAO | "Hidden Markov Models" |
Recent Grant History
Year(s) | Source | Type | Title |
---|---|---|---|
2014 - 2016 | ARC | Centre Of Excellence | ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS) |
2013 - 2018 | ARC | ARC Laureate Fellowship | New stochastic models for Science, Economics, Social Science and Engineering (Laureate 080069) |
2011 - 2013 | ARC | Discovery | New methods for improving active adaptive management in biological systems |
2011 - 2013 | ARC | Discovery | Advanced matrix-analytic methods with applications |
Responsibilities
- Academic Board member
- ACEMS Director
- CEBRA Board
Committees
- Management Committee
- Research and Industry Committee
- Strategic Planning Committee