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. Antibody Dynamics for Plasmodium vivax Malaria: A Mathematical Model.. Bulletin of mathematical biology, 83, 6 (27pp), 2021. doi: 10.1007/s11538-020-00837-5.
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.
R. Bowden, HP Keeler, AE Krzesinski, P. Taylor. Modeling and analysis of block arrival times in the Bitcoin blockchain. Stochastic Models, 602-637, 2020. doi: 10.1080/15326349.2020.1786404.
J. Fu, B Moran, P. Taylor, C Xing. Resource competition in virtual network embedding. Stochastic Models, 1-33, 2020. doi: 10.1080/15326349.2020.1858875.
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