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

  • 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. Read, TJ Duff, P. Taylor. A lightning-caused wildfire ignition forecasting model for operational use. Agricultural and Forest Meteorology, 253-254, 233-246, 2018. doi: 10.1016/j.agrformet.2018.01.037.

  • A. Kumar, A. Costa, M. Fackrell, P. Taylor. A sequential stochastic mixed integer programming model for tactical master surgery scheduling. European Journal of Operational Research, 734-746, 2018. doi: 10.1016/j.ejor.2018.04.007.

  • JK Budd, P. Taylor. Bounds for the solution to the single-period inventory model with compound renewal process input: An application to setting credit card limits. European Journal of Operational Research, 1012-1018, 2018. doi: 10.1016/j.ejor.2018.11.022.

  • Dario Bini, Jeffrey J Hunter, G. Latouche, Beatrice Meini, P. Taylor. Why is Kemeny's constant a constant?. Journal of Applied Probability, 55, 1025-1036, 2018. doi: 10.1017/jpr.2018.68.

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Current Postgraduate Supervision

Name Thesis title
Kate SAUNDERS "Spatial and Temporal Statistical Modelling of Extreme Rainfall in Australia."
Shrupa SHAH "Understanding the contribution of space on the spread of Influenza using an Individual-based model approach"

Past Postgraduate Supervision

Name Thesis title
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"
Paul KEELER "Stochastic routing models in sensor networks"
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"
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

Past MSc Students

Name Project title
Jonathan BUDD
Daphne DO "Formulating and Modelling Robust Decision-Making Problems Under Severe Uncertainty"
Ashwani KUMAR
Jennifer KUSUMA "Decomposition Approach to Serial Inventory Systems under Uncertainties"
Cong LI
Ellen MUIR
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
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
2003 - 2010 ARC Centre Of Excellence ARC Centre of Excellence for Mathematics and Statistics of Complex Systems


  • Academic Board member
  • ACEMS Director
  • CEBRA Board


  • Research and Industry Committee
  • Strategic Planning Committee