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Associate ProfessorMalgorzata O'Reilly

Associate Professor

Mathematics

Orcid identifier0000-0003-3898-3957 (opens in a new tab)⁠
  • Associate Professor
    Mathematics
  • +61 3 6226 2405 (Work)
  • +61 3 6226 2867 (Fax)
  • School of Natural Sciences, Mathematics, 455 Maths-Physics Building, Sandy Bay Campus, TAS

RESEARCH SUMMARy

Expertise

Applied probability
Matrix-analytic methods
Stochastic modelling
Operations research
Modelling of complex systems


Research Themes

Małgorzata's research aligns to the University's research theme of Data, Knowledge and Decisions. Her research interests lie in applied probability and operations research, which are the areas that form the foundation of theoretical and applied framework of methodologies with applications in a wide range of real-life systems of considerable engineering and environmental systems of significance.

Collaboration

Early in her career, during her postdoc, Małgorzata has established collaborations in matrix-analytic methods with Nigel Bean (Adelaide University) and Peter Taylor (Melbourne University). Later, through her multiple research initiatives, invited visits and grants, she has formed collaborative links in applied probability with Barbara Margolius (Cleveland University), Werner Scheinhardt (University of Twente), and Zbigniew Palmowski (Wroclaw University of Technology); in remote sensing with JC Olivier (Engineering, UTAS); and in modelling mobile networks with James Montogomery (School of Information & Communication Technology, UTAS).

In 2015, Małgorzata has organised Stochastic Modelling meets Phylogenetics collaborative workshop (http://www.maths.utas.edu.au/People/oreilly/SMMP/smmp2015.html) with the aim to establish a cross-disciplinary collaboration in stochastic modelling and phylogenetics, and to facilitate training and innovation, with the focus on the development of collaborative projects encompassing the two research areas. Since then, she has formed a successful collaboration with Barbara Holland (Discipline of Mathematics, UTAS) and David Liberles (Temple University), developing novel advanced models and computational techniques for the analysis of evolution of species and gene families, building on her expertise in matrix-analytic methods.

In recent years, Małgorzata has established a multi-disciplinary collaborative research group in modelling healthcare systems at the University of Tasmania, "Designs for a Better Patient Journey. She is leading work on novel models for the optimisaiton of patient flow, in collaboration with Richard Turner (School of Medicine, UTAS), Pieter Van Dam (School of Medicine, UTAS), and James Montgomery (School of Information & Communication Technology, UTAS).

Current projects

Małgorzata is continuing her work on several projects in applied probability and applications to evolution and the analysis of complex, unpredictable systems. In particular, she is currently leading research projects in modelling healthcare systems, in collaboration with School of Medicine, Royal Hobart Hospital and Tasmanian Department of Health.

FUNDED PROJECTS

  • GRANT
    An Investigation into in the Optimisation of Patient Flow
    Royal Hobart Hospital Research Foundation1 Jan 2022 - 31 Mar 2023
    People funded by this grant:
    • Van Dam P,
    • Turner R,
    • O'Reilly M
    Project Total: $9,961; Poor patient flow directly contributes to Emergency Department crowding, bed access-block, and increased length of stay, all of which pose substantial risks to patient safety. The aim of this project is to gain insights about factors that influence patient flow and use them to build predictive mathematical models for optimising patient flow. Funded by: Royal Hobart Hospital Research Foundation - Grant-Incubator ($9,961); University of Tasmania.
  • GRANT
    Creating new stochastic models to understand the evolution of gene families
    Australian Research Council1 Jul 2018 - 17 Sep 2023
    People funded by this grant:
    • Holland B,
    • O'Reilly M,
    • Liberles D,
    • Liu L
    Project Total: $317,329; Funded by: Australian Research Council - Grant-Discovery Projects ($317,329); University of Tasmania.
  • GRANT
    Research visits to University of Twente and University of Amsterdam
    Stochastics - Theoretical and Applied Research3 Feb 2016 - 9 Jul 2016
    People funded by this grant:
    • O'Reilly M
    Project Total: $3,105; Funds for the purpose of visiting other Universities to carry out a program of research. Visit to UT will focus on work on a tandem network problem in stochastic fluid networks. During a research visit by Scheinhardt to the University of Tasmania, first steps have been taken to show that the analysis of this problem is indeed possible. Visit to UA will focus on bed allocation problem in health care modelling. This work is in early stages of preparation. The aim of each visit is to prepare a publication in an international journal. Funded by: Stochastics - Theoretical and Applied Research - Grant-Visitor; University of Tasmania.
  • GRANT
    Modelling Healthcare Systems
    Australian Research Council1 Jan 2015 - 30 Jun 2021
    People funded by this grant:
    • Fackrell M,
    • O'Reilly M,
    • Taylor P,
    • Campbell D,
    • Stockman K
    Project Total: $410,000; An efficient healthcare system is essential for the well-being of any society. The aim of the project is to develop major advances in the mathematical modelling of healthcare systems, in order to improve efficiency, and ultimately, patient health. The first expected outcome is the development of mathematical models that constitute a high-level description of patient flow through hospitals and subacute care, so that demands for emergency and elective capacity are met given limited resources. The second is the development of a bed allocation algorithm that allocates patients to appropriate wards, so as to optimise the set of performance indicators of the system under appropriate constraints, given the current ward occupancy. Funded by: Australian Research Council - Grant-Linkage Projects Round 1; University of Melbourne; University of Tasmania.
  • GRANT
    Advanced matrix-analytic methods with applications
    Australian Research Council1 Jan 2011 - 30 Jun 2015
    People funded by this grant:
    • Taylor P,
    • Bean N,
    • Hautphenne S,
    • Fackrell M,
    • O'Reilly M
    Project Total: $600,000; Funded by: Australian Research Council - Grant-Discovery Projects; University of Melbourne; University of Tasmania.
  • GRANT
    The Use of Stochastic Fluid Models for the Evaluation of applications-driven Sample Path Integrals
    Australian Research Council1 Jan 2007 - 31 Dec 2009
    People funded by this grant:
    • Bean N,
    • O'Reilly M
    Project Total: $198,000; Funded by: Australian Research Council - Grant-Discovery Projects; University of Adelaide; University of Tasmania.