## Profiles

# Małgorzata O'Reilly

# Małgorzata O'Reilly

## Associate Professor

Room 455 , Maths-Physics Building

Dr Małgorzata O'Reilly is an Associate Professor in Mathematics at the School of Natural Sciences. Her research interests are stochastic modelling, operations research, matrix-analytic methods, applied probability, health care systems modelling, satellite data analysis, and phylogenetics.

### Biography

Małgorzata received her MSc degree in Mathematics and Education from Wroclaw University in 1987. She completed her MSc thesis in the area of reliability of linear consecutive systems under the supervision of Prof Tomasz Rolski. In 2002 she received her PhD degree in applied probability from the University of Adelaide in 2002 under the supervision of the esteemed Prof Charles Pearce. In 2005, she completed her postdoc at the Teletraffic Research Centre at Adelaide University, working as a Research Associate on an ARC Discovery project, with Profs Peter Taylor and Nigel Bean, in the area of matrix-analytic methods. She has been a lecturer in probability, operations research, stochastic modelling and discrete mathematics at the University of Tasmania since 2005. Małgorzata is one of the key contributors to the theory of MAMs. She is the member of the Steering Committee of the MAMs Conferences and has chaired and organised the MAM10 conference Hobart in 2019. She has been an Editor of the MAM10 conference proceedings, and on the Editorial Board of the Special Issue devoted to MAM10 in Stochastic Models. She is leading a multidisciplinary team in modelling and optimisation of healthcare systems, in collaboration with the Tasmanian Department of Health.

### Career summary

#### Qualifications

Degree | Thesis Title | University | Country | Date of Award |
---|---|---|---|---|

PhD | Necessary conditions for the optimal design of linear consecutive k-out-of-n systems | University of Adelaide | Australia | 2002 |

MSc | A hypothesis by Derman, Lieberman and Ross | University of Wroclaw | Poland | 1987 |

#### Languages (other than English)

Małgorzata is fluent in Polish, her mother tongue. She also knows Greek at a basic level (she lived in Greece for a few years), and some Russian (Russian was a standard part of her education).

### Memberships

#### Professional practice

- Australian Mathematical Society
- INFORMS

### Teaching

Applied probability, Stochastic modelling, Markov chains, Queueing models, Matrix-analytic methods, Operations research, Optimization, Simulation, Discrete mathematics

#### Teaching expertise

Małgorzata has been developing and coordinating the operations research stream of units in mathematics, including operations research, probability models, stochastic modelling, and discrete mathematics.

#### Teaching responsibility

- KMA155 / KIT103 – Discrete Mathematics with Applications (co-taught unit)
- KMA255 - Operations Research 2
- KMA305 - Probability Models 3
- KMA355 - Operations Research 3

View more on AssocProf Malgorzata O'Reilly in WARP

### Expertise

- Applied probability
- Stochastic modelling
- Operations research
- Satellite data analysis
- Modelling of health care 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. 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), Peter Maree (Tasmanian Department of Health), 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.

### Fields of Research

- Stochastic analysis and modelling (490510)
- Operations research (490108)
- Photogrammetry and remote sensing (401304)
- Health care administration (420306)
- Other information and computing sciences (469999)
- Health informatics and information systems (420308)
- Distributed systems and algorithms (460605)
- Ocean engineering (401503)
- Air pollution modelling and control (401101)
- Biostatistics (490502)
- Mathematics and numeracy curriculum and pedagogy (390109)
- Pattern recognition (460308)
- Nuclear medicine (320215)
- Biological mathematics (490102)
- Algebra and number theory (490401)
- Public health (420699)
- Applied statistics (490501)
- Probability theory (490506)
- Molecular evolution (310510)
- Health services and systems (420399)
- Human-computer interaction (460806)

### Research Objectives

- Expanding knowledge in the mathematical sciences (280118)
- Mobile technologies and communications (220103)
- Assessment and management of terrestrial ecosystems (180601)
- Public health (excl. specific population health) (200499)
- Expanding knowledge in engineering (280110)
- Health system performance (incl. effectiveness of programs) (200206)
- Public sector productivity (150305)
- Clinical health (200199)
- Expanding knowledge in philosophy and religious studies (280119)
- Expanding knowledge in the environmental sciences (280111)
- Expanding knowledge in the health sciences (280112)
- Wave energy (170807)
- Computer systems (220404)
- Expanding knowledge in the biological sciences (280102)
- Evaluation of health and support services (200299)
- Inpatient hospital care (200304)
- Pedagogy (160302)
- Expanding knowledge in the earth sciences (280107)
- Application software packages (220401)

## Publications

During her Masters and PhD research, Małgorzata made contributions to the theory of optimal design and reliability of linear consecutive systems, a class of systems applicable throughout industry, including, for example, telecommunications, mining, space exploration and medicine. She has developed various necessary conditions for the optimal design of linear consecutive-k-out-of-n systems and novel results for variant optimal designs. Both her Masters and PhD theses were in the area of linear consecutive systems.

In more recent years, Małgorzata has been involved in research in matrix-analytic models, and made contributions to the development of the theory of stochastic fluid flow models, a class of Markov-driven stochastic models with applications in a wide range of real-life systems of engineering and/or environmental significance. Her contributions include:

- Development of theoretical expressions for various performance measures and their physical interpretations
- Construction of efficient algorithms to evaluate these performance measures
- Treatment of bounded and unbounded level-independent models
- Analysis of fluid models with an element of level-dependence
- First analysis of multi-dimensional fluid models
- Time-dependent cyclic fluid models

Her keen area of interest is stochastic modelling, a research area that focuses on developing probabilistic models for real-life systems having an element of uncertainty.

Total publications

50

### Highlighted publications

(8 outputs)Year | Type | Citation | Altmetrics |
---|---|---|---|

2017 | Journal Article | O'Reilly MM, Scheinhardt W, 'Stationary distributions for a class of Markov-modulated tandem fluid queues', Stochastic Models, 33, (4) pp. 524-550. ISSN 1532-6349 (2017) [Refereed Article] DOI: 10.1080/15326349.2017.1349615 [eCite] [Details] Citations: Scopus - 4Web of Science - 2 | |

2017 | Journal Article | Stark TL, Liberles DA, Holland BR, O'Reilly MM, 'Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalization', BMC Evolutionary Biology, 17, (38) pp. 1-16. ISSN 1471-2148 (2017) [Refereed Article] DOI: 10.1186/s12862-016-0848-0 [eCite] [Details] Citations: Scopus - 7Web of Science - 8 Co-authors: Stark TL; Holland BR | |

2016 | Journal Article | Margolius B, O'Reilly MM, 'The analysis of cyclic stochastic fluid flows with time-varying transition rates', Queueing Systems, 82, (1-2) pp. 43-73. ISSN 0257-0130 (2016) [Refereed Article] DOI: 10.1007/s11134-015-9456-8 [eCite] [Details] Citations: Scopus - 2Web of Science - 2 | |

2014 | Journal Article | Bean NG, O'Reilly MM, 'The stochastic fluid-fluid model: a stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself', Stochastic Processes and Their Applications, 124, (5) pp. 1741-1772. ISSN 0304-4149 (2014) [Refereed Article] DOI: 10.1016/j.spa.2013.12.006 [eCite] [Details] Citations: Scopus - 10Web of Science - 10 | |

2013 | Journal Article | Bean NG, O'Reilly MM, 'A stochastic two-dimensional fluid model', Stochastic Models, 29, (1) pp. 31-63. ISSN 1532-6349 (2013) [Refereed Article] DOI: 10.1080/15326349.2013.750532 [eCite] [Details] Citations: Scopus - 21Web of Science - 21 | |

2008 | Journal Article | Bean NG, O'Reilly MM, Taylor PG, 'Algorithms for the Laplace-Stieltjes transforms of first return times for Stochastic fluid flows', Methodology and Computing in Applied Probablility, 10, (3) pp. 381-408. ISSN 1387-5841 (2008) [Refereed Article] DOI: 10.1007/s11009-008-9077-3 [eCite] [Details] Citations: Scopus - 35Web of Science - 31 | |

2005 | Journal Article | Bean NG, O'Reilly MM, Taylor PG, 'Hitting probabilities and hitting times for stochastic fluid flows', Stochastic Processes and their Applications, 115, (9) pp. 1530-1556. ISSN 0304-4149 (2005) [Refereed Article] DOI: 10.1016/j.spa.2005.04.002 [eCite] [Details] Citations: Scopus - 58Web of Science - 53 | |

2005 | Journal Article | Bean NG, O'Reilly MM, Taylor PG, 'Algorithms for Return Probabilities for Stochastic Fluid Flows', Stochastic Models, 21, (1) pp. 149-184. ISSN 1532-6349 (2005) [Refereed Article] DOI: 10.1081/STM-200046511 [eCite] [Details] Citations: Scopus - 60Web of Science - 49 |

### Journal Article

(32 outputs)Year | Citation | Altmetrics |
---|---|---|

2022 | Bean N, Lewis A, Nguyen GT, O'Reilly MM, Sunkara V, 'A discontinuous Galerkin method for approximating the stationary distribution of stochastic fluid-fluid processes', Methodology and Computing in Applied Probability pp. 1-42. ISSN 1387-5841 (2022) [Refereed Article] | |

2022 | Bean NG, O'Reilly MM, Palmowski Z, 'Matrix-analytic methods for the analysis of stochastic fluid-fluid models', Stochastic Models, 38, (3) pp. 416-461. ISSN 1532-6349 (2022) [Refereed Article] | |

2022 | Diao J, O'Reilly MM, Holland B, 'A subfunctionalisation model of gene family evolution predicts balanced tree shapes', Molecular Phylogenetics and Evolution, 176 Article 107566. ISSN 1055-7903 (2022) [Refereed Article] DOI: 10.1016/j.ympev.2022.107566 [eCite] [Details] Co-authors: Diao J; Holland B | |

2021 | Battula SK, O'Reilly MM, Garg S, Montgomery J, 'A generic stochastic model for resource availability in fog computing environments', IEEE Transactions on Parallel and Distributed Systems, 32, (4) pp. 960-974. ISSN 1045-9219 (2021) [Refereed Article] DOI: 10.1109/TPDS.2020.3037247 [eCite] [Details] Citations: Scopus - 4Web of Science - 4 Co-authors: Battula SK; Garg S; Montgomery J | |

2021 | Bean NG, O'Reilly MM, Palmowski Z, 'Yaglom limit for stochastic fluid models', Advances in Applied Probability, 53, (3) pp. 649-686. ISSN 0001-8678 (2021) [Refereed Article] | |

2021 | Heydar M, O'Reilly MM, Trainer E, Fackrell M, Taylor PG, et al., 'A stochastic model for the patient-bed assignment problem with random arrivals and departures', Annals of Operations Research ISSN 0254-5330 (2021) [Refereed Article] DOI: 10.1007/s10479-021-03982-9 [eCite] [Details] Citations: Scopus - 1Web of Science - 1 Co-authors: Heydar M; Trainer E | |

2020 | Abera A, O'Reilly MM, Fackrell M, Holland BR, Heydar M, 'On the decision support model for the patient admission scheduling problem with random arrivals and departures: A solution approach', Stochastic Models, 36, (2) pp. 312-336. ISSN 1532-6349 (2020) [Refereed Article] DOI: 10.1080/15326349.2020.1742161 [eCite] [Details] Citations: Scopus - 2Web of Science - 2 Co-authors: Abera A; Holland BR; Heydar M | |

2020 | Arzaghi E, Abaei MM, Abbassi R, O'Reilly M, Garaniya V, et al., 'A Markovian approach to power generation capacity assessment of floating wave energy converters', Renewable Energy, 146 pp. 2736-2743. ISSN 0960-1481 (2020) [Refereed Article] DOI: 10.1016/j.renene.2019.08.099 [eCite] [Details] Citations: Scopus - 6Web of Science - 4 Co-authors: Garaniya V; Penesis I | |

2020 | Samuelson A, O'Reilly MM, Bean NG, 'Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretation', Stochastic Models pp. 1-30. ISSN 1532-6349 (2020) [Refereed Article] DOI: 10.1080/15326349.2020.1744451 [eCite] [Details] Co-authors: Samuelson A | |

2019 | Diao J, Stark TL, Liberles DA, O'Reilly MM, Holland BR, 'Level-dependent QBD models for the evolution of a family of gene duplicates', Stochastic Models pp. 1-28. ISSN 1532-6349 (2019) [Refereed Article] DOI: 10.1080/15326349.2019.1680296 [eCite] [Details] Citations: Scopus - 1Web of Science - 1 Co-authors: Diao J; Holland BR | |

2017 | O'Reilly MM, Scheinhardt W, 'Stationary distributions for a class of Markov-modulated tandem fluid queues', Stochastic Models, 33, (4) pp. 524-550. ISSN 1532-6349 (2017) [Refereed Article] DOI: 10.1080/15326349.2017.1349615 [eCite] [Details] Citations: Scopus - 4Web of Science - 2 | |

2017 | Samuelson A, Haigh A, O'Reilly MM, Bean NG, 'Stochastic model for maintenance in continuously deteriorating systems', European Journal of Operational Research, 259, (3) pp. 1169-1179. ISSN 0377-2217 (2017) [Refereed Article] DOI: 10.1016/j.ejor.2016.11.032 [eCite] [Details] Citations: Scopus - 9Web of Science - 8 Co-authors: Samuelson A | |

2017 | Samuelson A, O'Reilly MM, Bean NG, 'On the generalized reward generator for stochastic fluid models: a new equation for ', Stochastic Models, 33, (4) pp. 495-523. ISSN 1532-6349 (2017) [Refereed Article]ΨDOI: 10.1080/15326349.2017.1347883 [eCite] [Details] Citations: Scopus - 3Web of Science - 2 Co-authors: Samuelson A | |

2017 | Stark TL, Liberles DA, Holland BR, O'Reilly MM, 'Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalization', BMC Evolutionary Biology, 17, (38) pp. 1-16. ISSN 1471-2148 (2017) [Refereed Article] DOI: 10.1186/s12862-016-0848-0 [eCite] [Details] Citations: Scopus - 7Web of Science - 8 Co-authors: Stark TL; Holland BR | |

2016 | Anees A, Aryal J, O'Reilly M, Gale TJ, 'A relative density ratio-based framework for detection of land cover changes in MODIS NDVI time series', IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 9, (8) pp. 3359-3371. ISSN 1939-1404 (2016) [Refereed Article] DOI: 10.1109/JSTARS.2015.2428306 [eCite] [Details] Citations: Scopus - 20Web of Science - 20 Co-authors: Anees A; Aryal J; Gale TJ | |

2016 | Anees A, Aryal J, O'Reilly MM, Gale TJ, Wardlaw T, 'A robust multi-kernel change detection framework for detecting leaf beetle defoliation using Landsat 7 ETM+ data', ISPRS Journal of Photogrammetry and Remote Sensing, 122 pp. 167-178. ISSN 0924-2716 (2016) [Refereed Article] DOI: 10.1016/j.isprsjprs.2016.10.011 [eCite] [Details] Citations: Scopus - 14Web of Science - 14 Co-authors: Anees A; Aryal J; Gale TJ; Wardlaw T | |

2016 | Margolius B, O'Reilly MM, 'The analysis of cyclic stochastic fluid flows with time-varying transition rates', Queueing Systems, 82, (1-2) pp. 43-73. ISSN 0257-0130 (2016) [Refereed Article] DOI: 10.1007/s11134-015-9456-8 [eCite] [Details] Citations: Scopus - 2Web of Science - 2 | |

2014 | Bean NG, O'Reilly MM, 'The stochastic fluid-fluid model: a stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself', Stochastic Processes and Their Applications, 124, (5) pp. 1741-1772. ISSN 0304-4149 (2014) [Refereed Article] DOI: 10.1016/j.spa.2013.12.006 [eCite] [Details] Citations: Scopus - 10Web of Science - 10 | |

2014 | O'Reilly MM, 'Multi-stage stochastic fluid models for congestion control', European Journal of Operational Research, 238, (2) pp. 514-526. ISSN 0377-2217 (2014) [Refereed Article] DOI: 10.1016/j.ejor.2014.04.010 [eCite] [Details] Citations: Scopus - 4Web of Science - 4 | |

2014 | Teufel AI, Zhao J, O'Reilly M, Liu L, Liberles DA, 'On mechanistic modeling of gene content evolution: birth-death models and mechanisms of gene birth and gene retention', Computation, 2, (3) pp. 112-130. ISSN 2079-3197 (2014) [Refereed Article] | |

2013 | Bean NG, O'Reilly MM, 'A stochastic two-dimensional fluid model', Stochastic Models, 29, (1) pp. 31-63. ISSN 1532-6349 (2013) [Refereed Article] DOI: 10.1080/15326349.2013.750532 [eCite] [Details] Citations: Scopus - 21Web of Science - 21 | |

2013 | Bean NG, O'Reilly MM, 'Spatially-coherent uniformization of a stochastic fluid model to a Quasi-Birth-and-Death process', Performance Evaluation, 70, (9) pp. 578-592. ISSN 0166-5316 (2013) [Refereed Article] DOI: 10.1016/j.peva.2013.05.006 [eCite] [Details] Citations: Scopus - 5Web of Science - 5 | |

2013 | O'Reilly MM, Palmowski Z, 'Loss rates for stochastic fluid models', Performance Evaluation, 70, (9) pp. 593-606. ISSN 0166-5316 (2013) [Refereed Article] DOI: 10.1016/j.peva.2013.05.005 [eCite] [Details] Citations: Scopus - 7Web of Science - 6 | |

2012 | Bean N, O'Reilly MM, 'A Stochastic Fluid Model driven by an uncountable-state process, which is a Stochastic Fluid Model itself: The Stochastic Fluid-Fluid Model', SIGMETRICS Performance Evaluation Review, 39, (4) pp. 32. ISSN 0163-5999 (2012) [Contribution to Refereed Journal] | |

2012 | Bean NG, O'Reilly MM, Ren Yong, 'Second-order Markov reward models driven by QBD processes', Performance Evaluation, 69, (9) pp. 440-455. ISSN 0166-5316 (2012) [Refereed Article] DOI: 10.1016/j.peva.2012.05.002 [eCite] [Details] Citations: Scopus - 3Web of Science - 1 Co-authors: Ren Yong | |

2012 | O'Reilly MM, Bean NG, 'Stochastic 2-Dimensional Fluid Model', SIGMETRICS Performance Evaluation Review, 39, (4) pp. 45. ISSN 0163-5999 (2012) [Contribution to Refereed Journal] | |

2010 | Bean NG, O'Reilly MM, Sargison J, 'Stochastic fluid flow model of the operation and maintenance of power generation systems', IEEE Transactions on Power Systems, 25, (3) pp. 1361-1374. ISSN 0885-8950 (2010) [Refereed Article] DOI: 10.1109/TPWRS.2010.2042308 [eCite] [Details] Citations: Scopus - 21Web of Science - 19 Co-authors: Sargison J | |

2009 | Bean NG, O'Reilly MM, Taylor PG, 'Hitting probabilities and hitting times for stochastic fluid flows: the Bounded Model', Probability in the Engineering and Informational Sciences, 23, (1) pp. 121-147. ISSN 0269-9648 (2009) [Refereed Article] DOI: 10.1017/S0269964809000102 [eCite] [Details] Citations: Scopus - 24Web of Science - 21 | |

2008 | Bean NG, O'Reilly MM, 'Performance measures of a multi-layer Markovian fluid model', Annals of Operations Research, 160, (1) pp. 99-120. ISSN 0254-5330 (2008) [Refereed Article] DOI: 10.1007/s10479-007-0299-5 [eCite] [Details] Citations: Scopus - 30Web of Science - 26 | |

2008 | Bean NG, O'Reilly MM, Taylor PG, 'Algorithms for the Laplace-Stieltjes transforms of first return times for Stochastic fluid flows', Methodology and Computing in Applied Probablility, 10, (3) pp. 381-408. ISSN 1387-5841 (2008) [Refereed Article] DOI: 10.1007/s11009-008-9077-3 [eCite] [Details] Citations: Scopus - 35Web of Science - 31 | |

2005 | Bean NG, O'Reilly MM, Taylor PG, 'Hitting probabilities and hitting times for stochastic fluid flows', Stochastic Processes and their Applications, 115, (9) pp. 1530-1556. ISSN 0304-4149 (2005) [Refereed Article] DOI: 10.1016/j.spa.2005.04.002 [eCite] [Details] Citations: Scopus - 58Web of Science - 53 | |

2005 | Bean NG, O'Reilly MM, Taylor PG, 'Algorithms for Return Probabilities for Stochastic Fluid Flows', Stochastic Models, 21, (1) pp. 149-184. ISSN 1532-6349 (2005) [Refereed Article] DOI: 10.1081/STM-200046511 [eCite] [Details] Citations: Scopus - 60Web of Science - 49 |

### Chapter in Book

(3 outputs)Year | Citation | Altmetrics |
---|---|---|

2009 | O'Reilly MM, 'Optimal design of linear consecutive-k-out-of-n systems', Optimization and Its Applications, Springer, C Pearce and E Hunt (ed), New York, pp. 307-326. ISBN 978-0-387-98095-9 (2009) [Research Book Chapter] | |

2009 | O'Reilly MM, 'The (k+1)-th component of linear consecutive-k-out-of-n systems', Optimization and Its Applications, Springer, C Pearce and E Hunt (ed), New York, pp. 327-342. ISBN 978-0-387-98095-9 (2009) [Research Book Chapter] | |

2003 | O'Reilly MM, 'Variant optimal designs of linear consecutive-k-out-of-n systems', Industrial Mathematics and Statistics, Narosa Publishing House, Misra JC (ed), New Delhi, pp. 486-502. ISBN 8173194882 (2003) [Research Book Chapter] |

### Conference Publication

(14 outputs)Year | Citation | Altmetrics |
---|---|---|

2022 | Abera AK, O'Reilly MM, Turner R, 'Stochastic modelling of the admissions of surgery patients in a random environment', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-5. (2022) [Refereed Conference Paper] Co-authors: Abera AK; Turner R | |

2022 | Aksamit A, O'Reilly MM, Palmowski Z, 'Sensitivity analysis of Quasi-Birth-and-Death processes', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-5. (2022) [Refereed Conference Paper] Co-authors: Aksamit A; Palmowski Z | |

2022 | Boelema HM, Dams DJJ, O'Reilly MM, Scheinhardt WRW, Taylor PG, 'A stochastic fluid model approach to the stationary distribution of the maximum priority process', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-5. (2022) [Refereed Conference Paper] | |

2022 | Diao J, O'Reilly MM, Holland BR, 'Modelling gene content across a phylogeny to determine when genes become associated', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-4. (2022) [Refereed Conference Paper] Co-authors: Diao J; Holland BR | |

2022 | Margolius B, O'Reilly MM, 'Asymptotic periodic analysis of cyclic stochastic fluid flows with time-varying transition rates', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-4. (2022) [Refereed Conference Paper] | |

2022 | O'Reilly MM, Palmowski Z, Aksamit A, 'Random walk on a quadrant: mapping to a one-dimensional level-dependent Quasi-Birth-and-Death process (LD-QBD)', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-5. (2022) [Refereed Conference Paper] | |

2022 | Soewongsono AC, Holland BR, O'Reilly MM, 'Stochastic niche-based models for the evolution of species', The Eleventh International Conference on Matrix-Analytic Methods in Stochastic Models (MAM11) Proceedings, 29 June - 1 July 2022, Seoul, Republic of Korea, pp. 1-4. (2022) [Refereed Conference Paper] Co-authors: Soewongsono AC; Holland BR | |

2019 | Abera A, O'Reilly MM, Holland BR, Fackrell M, Heydar M, 'Decision support model for the patient admission scheduling problem with random arrivals and departures', Proceedings of the 10th International Conference on Matrix-Analytic Methods in Stochastic Models, 13-15 February 2019, Hobart, Australia, pp. 10-14. (2019) [Refereed Conference Paper] Co-authors: Abera A; Holland BR; Heydar M | |

2019 | Heydar M, O'Reilly MM, 'Markovian decision-support model for patient-to-ward assignment problem in a random environment', Proceedings of the 10th International Conference on Matrix-Analytic Methods in Stochastic Models, 13-15 February 2019, Hobart, Australia, pp. 33-34. ISBN 978-0-646-99707-0 (2019) [Conference Extract] Co-authors: Heydar M | |

2019 | Samuelson A, O'Reilly MM, Bean NG, 'Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretation', Proceedings of the 10th International Conference on Matrix-Analytic Methods in Stochastic Models, 13-15 February 2019, Hobart, Australia, pp. 53-57. (2019) [Refereed Conference Paper] Co-authors: Samuelson A | |

2016 | Bean N, Nguyen GT, O'Reilly M, Sunkara V, 'A numerical framework for computing the limiting distribution of a stochastic fluid-fluid process', Proceedings of the Ninth International Conference on Matrix-Analytic Methods in Stochastic Models, 28-30 June 2016, Budapest, Hungary, pp. 21-22. ISBN 9781450321389 (2016) [Conference Extract] | |

2016 | O'Reilly MM, Scheinhardt W, 'Analysis of tandem fluid queues', Proceedings of the 9th International Conference on Matrix-Analytic Methods in Stochastic Models, 28-30 June 2016, Budapest, Hungary, pp. 85-92. ISBN 9781450321389 (2016) [Refereed Conference Paper] | |

2016 | Samuelson A, O'Reilly MM, Bean NB, 'Generalised reward generator for stochastic fluid models', Proceedings of the 9th International Conference on Matrix-Analytic Methods in Stochastic Models, 28-30 June 2016, Budapest, Hungary, pp. 27-34. ISBN 9781450321389 (2016) [Refereed Conference Paper] Co-authors: Samuelson A | |

2013 | Anees A, Olivier JC, O'Reilly MM, Aryal J, 'Detecting beetle infestations in pine forest using MODIS NDVI time-series data', IEEE International Geoscience and Remote Sensing Symposium Proceedings (IGARSS 2013), 21-26 July 2013, Melbourne, Australia, pp. 3329-3332. ISBN 978-1-4799-1114-1 (2013) [Refereed Conference Paper] DOI: 10.1109/IGARSS.2013.6723540 [eCite] [Details] Co-authors: Anees A; Olivier JC; Aryal J |

### Other Public Output

(1 outputs)Year | Citation | Altmetrics |
---|---|---|

2014 | O'Reilly M, 'GP co-payment would increase emergency department wait times', The Conversation, https://theconversation.com, 11 July (2014) [Magazine Article] |

## Grants & Funding

### Funding Summary

Number of grants

6

Total funding

### Projects

- Description
- 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.
- Funding
- Royal Hobart Hospital Research Foundation ($9,961)
- Scheme
- Grant-Incubator
- Administered By
- University of Tasmania
- Research Team
- Van Dam PJ; Turner RC; O'Reilly MM
- Year
- 2022

- Funding
- Australian Research Council ($317,329)
- Scheme
- Grant-Discovery Projects
- Administered By
- University of Tasmania
- Research Team
- Holland BR; O'Reilly MM; Liberles D; Liu L
- Period
- 2018 - 2020
- Grant Reference
- DP180100352

- Description
- 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.
- Funding
- Stochastics - Theoretical and Applied Research ($3,105)
- Scheme
- Grant-Visitor
- Administered By
- University of Tasmania
- Research Team
- O'Reilly MM
- Year
- 2016

- Description
- 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.
- Funding
- Australian Research Council ($410,000)
- Scheme
- Grant-Linkage Projects Round 1
- Administered By
- University of Melbourne
- Research Team
- Fackrell M; O'Reilly MM; Taylor PG; Campbell D; Stockman K; Foster S
- Period
- 2014 - 2017
- Grant Reference
- LP140100152

- Funding
- Australian Research Council ($600,000)
- Scheme
- Grant-Discovery Projects
- Administered By
- University of Melbourne
- Research Team
- Taylor PG; Bean NG; Hautphenne SM; Fackrell MW; O'Reilly MM
- Period
- 2011 - 2013
- Grant Reference
- DP1111663

- Funding
- Australian Research Council ($198,000)
- Scheme
- Grant-Discovery Projects
- Administered By
- University of Adelaide
- Research Team
- Bean NG; O'Reilly MM
- Period
- 2007 - 2009
- Grant Reference
- DP0770388

## Research Supervision

Students interested in post-graduate study under Małgorzata's supervision, are encouraged to contact her to discuss possibilities. Please refer to the examples of potential topics below:

Current

3

Completed

4

### Current

Degree | Title | Commenced |
---|---|---|

PhD | Stochastic Modelling of Patient Flow in Hospitals | 2018 |

PhD | Mechanistic Markov Models for the Evolution of Gene Families | 2018 |

PhD | Modelling the Evolution of Gene Families | 2019 |

### Completed

Degree | Title | Completed |
---|---|---|

PhD | Stochastic Fluid Models and their Applications Candidate: Aviva Samuelson | 2020 |

PhD | Markov Models for the Evolution of Duplicate Genes, and Microsatellites Candidate: Tristan Lee Stark | 2018 |

PhD | Stats, Drugs and Rock and Roll: Statistical applications to temporally autocorrelated substance use data Candidate: Melissa Ann Humphries | 2017 |

PhD | Statistical Algorithms for Land/Forest Cover Change Detection Using Remote Sensing Data Candidate: Asim Anees | 2016 |