Fields of Research

Stochastic analysis and modelling
Operations research
Photogrammetry and remote sensing
Health care administration
Other information and computing sciences
Health informatics and information systems
Ocean engineering
Biostatistics
Air pollution modelling and control
Distributed systems and algorithms
Mathematics and numeracy curriculum and pedagogy
Probability theory
Applied statistics
Nuclear medicine
Pattern recognition
Algebra and number theory
Public health
Biological mathematics
Human-computer interaction
Health services and systems
Molecular evolution

Research Objectives

Expanding knowledge in the mathematical sciences
Mobile technologies and communications
Assessment and management of terrestrial ecosystems
Public health (excl. specific population health)
Expanding knowledge in engineering
Public sector productivity
Expanding knowledge in the health sciences
Clinical health
Computer systems
Health system performance (incl. effectiveness of programs)
Expanding knowledge in the environmental sciences
Expanding knowledge in philosophy and religious studies
Wave energy
Evaluation of health and support services
Expanding knowledge in the biological sciences
Inpatient hospital care
Pedagogy
Expanding knowledge in the earth sciences
Application software packages

Career Best Publications

A stochastic two-dimensional fluid model; Stochastic Models
Algorithms for Return Probabilities for Stochastic Fluid Flows; Stochastic Models
Algorithms for the Laplace-Stieltjes transforms of first return times for Stochastic fluid flows; Methodology and Computing in Applied Probablility
Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalization; BMC Evolutionary Biology
Hitting probabilities and hitting times for stochastic fluid flows; Stochastic Processes and their Applications
Stationary distributions for a class of Markov-modulated tandem fluid queues; Stochastic Models
The analysis of cyclic stochastic fluid flows with time-varying transition rates; Queueing Systems
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

Research Publications

A discontinuous Galerkin method for approximating the stationary distribution of stochastic fluid-fluid processes; Methodology and Computing in Applied Probability
A generic stochastic model for resource availability in fog computing environments; IEEE Transactions on Parallel and Distributed Systems
A Markovian approach to power generation capacity assessment of floating wave energy converters; Renewable Energy
A numerical framework for computing the limiting distribution of a stochastic fluid-fluid process; Ninth International Conference on Matrix-Analytic Methods in Stochastic Models
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
A robust multi-kernel change detection framework for detecting leaf beetle defoliation using Landsat 7 ETM+ data; ISPRS Journal of Photogrammetry and Remote Sensing
A stochastic fluid model approach to the stationary distribution of the maximum priority process; MAM11 2022
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
A stochastic model for the patient-bed assignment problem with random arrivals and departures; Annals of Operations Research
A stochastic two-dimensional fluid model; Stochastic Models
A subfunctionalisation model of gene family evolution predicts balanced tree shapes; Molecular Phylogenetics and Evolution
Algorithms for Return Probabilities for Stochastic Fluid Flows; Stochastic Models
Algorithms for the Laplace-Stieltjes transforms of first return times for Stochastic fluid flows; Methodology and Computing in Applied Probablility
Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalization; BMC Evolutionary Biology
Analysis of tandem fluid queues; 9th International Conference on Matrix-Analytic Methods in Stochastic Models
Asymptotic periodic analysis of cyclic stochastic fluid flows with time-varying transition rates; MAM11 2022
Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretation; Stochastic Models
Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretation; 10th International Conference on Matrix-Analytic Methods in Stochastic Models
Decision support model for the patient admission scheduling problem with random arrivals and departures; 10th International Conference on Matrix-Analytic Methods in Stochastic Models
Detecting beetle infestations in pine forest using MODIS NDVI time-series data; IEEE International Geoscience and Remote Sensing Symposium (IGARSS 2013)
Generalised reward generator for stochastic fluid models; 9th International Conference on Matrix-Analytic Methods in Stochastic Models
GP co-payment would increase emergency department wait times
Hitting probabilities and hitting times for stochastic fluid flows; Stochastic Processes and their Applications
Hitting probabilities and hitting times for stochastic fluid flows: the Bounded Model; Probability in the Engineering and Informational Sciences
Level-dependent QBD models for the evolution of a family of gene duplicates; Stochastic Models
Loss rates for stochastic fluid models; Performance Evaluation
Markovian decision-support model for patient-to-ward assignment problem in a random environment; 10th International Conference on Matrix-Analytic Methods in Stochastic Models
Matrix-analytic methods for the analysis of stochastic fluid-fluid models; Stochastic Models
Modelling gene content across a phylogeny to determine when genes become associated; MAM11 2022
Multi-stage stochastic fluid models for congestion control; European Journal of Operational Research
On mechanistic modeling of gene content evolution: birth-death models and mechanisms of gene birth and gene retention; Computation
On the decision support model for the patient admission scheduling problem with random arrivals and departures: A solution approach; Stochastic Models
On the generalized reward generator for stochastic fluid models: a new equation for Ψ; Stochastic Models
Optimal design of linear consecutive-k-out-of-n systems; Optimization and Its Applications
Performance measures of a multi-layer Markovian fluid model; Annals of Operations Research
Random walk on a quadrant: mapping to a one-dimensional level-dependent Quasi-Birth-and-Death process (LD-QBD); MAM11 2022
Second-order Markov reward models driven by QBD processes; Performance Evaluation
Sensitivity analysis of Quasi-Birth-and-Death processes; MAM11 2022
Spatially-coherent uniformization of a stochastic fluid model to a Quasi-Birth-and-Death process; Performance Evaluation
Stationary distributions for a class of Markov-modulated tandem fluid queues; Stochastic Models
Stochastic 2-Dimensional Fluid Model; SIGMETRICS Performance Evaluation Review
Stochastic fluid flow model of the operation and maintenance of power generation systems; IEEE Transactions on Power Systems
Stochastic model for maintenance in continuously deteriorating systems; European Journal of Operational Research
Stochastic modelling of the admissions of surgery patients in a random environment; MAM11 2022
Stochastic niche-based models for the evolution of species; MAM11 2022
The (k+1)-th component of linear consecutive-k-out-of-n systems; Optimization and Its Applications
The analysis of cyclic stochastic fluid flows with time-varying transition rates; Queueing Systems
The shape of phylogenies under phase-type distributed times to speciation and extinction; Bulletin of Mathematical Biology
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
Variant optimal designs of linear consecutive-k-out-of-n systems; Industrial Mathematics and Statistics
Yaglom limit for stochastic fluid models; Advances in Applied Probability

Research Projects

Advanced matrix-analytic methods with applications; Australian Research Council (ARC)
An Investigation into in the Optimisation of Patient Flow; Royal Hobart Hospital Research Foundation (RHHRF)
Creating new stochastic models to understand the evolution of gene families; Australian Research Council (ARC)
Modelling Healthcare Systems; Australian Research Council (ARC)
Research visits to University of Twente and University of Amsterdam; Stochastics - Theoretical and Applied Research (STAR)
The Use of Stochastic Fluid Models for the Evaluation of applications-driven Sample Path Integrals; Australian Research Council (ARC)

Research Candidate Supervision

Cost models for intermittent and off-design operation and deferred maintenance of hydro-power generators.
Investigation and Application of Statistical Techniques when Using Wastewater Analysis to Monitor Illicit Drug Use
Mathematical Models for Microsatellite Evolution
Stochastic Modeling for Satellite Data Analysis