Stochastic Modelling and Operations Research
Stochastic Modelling and Operations Research involves using mathematics to understand and make decisions in systems that involve randomness and/or uncertainty.
This network shows a snapshot of conversations on social media prior to a major public event. Nodes represent individuals and links represent mentions on Twitter. Studying the network topology enables us to identify different classes of users (organisers versus advertisers), and through investigating the timing and content of messages we can make inferences about information flow over the social network.
Based within the School of Mathematical Sciences, our Stochastic Modelling and Operations Research group fuses theory, computation and data to address exciting and important problems throughout the sciences and industry.
We have particular strengths in:
- modelling stochastic systems, particularly using computational techniques
- calibrating stochastic models
- modelling networks and their processes, with applications in energy and the Internet
- modelling in ecology, epidemiology and evolution
- Bayesian computational statistics
- data science.
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Research Impact
The Stochastic Modelling and Operations Research group’s advances are of direct relevance and benefit wherever uncertainty and/or randomness exists. This includes, for example, industries and areas such as:
- the Internet
- cyber security
- defence
- power grids
- biosecurity
- conservation science
- health care systems
- infectious disease epidemiology.
The Stochastic Modelling and Operations Research group has received significant recognition for its valuable contributions to industry and society, including prestigious medals from the Australian Academy of Science and Australian Mathematical Society.
Some recent real-world-impact highlights include:
- providing new epidemiological insight into influenza and seasonal epidemics through work with the Australian Sentinel Practices Research Network
- developing algorithms to estimate pandemic strains’ transmissibility and severity
- advising the Australian Government’s Office of Health Protection on pandemics, including the Australian Health Principal Protection Committee (AHPPC) on the COVID-19 pandemic
- developing tools for predicting events using open social media data, which are now being built into commercial forecasting tools for government use.
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Our researchers
We have expertise across a wide range of areas. Many of our researchers are available to assist with research project supervision for Master of Philosophy and Doctor of Philosophy students.
Research team Expertise Dr Indu Bala Optimization, artificial intelligence, natural language processing, and data mining techniques Dr Andrew Black Stochastic modelling in ecology; Epidemiology and evolution; Bayesian computational statistics; Computational probability Dr Anna Kalenkova Process mining, event data analysis, visual analytics, and information theory Professor Lewis Mitchell Computational social science; Natural language processing; Ensemble data assimilation and prediction Dr Giang Nguyen Matrix-analytic methods; Brownian motion; Modelling of electricity pricing and power grids Professor Joshua Ross Stochastic modelling in ecology, epidemiology and evolution; Bayesian computational statistics; Computational probability Professor Matthew Roughan Network modelling; Internet measurement and management; Traffic analysis To enquire about consulting or working with us on a research project, please contact our lead researcher within the School of Mathematical Sciences:
Associate Professor Lewis Mitchell
Senior Lecturer, School of Mathematical Sciences.
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Collaborations
We collaborate with various industry and government organisations, including:
- ARC Centre of Excellence for Australian Biodiversity and Heritage
- ARC Centre of Excellence for Mathematical and Statistical Frontiers
- Australian Sentinel Practices Research Network
- Centre for Invasive Species Solutions
- Defence Science and Technology (DST) Group
- FluTracking
- NHMRC Centre of Research Excellence for Policy Relevant Infectious Disease Simulation and Mathematical Modelling
- US Defense Threat Reduction Agency
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Consulting Services
Our Stochastic Modelling and Operations Research group is available to advise or lead public- and private-sector projects to assist understanding and decision-making in any large systems that involve randomness and/or uncertainty.
Higher Degrees by Research
Whether you intend to work in research or industry, a higher degree by research can give you a competitive edge throughout your career. Find out more about studying a Master of Philosophy or Doctor of Philosophy.