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Australian State/Territory : QLD
Research Topic : Mathematical model
Field of Research : Operations Research
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  • Funded Activity

    ARC Centres Of Excellence - Grant ID: CE140100049

    Funder
    Australian Research Council
    Funding Amount
    $20,000,000.00
    Summary
    ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this .... ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this Centre is to create innovative mathematical and statistical models that can uncover the knowledge concealed within the size and complexity of these big data sets, with a focus on using the models to deliver insight into problems vital to the Centre's Collaborative Domains: Healthy People, Sustainable Environments and Prosperous Societies.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP220102101

    Funder
    Australian Research Council
    Funding Amount
    $383,000.00
    Summary
    Large Markov decision processes and combinatorial optimisation. Markov decision processes continue to gain in popularity for modelling a wide range of applications ranging from analysis of supply chains and queueing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend to become numerically intractable as the size of the model grows fast. Recent works use machine learning techniques to overcome this crucial issue, but with no convergence guarantee. This project .... Large Markov decision processes and combinatorial optimisation. Markov decision processes continue to gain in popularity for modelling a wide range of applications ranging from analysis of supply chains and queueing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend to become numerically intractable as the size of the model grows fast. Recent works use machine learning techniques to overcome this crucial issue, but with no convergence guarantee. This project aims to provide theoretically sound frameworks for solving large Markov decision processes, and exploit them to solve important combinatorial optimisation problems. This timely project can promote Australia's position in the development of such novel frameworks for many scientific and industrial applications.
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    Active Funded Activity

    Discovery Early Career Researcher Award - Grant ID: DE200101791

    Funder
    Australian Research Council
    Funding Amount
    $427,082.00
    Summary
    Mathematically optimal R&D for coral reef conservation. This project aims to develop mathematical methodologies for optimising Research & Development (R&D) of technologies that will secure complex and uncertain ecosystems into the future. Current conventional management approaches will not prevent the degradation of threatened ecosystems like the Great Barrier Reef, so new technologies are needed. The biggest challenge in choosing these technologies is the long delay between development and depl .... Mathematically optimal R&D for coral reef conservation. This project aims to develop mathematical methodologies for optimising Research & Development (R&D) of technologies that will secure complex and uncertain ecosystems into the future. Current conventional management approaches will not prevent the degradation of threatened ecosystems like the Great Barrier Reef, so new technologies are needed. The biggest challenge in choosing these technologies is the long delay between development and deployment, in which time ecosystem function may collapse and complex, dynamic ecological and social systems will change. The mathematical methods and theory developed will inform a Great Barrier Reef case study, and will be ready for rapid application to other ecosystems as the urgent need arises.
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    Active Funded Activity

    Discovery Early Career Researcher Award - Grant ID: DE190101416

    Funder
    Australian Research Council
    Funding Amount
    $329,538.00
    Summary
    The value of model complexity for fisheries management. This project aims to quantify the benefits of using dynamic multi-species models for harvest decisions in the fishing industry. More than 99.8 per cent of fisheries are assessed using single-species models. Since fishers harvest multiple interacting species, not considering these interactions can lead to negative outcomes that reduce food security, eliminate human livelihoods, decrease economic production, and harm the environment. The proj .... The value of model complexity for fisheries management. This project aims to quantify the benefits of using dynamic multi-species models for harvest decisions in the fishing industry. More than 99.8 per cent of fisheries are assessed using single-species models. Since fishers harvest multiple interacting species, not considering these interactions can lead to negative outcomes that reduce food security, eliminate human livelihoods, decrease economic production, and harm the environment. The project is expected to provide guidance for fisheries scientists on when to use multi-species models for management, improved decision making capacity to reduce the risk of fishery collapse, a new method for dynamic model validation in the face of limited data, and enhanced collaboration between modellers and applied agencies. By reducing the risk of ecosystem collapse through better use of complex and simple models. The project will provide major benefits for the environment, humans, and the economy, at national and global scales.
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