Stationarity and regularity in variational analysis with applications to optimization. This project will significantly develop the theoretical basis of variational analysis and optimization. Improving the understanding of regularity and stationarity issues in optimization theory will lead to major national benefits in increasing efficiencies and reducing costs in many fields of human endeavour on a national and international level.
Mechanism design for next generation random access wireless protocols. Australia is well placed to take the lead in replacing carbon-intensive travel by teleconferencing, because of its isolation and geographic dispersion. Because these large distances introduce inevitable delays, it is important that the network itself add as little delay as possible for such real-time services. Our novel and practical resource allocation scheme will enable Australians (including Australian industries and rural ....Mechanism design for next generation random access wireless protocols. Australia is well placed to take the lead in replacing carbon-intensive travel by teleconferencing, because of its isolation and geographic dispersion. Because these large distances introduce inevitable delays, it is important that the network itself add as little delay as possible for such real-time services. Our novel and practical resource allocation scheme will enable Australians (including Australian industries and rural communities) to receive better service at lower cost. This project will put Australia on the international stage as a leading contributor to wireless Internet technology. We will provide training for PhD students and postdoctoral fellows in this important area.Read moreRead less
Rapid optimisation in underground mining network design. This project represents a major advance in the problem of optimising the infrastructure of underground mines and providing powerful planning tools for management. The software tools we are developing will prove important to the mining industry because of their accuracy, flexibility and generality. Not only can they be used for benchmarking in the design of specific mines, but they also provide a reliable method for testing the cost-benefi ....Rapid optimisation in underground mining network design. This project represents a major advance in the problem of optimising the infrastructure of underground mines and providing powerful planning tools for management. The software tools we are developing will prove important to the mining industry because of their accuracy, flexibility and generality. Not only can they be used for benchmarking in the design of specific mines, but they also provide a reliable method for testing the cost-benefit of emerging technologies. This is an important project for ensuring that Australia's mining industry remains efficient and internationally competitive. Given our economic dependence on mineral resources, it will also benefit Australia as a whole.Read moreRead less
Integrating dynamic and optimization models for efficient pipeline system operations in an evolving water and energy market. Developing an integrated dynamical and optimisation model for a piped water distribution system will advance Australia's capacity to deploy the most recent optimisation approaches to achieve the high level of efficiency required in the delivery of water to dryland regions. The outcomes of this project will be readily transferable to other regions and indeed other water d ....Integrating dynamic and optimization models for efficient pipeline system operations in an evolving water and energy market. Developing an integrated dynamical and optimisation model for a piped water distribution system will advance Australia's capacity to deploy the most recent optimisation approaches to achieve the high level of efficiency required in the delivery of water to dryland regions. The outcomes of this project will be readily transferable to other regions and indeed other water distribution systems. This will provide capability in securing Australia's water supplies and delivery systems. There may also be associated benefits to other pipeline operators in the oil and gas industries.Read moreRead less
Decision tools for underground mine development. The aim of this project is to develop innovative new strategic tools to assist senior mine management in planning underground mine operations. It will be based on modelling underground mine layouts using the theory of abstract mathematical networks. For many years, there have been well-developed methods of modelling and optimising the operation of open-cut mines. The design of the infrastructure of underground mines has a similar potential for opt ....Decision tools for underground mine development. The aim of this project is to develop innovative new strategic tools to assist senior mine management in planning underground mine operations. It will be based on modelling underground mine layouts using the theory of abstract mathematical networks. For many years, there have been well-developed methods of modelling and optimising the operation of open-cut mines. The design of the infrastructure of underground mines has a similar potential for optimisation and strategic modelling. This design optimisation will lead to huge savings in the costs of underground mines. Similar methods will be used to plan drilling programs, which are major cost items.Read moreRead less
Large scale nonsmooth, nonconvex optimisation. This project aims to develop, analyse, test and apply (sub) gradient-based methods for solving large scale nonsmooth, nonconvex optimisation problems. Large scale problems with complex nonconvex objective and/or constraint functions are among the most difficult in optimisation. This project will generate new knowledge in numerical optimisation and machine learning. The use of structures and sparsity of large scale problems will lead to the developme ....Large scale nonsmooth, nonconvex optimisation. This project aims to develop, analyse, test and apply (sub) gradient-based methods for solving large scale nonsmooth, nonconvex optimisation problems. Large scale problems with complex nonconvex objective and/or constraint functions are among the most difficult in optimisation. This project will generate new knowledge in numerical optimisation and machine learning. The use of structures and sparsity of large scale problems will lead to the development of better models, and more accurate and robust methods. The expected outcomes of the project are ready-to-implement and apply numerical methods for solving large-scale, nonsmooth, nonconvex optimisation problems, as well as problems in machine learning and regression analysis.Read moreRead less
Exploring and exploiting structures in nonsmooth and global optimization problems. Global and non-smooth optimisation problems are among the most challenging in optimisation. Such problems arise in optimisation of many systems including financial, business and engineering systems. Achieving optimal performance of these systems will provide considerable commercial and environmental benefits. This project aims to develop new approaches to global and non-smooth optimisation using their special stru ....Exploring and exploiting structures in nonsmooth and global optimization problems. Global and non-smooth optimisation problems are among the most challenging in optimisation. Such problems arise in optimisation of many systems including financial, business and engineering systems. Achieving optimal performance of these systems will provide considerable commercial and environmental benefits. This project aims to develop new approaches to global and non-smooth optimisation using their special structures. The outcomes of this project will be new approaches to practical problems and ready-to-implement algorithms. It will major benefit to Australian society whilst also facilitating excellent international collaboration.Read moreRead less
Optimal Deployment of Wireless Sensor Networks. Wireless sensor networks consist of coordinated sensing devices that offer us new ways to understand and interact with the physical world. Australia is a leading player in developing such networks. For a given technology, the key to both optimising the quality of area monitoring and minimising the cost of a sensor network lies in deciding how best to deploy the sensors. We aim to develop powerful new methods to get the best performance from a plann ....Optimal Deployment of Wireless Sensor Networks. Wireless sensor networks consist of coordinated sensing devices that offer us new ways to understand and interact with the physical world. Australia is a leading player in developing such networks. For a given technology, the key to both optimising the quality of area monitoring and minimising the cost of a sensor network lies in deciding how best to deploy the sensors. We aim to develop powerful new methods to get the best performance from a planned sensor network. This will enhance Australia's research role in this area and directly benefit applications such as national security and environmental monitoring.
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Maximisation of value in underground mine access design. This project represents a major advance in the problem of optimising the mine value associated with the access infrastructure of underground mines and providing powerful planning tools for management. The usefulness to the mining industry of the methods and algorithms the project is pioneering lies in their accuracy, flexibility and generality. Not only can they be used for benchmarking value in the design of specific mines, but they can ....Maximisation of value in underground mine access design. This project represents a major advance in the problem of optimising the mine value associated with the access infrastructure of underground mines and providing powerful planning tools for management. The usefulness to the mining industry of the methods and algorithms the project is pioneering lies in their accuracy, flexibility and generality. Not only can they be used for benchmarking value in the design of specific mines, but they can also determine the profitability or viability of mines under the use of new technologies. This is an important project for ensuring that Australia's mining industry remains efficient and internationally competitive. Given Australia’s economic dependence on mineral resources, it will also benefit the country as a whole.Read moreRead less
Using Mathematics to Maximize the Value of Open-Pit Mines. Mineral resources are one of Australia's greatest assets. Their effective management will bring substantial long-term benefits to the Australian economy. Planning the exploitation of a mineral resource is a highly complex task. Current methods are approximate, and do not fully consider two critical issues: (1) ore mined at different times must be blended to achieve saleable product and (2) resource markets may not evolve as predicted ....Using Mathematics to Maximize the Value of Open-Pit Mines. Mineral resources are one of Australia's greatest assets. Their effective management will bring substantial long-term benefits to the Australian economy. Planning the exploitation of a mineral resource is a highly complex task. Current methods are approximate, and do not fully consider two critical issues: (1) ore mined at different times must be blended to achieve saleable product and (2) resource markets may not evolve as predicted. In this project we shall develop creative mathematical solutions to maximise the expected net present value of mines with far greater accuracy, taking into account blending and the uncertain nature of future demand.Read moreRead less