HYBRID METHODS FOR SOLVING LARGE-SCALE OPTIMISATION PROBLEMS. Mathematical modelling and optimisation plays a crucial role in the advancement of modern business, science and technology. A significant benefit of this project is the development of a range of powerful computational tools for improving the productivity of Australian industry, including: agriculture; communications; defence; manufacturing; mining and petroleum; transport and logistics. These tools will be built upon advances in the f ....HYBRID METHODS FOR SOLVING LARGE-SCALE OPTIMISATION PROBLEMS. Mathematical modelling and optimisation plays a crucial role in the advancement of modern business, science and technology. A significant benefit of this project is the development of a range of powerful computational tools for improving the productivity of Australian industry, including: agriculture; communications; defence; manufacturing; mining and petroleum; transport and logistics. These tools will be built upon advances in the fundamental theory developed by the research team. The resulting high quality publications and associated algorithms will greatly enhance Australia's international scientific reputation and provide Australian industry with new cutting-edge optimisation technology.Read moreRead less
Robust methods for hard optimization problems. Highly advanced industrial and information-based societies depend on complex systems that underpin their infrastructure and technologies. Mathematical modelling and optimization techniques are most frequently deployed for the development and refinement of these systems. This project focuses on an important class of difficult optimization problems that arise in many applications. A significant benefit of this project is the development of a number of ....Robust methods for hard optimization problems. Highly advanced industrial and information-based societies depend on complex systems that underpin their infrastructure and technologies. Mathematical modelling and optimization techniques are most frequently deployed for the development and refinement of these systems. This project focuses on an important class of difficult optimization problems that arise in many applications. A significant benefit of this project is the development of a number of robust methods for these hard optimization problems. These methods will be built upon advances in the fundamental theory developed by the research team. The resulting high quality publications and associated algorithms will greatly enhance Australia's international scientific reputation.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient ....A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.Read moreRead less
Application of Optimisation Techniques to the Truck/Loader Selection Problem in Mining. Australia has world class deposits of most major mineral commodities and is a major producer and exporter of coal and many metals. The mining industry has an annual turnover of around $40 billion. A significant component (up to 55%) of mining costs is material handling. This project aims to develop computational tools for determining the best selection of trucks and loaders for the mining operation. To da ....Application of Optimisation Techniques to the Truck/Loader Selection Problem in Mining. Australia has world class deposits of most major mineral commodities and is a major producer and exporter of coal and many metals. The mining industry has an annual turnover of around $40 billion. A significant component (up to 55%) of mining costs is material handling. This project aims to develop computational tools for determining the best selection of trucks and loaders for the mining operation. To date this important problem has not been addressed. Our strategy is to develop accurate mathematical models and cutting edge optimisation techniques for their solution. The research outcomes will have significant outcomes for the mining industry.Read moreRead less
A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient ....A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient solution methods, and efficient hardware implementation will be developed. The outcomes will enhance Australia's reputation in this cutting edge research and facilitate opportunity for international collaboration as well as commercial opportunity. The project will also provide an excellent environment for the training of junior researchers in the area.Read moreRead less
Effective computational methods for nonlinear cone optimisation with industrial applications. This project brings together a number of national and international researchers whose combined expertise will focus on solving optimisation problems arising in a range of industries. The work will result in new cutting edge optimisation technology that can benefit industry and the community.