Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, ....Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, and robust and efficient algorithms for solving some important nonlinear continuous optimization problems. There is high potential for applications in engineering, business and finance.Read moreRead less
A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will prov ....A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will provide a sophisticated numerical technique for geotechnical engineers/scientists to determine geomechanical parameters accurately from in-situ observation and displacement measurements, leading to the optimal design of rock structures in subsequent analysis.Read moreRead less
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
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
Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes ....Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes will include the development of new theory in probability and statistics, the initiation and reinforcement of collaborative ties with major international research figures, and the fostering of contacts with the finance industry.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0346878
Funder
Australian Research Council
Funding Amount
$190,000.00
Summary
GeoWulf: An Inference Engine for Complex Earth Systems. The project is to build a `Beowulf' cluster as a platform for solving
complex data inference problems in the Earth sciences, and in
particular the fields of thermochronology, seismology, crustal and
mantle dynamics, and landform evolution. A Beowulf cluster is a
network-linked set of commonly available `off-the-shelf' PC-computers
configured to give unprecedented performance/cost ratio. Projects
using the Beowulf facility will combine ....GeoWulf: An Inference Engine for Complex Earth Systems. The project is to build a `Beowulf' cluster as a platform for solving
complex data inference problems in the Earth sciences, and in
particular the fields of thermochronology, seismology, crustal and
mantle dynamics, and landform evolution. A Beowulf cluster is a
network-linked set of commonly available `off-the-shelf' PC-computers
configured to give unprecedented performance/cost ratio. Projects
using the Beowulf facility will combine state-of-the-art computational
techniques recently developed at ANU, and high quality data sets
collected over the past decade to address fundamental questions in
the Geosciences.Read moreRead less
Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful impleme ....Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful implementation of this project will bring a huge economic benefit to Australia by utilising the vast amount of remotely located and otherwise unusable stranded natural gas reserves. The project falls within one of National Research Priorities: An Environmentally Sustainable Australia.Read moreRead less