Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, i ....Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, integer models usually assume the data is known with certainty, which is often not the case in the real world. This project will develop new theory and algorithms to enhance the analysis of integer models, including those that incorporating uncertainty, while also enabling the use of parallel computing paradigms. Read moreRead less
New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software ....New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software implementations. Both nonsmooth and integer optimisation problems have a good mathematical basis, but there are "gaps"; existing methods cannot always solve real industrial problems. This project will deliver better methods, built on better theory, and so will yield better solutions for important applications.Read moreRead less
Improving train flows with connected driver advice systems. The project aims to develop new train control theory to determine the efficient movement of multiple trains, and to demonstrate a practical system for coordinating trains, on busy intercity rail corridors. Railways around the world are now deploying driver advice systems developed by the research team and the partner organisation, TTG Transportation Technology. The project is designed to enable these systems to coordinate the movements ....Improving train flows with connected driver advice systems. The project aims to develop new train control theory to determine the efficient movement of multiple trains, and to demonstrate a practical system for coordinating trains, on busy intercity rail corridors. Railways around the world are now deploying driver advice systems developed by the research team and the partner organisation, TTG Transportation Technology. The project is designed to enable these systems to coordinate the movements of many trains on a congested rail network to improve timekeeping, smooth the flow of traffic, increase capacity and reduce energy use.Read moreRead less
Design of Tough, Durable and Corrosion-resistant Coatings. Coatings are frequently applied to components operating in harsh environments to enhance durability. Often such coatings exhibit low toughness and poor corrosion resistance that leads to premature failure. The aim of this project is to design, characterise and test innovative coatings that exhibit unique architectures based on natural materials such as teeth and nacre. It is envisaged that these coatings will be hard, tough and durable i ....Design of Tough, Durable and Corrosion-resistant Coatings. Coatings are frequently applied to components operating in harsh environments to enhance durability. Often such coatings exhibit low toughness and poor corrosion resistance that leads to premature failure. The aim of this project is to design, characterise and test innovative coatings that exhibit unique architectures based on natural materials such as teeth and nacre. It is envisaged that these coatings will be hard, tough and durable in hostile, corrosive environments, and will thus, transform industries such as manufacturing, mining and offshore oil exploration as well as enhance the lifetime of prosthetic devices.Read moreRead less
Foundation technology for quantum measurement, sensing and computing. This project will advance quantum control of cold ions, atoms and diamond colour centres for application of quantum science to high-tech problems, from ion-based quantum computing to diamond-based quantum imaging inside living cells.
Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale i ....Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale imaging inside living human cells. This project aims to continue and develop this role.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE140100131
Funder
Australian Research Council
Funding Amount
$500,000.00
Summary
National Facility for Cryogenic Photonics. National facility for cryogenic photonics: The project will establish a multi-disciplinary, multi-user facility for the development and analysis of photonic materials and devices at cryogenic temperatures, heralding a new paradigm in quantum optical research in Australia. The two nodes, one for photonic materials development and one for quantum device characterisation, will enable new physical phenomena to be discovered, new materials to be developed an ....National Facility for Cryogenic Photonics. National facility for cryogenic photonics: The project will establish a multi-disciplinary, multi-user facility for the development and analysis of photonic materials and devices at cryogenic temperatures, heralding a new paradigm in quantum optical research in Australia. The two nodes, one for photonic materials development and one for quantum device characterisation, will enable new physical phenomena to be discovered, new materials to be developed and will ultimately result in the creation of ground-breaking new photonic technologies. This collaborative facility will play a role in the quantum revolution, hailed as the next major step in societal evolution, providing breakthroughs in modern technology and placing Australia at the forefront of this field.Read moreRead less