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
Using Mathematics to Maximize the Efficiency of Shared Infrastructure in Australia's Coal Export Supply Chain. Port Waratah Coal Services operates the world's largest coal export terminal, servicing about 14 coal mining companies in the Hunter Valley, NSW. It is responsible for around $15 billion in annual export income for Australia. The coal supply chain is a complex operation, hampered by bottlenecks in critical shared infrastructure. Such limitations are estimated to cost Australia about $2 ....Using Mathematics to Maximize the Efficiency of Shared Infrastructure in Australia's Coal Export Supply Chain. Port Waratah Coal Services operates the world's largest coal export terminal, servicing about 14 coal mining companies in the Hunter Valley, NSW. It is responsible for around $15 billion in annual export income for Australia. The coal supply chain is a complex operation, hampered by bottlenecks in critical shared infrastructure. Such limitations are estimated to cost Australia about $2 billion pa in lost sales. This project will support the design of new infrastructure and processes to ensure an efficient supply chain. The new science resulting will benefit other coal operations in Australia, and potentially other bulk goods supply chains.Read moreRead less
Modelling the Choices of Individuals. Individuals make decisions daily and some of these decisions have wide-reaching and long-term consequences, such as choices among housing, public transport, electoral candidates and health care options. The principal aim of this project is to develop reliable and valid ways to model individual level choice processes. Once completed, this will provide insights into ways to aggregate sampled observations when population-level applications are required, and all ....Modelling the Choices of Individuals. Individuals make decisions daily and some of these decisions have wide-reaching and long-term consequences, such as choices among housing, public transport, electoral candidates and health care options. The principal aim of this project is to develop reliable and valid ways to model individual level choice processes. Once completed, this will provide insights into ways to aggregate sampled observations when population-level applications are required, and allow us to compare and test several competing theories of choice behaviour. This will enable us to make contributions to understanding and modelling human decision making in many fields ranging from marketing to medicine.Read moreRead less