Interconnection Network Routing and Graph Symmetry. Efficient routing schemes are of fundamental importance to both
traditional and optical interconnection networks. To achieve high
performance it is recommended that the graph modelling the network be vertex-transitive, meaning that it looks the same viewed from any vertex. In this project we will conduct a systematic study of the routing problem for such networks. We will focus on the effect of vertex-transitivity and some other symmetry pro ....Interconnection Network Routing and Graph Symmetry. Efficient routing schemes are of fundamental importance to both
traditional and optical interconnection networks. To achieve high
performance it is recommended that the graph modelling the network be vertex-transitive, meaning that it looks the same viewed from any vertex. In this project we will conduct a systematic study of the routing problem for such networks. We will focus on the effect of vertex-transitivity and some other symmetry properties on the efficiency of routing schemes measured by the vertex- and edge-congestions, and the minimum number of wavelengths needed in optical networks.Read moreRead less
Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential app ....Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential applications in computer and telecommunication industries, and advance significantly our knowledge on relevant subjects of mathematics and operations research. Read moreRead less
Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and ana ....Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and analyse mathematical and statistical models for natural and artificial complex systems,
- to use these models to develop an understanding of the behaviour of these systems
- to incorporate this understanding into strategies for management and control.Read moreRead less
Queueing systems and their application to telecommunication systems and dams. The aim of this project is to investigate the behaviour of large queueing systems under critical load conditions and solve problems related to large telecommunication systems, information technologies and dams. The project will have significant economic and social benefits. It will lead to the solution of high priority problems of optimal control of water resources, as well as problems in design technology of high spee ....Queueing systems and their application to telecommunication systems and dams. The aim of this project is to investigate the behaviour of large queueing systems under critical load conditions and solve problems related to large telecommunication systems, information technologies and dams. The project will have significant economic and social benefits. It will lead to the solution of high priority problems of optimal control of water resources, as well as problems in design technology of high speed telecommunication networks. It will suggest new more profitable approaches to known problems such as effective bandwidth problem, analysis and design of computer networks, optimal control of dams, and anticipate not ordinary results and solutions. It will contribute to the mathematical culture in Australia and worldwide. Read moreRead less
Information Geometry and Compressive Sensing for Radar and Communications. Australia's vast distances, thin population and extensive sea approaches force us to place heavy reliance on telecommunications and the remote sensing that radar and other modalities can provide. This project will enchance capabilities in sensing to provide more reliable, robust and cost effective communications and surveillance over a wide area.
The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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Evolutionary multi-objective algorithms for Global Grids. This research investigates alternative software technologies for Grid-based evolutionary multi-objective decision algorithms. By employing the latest adaptive techniques and taking advantage of the low cost Grid infrastructure, new parallel evolutionary systems will be developed that can rapidly supply robust solutions to complex problems. This project will further develop an understanding of scaling issues in parallel evolutionary syste ....Evolutionary multi-objective algorithms for Global Grids. This research investigates alternative software technologies for Grid-based evolutionary multi-objective decision algorithms. By employing the latest adaptive techniques and taking advantage of the low cost Grid infrastructure, new parallel evolutionary systems will be developed that can rapidly supply robust solutions to complex problems. This project will further develop an understanding of scaling issues in parallel evolutionary systems and pave the way for even more widespread application of evolutionary techniques for large scale, data-intensive applications in science and industry.Read moreRead less