Large Scale Complex Multiagent Systems : Control Methodologies and Information Architectures. Future military operations are likely to involve increasing use of unmanned vehicles, airborne, underwater or on land. In some cases there will be very large formations. This research will develop methodologies which allow formations of unmanned vehicles to be configured. Much of the same methodology is applicable to the construction and operation of large scale sensor networks, identified by some comm ....Large Scale Complex Multiagent Systems : Control Methodologies and Information Architectures. Future military operations are likely to involve increasing use of unmanned vehicles, airborne, underwater or on land. In some cases there will be very large formations. This research will develop methodologies which allow formations of unmanned vehicles to be configured. Much of the same methodology is applicable to the construction and operation of large scale sensor networks, identified by some commentators as one of the most important technologies of the 21st century. They comprise large numbers of low cost networked sensors and will increasingly find application in security, agricultural and environmental monitoring.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
Problems of identification and inference for 'non-standard' models in complex systems with special reference to finance and teletraffic. The project is concerned with 'non-standard' models needed to deal with complex systems, such as those exhibiting scaling and fractal properties. There is a focus on methods for dealing with heavy tailed distributions and long range dependent observations, for which most standard statistical methods break down, and on applications in finance and telecommunicati ....Problems of identification and inference for 'non-standard' models in complex systems with special reference to finance and teletraffic. The project is concerned with 'non-standard' models needed to deal with complex systems, such as those exhibiting scaling and fractal properties. There is a focus on methods for dealing with heavy tailed distributions and long range dependent observations, for which most standard statistical methods break down, and on applications in finance and telecommunications. An important part of the project concerns model validation for Heyde's fractal activity time geometric Brownian motion model, a candidate minimal description risky asset model to replace the geometric Brownian motion paradigm.Read moreRead less
A new generation of fractals: theory, computation, and applications particularly to digital imaging. The project develops the mathematical and algorithmic foundations of superfractals and applies these results to a number of different areas, including in particular, digital imaging. For example, the ``third generation'' of mobile communications (3G), combines wireless mobile technology with high data transmission capacities. Currently the requirement for extensive bandwidth is a problem for e ....A new generation of fractals: theory, computation, and applications particularly to digital imaging. The project develops the mathematical and algorithmic foundations of superfractals and applies these results to a number of different areas, including in particular, digital imaging. For example, the ``third generation'' of mobile communications (3G), combines wireless mobile technology with high data transmission capacities. Currently the requirement for extensive bandwidth is a problem for efficient use. Superfractals and the associated colouring algorithm could be used to develop a new system to produce synthetic content for wireless devices that would require only low bandwidth.Read moreRead less
COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet i ....COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet illustrate the need for research on modelling, analysis of behaviour, planning and control in such networks. This project aims to establish research in this area for Australia's benefit.Read moreRead less
Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM netw ....Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM networks by studying their computational complexities and devising scalable, high-quality approximation algorithms for them. The developed algorithms significantly improve the network performance and scalability, and the innovative approaches and algorithm techniques developed in this project are also applicable to other routing problems.Read moreRead less
Dynamics and Security Control of Complex Networks. The research will yield basic techniques to analyse, design and operate complex networks so that security, as well as performance, is achieved. These techniques will be further developed towards particular applications including power grids and telecommunication networks. However, the emphasis is on providing basic ideas and techniques.
Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing ....Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing efficient routing algorithms for all-to-all routing and robust routing in the WDM networks. Incorporated with various known techniques, practical algorithms will be developed. The algorithms and techniques developed in this project will be through simulation, testing, and implementation.Read moreRead less
Signal Concentration, Robust Signal Processing and Information Theory on the Unit Sphere. This project will assist Australia in maintaining and elevating its international research role in the development of breakthrough signal processing techniques applied to mobile communication, geodesy, astronomy, defence and surveillance, and acoustic modeling of human hearing. The project's high impact contributions will advance Australia's knowledge base and through its applications attract industry inte ....Signal Concentration, Robust Signal Processing and Information Theory on the Unit Sphere. This project will assist Australia in maintaining and elevating its international research role in the development of breakthrough signal processing techniques applied to mobile communication, geodesy, astronomy, defence and surveillance, and acoustic modeling of human hearing. The project's high impact contributions will advance Australia's knowledge base and through its applications attract industry interest particularly in the development of improved instrumentation. The publication of outcomes will elevate Australia's research reputation. The project provides high quality research training for gifted postgraduate students and postdoctoral researchers.Read moreRead less