Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms tha ....Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms that will make possible practical analysis of operator-analytic models.Read moreRead less
Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analy ....Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analysis and asymptotic optimisation of singularly perturbed control systems and Markov decision processes. In particular, we plan to establish links between general nonlinear optimal control problems with time average criteria and linear programming problems in the space of limit occupational measures generated by the underlying control system.Read moreRead less
Characterisation of Internet Traffic Matrices. The benefits to the community of characterisation of Internet traffic matrices arise because this information is used in the design of efficient and reliable networks. This is a genuine example of using the data we have more cleverly, rather than throwing money at a problem. Better information will result in the Internet becoming more efficient, and therefore cheaper, and at the same time more reliable.
Ensuring the Robustness of IP Routing. The Internet is by its nature international, and so any such effort to model and understand it must be somewhat international. However, Australia has longer network paths to the rest of the world and the routing protocols' operation depends on this latency. This emphasizes why Australia must participate in such research: to ensure that Australian issues are considered when Internet protocols are designed. This project will directly deliver a more robust Int ....Ensuring the Robustness of IP Routing. The Internet is by its nature international, and so any such effort to model and understand it must be somewhat international. However, Australia has longer network paths to the rest of the world and the routing protocols' operation depends on this latency. This emphasizes why Australia must participate in such research: to ensure that Australian issues are considered when Internet protocols are designed. This project will directly deliver a more robust Internet for Australia, international exposure in an area of general interest, the potential for patents, and the development of commercially valuable expertise and measurement infrastructure.Read moreRead less
Advances in the Verification of Communication Protocols. Australia's economy is becoming increasingly dependent on many complex distributed systems. Some important examples are the Internet, electronic commerce, financial networks, transportation systems, health care networks, telecommunication networks, defence systems, intelligent manufacturing systems and organisational workflow management systems. Failure in these systems can result in serious financial loss (in banking applications) and los ....Advances in the Verification of Communication Protocols. Australia's economy is becoming increasingly dependent on many complex distributed systems. Some important examples are the Internet, electronic commerce, financial networks, transportation systems, health care networks, telecommunication networks, defence systems, intelligent manufacturing systems and organisational workflow management systems. Failure in these systems can result in serious financial loss (in banking applications) and loss of life or serious accidents in safety critical areas (medical, transport and defence applications). It is thus of utmost importance that distributed systems are designed correctly. This project aims to advance the state of the art in verifying that distributed systems will work correctly.Read moreRead less
The use of stochastic fluid models for the evaluation of applications-driven sample path integrals. The major technical goal of this project is the production of novel methodologies which can be used to model and solve real-world problems of considerable engineering and/or environmental significance. The research for this project will serve to enhance further Australia's reputation as a country which makes major contributions, both theoretical and practical, to this field. The activities of the ....The use of stochastic fluid models for the evaluation of applications-driven sample path integrals. The major technical goal of this project is the production of novel methodologies which can be used to model and solve real-world problems of considerable engineering and/or environmental significance. The research for this project will serve to enhance further Australia's reputation as a country which makes major contributions, both theoretical and practical, to this field. The activities of the Stochastic Modelling, Analysis and Optimisation group at the University of Adelaide and the School of Mathematics at the University of Tasmania will receive further impetus, consequently maintaining a dynamic research environment for staff and students at both universities. Links between the two groups will be strengthened.Read moreRead less
Aggregating Generalised Stochastic Petri Nets for improved Performance Analysis. Australia's economy is very dependent on the operation of complex man-made systems. Important examples are telecommunication networks and services (e.g. the Internet), manufacturing plants, organisational processes, military logistics and transport systems (e.g. air traffic control). The performance of these systems is critical to their success. Thus being able to predict performance before systems are implemented i ....Aggregating Generalised Stochastic Petri Nets for improved Performance Analysis. Australia's economy is very dependent on the operation of complex man-made systems. Important examples are telecommunication networks and services (e.g. the Internet), manufacturing plants, organisational processes, military logistics and transport systems (e.g. air traffic control). The performance of these systems is critical to their success. Thus being able to predict performance before systems are implemented is very important in their design. This project will develop leading-edge performance analysis techniques and tools for an important class of practical systems. There is potential to commercialise the resulting tools and methodology and to transfer the expertise to industry.Read moreRead less