Mathematical Analysis and Optimization Research Group (MAORG)

Group Leader: Dr Adil Bagirov

a.bagirov@ballarat.edu.au

MAORG Projects & Grants MAORG Members

Focus

The main areas of research in MAORG are nonlinear analysis and in particular topology, statistics, numerical methods of nonsmooth and global optimization and their applications, development of optimization based data mining techniques, optimization based algorithms for solving various problems in bioinformatics.

Researchers from MAORG currently hold four ARC Discovery Grants and one ARC Linkage Grant, in the areas of nonsmooth and global optimization and their applications.

In optimization, the focus is on the development of new derivative free algorithms for nonsmooth and global optimization. These algorithms are used to develop new algorithms to solve various problems from data mining and bioinformatics.

Capability

MAORG can provide expertise to industry and government by:

• Developing new algorithms in global and non-smooth optimization
• Modeling real world problems
• Identifying optimal resource allocation
• Generating algebraic group structures
• Identifying optimal use of office space
• Creating models for water efficiency

Engagement

MAORG seeks to form collaborative partnerships within industry, government bodies and other community organizations. Examples of past and current relationships include:

• Woodside Energy
• Shell International
• Kann Finch Pty Ltd
• Transfield Services / Bluescope Steel

MAORG Projects & Grants

ARC Projects

• Approximate bundle methods in non-smooth optimization and their applications in some complex systems
• Operations research without convexity
• Necessary and sufficient conditions for global minimum in multi-extremal global continuous optimization
• Enhancing mathematics achievement and engagement by using technology to support real problem solving and lessons of high cognitive demand
• Constrained and Stable Solutions of Nonlinear and Semismooth Equations
• Filled function methods for global optimization and their applications
• Development of Global Optimization Techniques for the Office Design Problem
• Derivative free algorithms for large scale nonsmooth global optimization and their applications
• Optimization of capital and operational expenditures for a telecommunication network
• Dual methods for solution and computational analysis of structured optimization problems

Commercial Projects

• Australian Defence Force - Anthropometry
• Application of non-linear optimization techniques for production optimization

Non Funded Projects

• The Structure of Pro-Lie groups and Locally Compact Groups
• Describing Varieties of Abelian Topological Groups
• Nonsmooth analysis and optimization
• Optimal Placement of Network Infrastructure in Wireless Networks
• Generalised Lagrange-type functions in non-convex optimization
• Asymptotical stability of optimal trajectories
• Stationarity and Regularity of Sets and Mappings with Applications to Optimization and Control Investigators Project

MAORG Members

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