Faculty of Engineering and Information Technologies Postgraduate Units of Study

Objectives/Expected Outcomes: The unit is intended primarily to graduate students and senior undergraduate students with some background in linear algebra, and with basic knowledge of FORTRAN, C++ or Matlab. After completion of this unit, students will have a much deeper understanding of methods used in modern design optimisation for linear and non-linear problems. Such problems are becoming increasingly common and important in engineering and scientific work. The unit will explore the limitations, advantages and caveats associated with optimisation in engineering applications. Students will develop their own optimisation methods for linear, non-linear, and multi-objective computational and experimental applications. Syllabus Summary: Introduction to design optimisation -Designs that can be optimised. Problem classification. Closed form methods. One dimensional convex methods. Multidimensional convex methods. Constrained problems. Stochastic methods Evolutionary algorithms. Multi-objective problems and game theory Pareto, Nash and Stackelberg approaches.