Optimisation

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Guoyin Li mathematician

Optimisation is about finding the "best" way to do a task, subject to any restrictions. Research in optimisation includes model development, analysis, numerical techniques and applications.

Research interests

  • Applied nonlinear functional analysis
  • Convex geometry and optimisation
  • Global optimisation
  • Integer programming
  • Nonlinear programming
  • Nonsmooth analysis and optimisation
  • Numerical methods for nonsmooth problems
  • Polynomial optimisation
  • Robust optimisation
  • Semidefinite programming
  • Stochastic programming
  • Application of optimisation techniques to: approximation; biology; finance; engineering; statistics; data mining; fluid mixing; lung cancer radiotherapy; open pit mining; minimise aircraft delays; efficiently recover disrupted airline schedules; schedule single track rail freight; scheduling port operations.

Relevant courses

  • MATH3171 Linear and Discrete Optimization Modelling
  • MATH3191 Mathematical Optimization for Data Science
  • MATH3311 Mathematical Computing for Finance
  • MATH3701 Higher Topology and Differential Geometry
  • MATH3801 or MATH3901 Probability and Stochastic Processes/Higher version