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The University of Edinburgh: Optimization and Operational Research

Institution The University of Edinburgh View institution profile
Department School of Mathematics
Web https://www.ed.ac.uk/studying
Study type Research

Summary

The work in the Operational Research and Optimization research group is in three main areas: the mathematical and computing aspects of optimization, combinatorial optimization, and energy systems.

The core technology in optimization is the solution of large sparse linear and quadratic problems, and we provide world-class expertise in the two main solution methods for these: the simplex method and the interior point method. In combinatorial optimization, we provide expertise for modelling real-world problems using integer linear programming formulations and for deriving efficient exact and heuristic algorithms to solve them.

Specialist expertise in energy includes optimization of system planning and optimization, security of supply risk analysis, and decision support for public policy. We also have interests in PDE-constrained optimization, global optimization, decomposition methods, parallel computing, industrial applications of optimization and stochastic optimization.

Specific topics which could yield PhD projects include:

  • Algorithms for linear and nonlinear nonconvex smooth optimization problems

  • Optimization methods for linear, integer linear, quadratic and nonlinear programming

  • Decomposition methods for large-scale nonlinear nonconvex constrained optimization

  • Bundle methods

  • Warm starts for interior point methods

  • Pooling problems

  • Applications of optimization in logistics

  • Parameter uncertainty in queueing theory and revenue management.

  • Facility location and vehicle routing

Doctor of Philosophy - PhD

University of Edinburgh

Edinburgh. Extraordinary futures await.

The University of Edinburgh is one of the world's top universities, consistently ranked in the world top 50, and placed 27th in the 2025 QS World University Rankings.

Our position as one of Britain’s leading research universities was reaffirmed by the results of the 2021 Research Excellence Framework (REF). The University of Edinburgh is one of the world’s top research-intensive universities, ranked 4th in the UK for research power (Times Higher Education, Overall Ranking of Institutions), with 90% of our research activity classified as world leading or internationally excellent in the 2021 Research Excellence Framework.

Our …

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