University of Edinburgh

University of Edinburgh

Optimization and Operational Research

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.

Entry requirements

Doctor of Philosophy - PhD: Entry requirements for individual programmes vary, so please check the details for the specific programme you wish to apply for on our website. You will also need to meet the University's language requirements.

Course modules

See our website for detailed programme information.


Qualification Study mode Start month Fee Course duration
Doctor of Philosophy - PhD Full-time September 2019 - 3 Years
Doctor of Philosophy - PhD Part-time September 2019 - 6 Years

Campus details

Campus name Town Postcode Region Main campus Campus Partner
Central area campus EH8 9JZ Scotland

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Key information

Graduate School Administrator (Mathematics - Research)
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