博士优化与运筹学

作为运筹学和优化研究小组的成员，您还将成为爱丁堡优化研究小组（ERGO）的一部分，爱丁堡优化小组是一个更广泛的协会，我们的研究重点是邓迪和牛津大学的学者作为商业组织。通过定期的研讨会系列，该网络可以与许多对运营研究和优化发展感兴趣的本地和国际机构以及行业机构进行互动。结果，您将建立有价值的关系，这将帮助您将研究提高到最佳水平。数学学院是一个充满活力的社区，由60多名学术和相关人员组成，负责监督60名学生。
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