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Semester 1 - Dual-Delivery
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This subject introduces some major techniques and algorithms for solving nonlinear optimisation problems. Unconstrained and constrained systems will be considered, for both convex and non-convex problems. The methods covered include: interval search techniques, Newton and quasi-Newton methods, penalty methods for nonlinear programs, and methods based on duality. The emphasis is both on being able to apply and implement the techniques discussed, and on understanding the underlying mathematical principles. Examples involve the formulation of operations research models for linear regression, multi-facility location analysis and network flow optimisation.
A significant part of the subject is the project, where students work in groups on a practical operations research problem.
Intended learning outcomes
On completion of this subject students should develop:
- skills in setting up operations research models;
- a knowledge of the most important techniques for solving nonlinear optimisation problems;
- an understanding of the role of algorithmic thinking in the solution of operations research problems;
- competence in the use of computer packages in operations research;
- an understanding of the factors and restrictions involved in building and using models for planning and management problems;
In addition to learning specific skills that will assist in their future careers in science, students will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing commitments;
- computer skills: the ability to use mathematical computing packages.
Last updated: 9 September 2021