MSc in Electrical Engineering

## Course Information Package

Course Unit Title | OPTIMIZATION METHODS AND APPLICATIONS | ||||||||

Course Unit Code | AEEE556 | ||||||||

Course Unit Details | MSc Electrical Engineering (Technical Electives) - | ||||||||

Number of ECTS credits allocated | 7 | ||||||||

Learning Outcomes of the course unit | By the end of the course, the students should be able to:- Explain the significance of optimization in engineering and develop, formulate and solve linear and nonlinear programming problems.
- Understand the concepts of constrained and unconstrained optimization, existence and uniqueness of optimal solutions, optimality conditions, convexity, feasibility and duality.
- Transform practical optimization problems into linear programming problems and solve them using the simplex method.
- Transform primal optimization problems into their dual and solve them using the dual simplex method.
- Transform practical optimization problems into nonlinear programming problems and solve them using the gradient method and the Newton method.
- Formulate and solve problems such as the transportation problem, the assignment problem, the minimum-cost flow problem, the maximal flow problem.
| ||||||||

Mode of Delivery | Face-to-face | ||||||||

Prerequisites | NONE | Co-requisites | NONE | ||||||

Recommended optional program components |
| ||||||||

Course Contents |
| ||||||||

Recommended and/or required reading: | |||||||||

Textbooks | - David. G. Luenberger, Linear and Nonlinear Programming, Addison-Wesley, 1984.
| ||||||||

References | - D. P. Bertsekas, Nonlinear Programming, Athena Scientific, 1999.
- D. Bertsimas, J.N. Tsitsiklis, Introduction to Linear Optimization, Athena Scientific, 1997.
| ||||||||

Planned learning activities and teaching methods | Teaching is based on lectures. The course delivery will be based on theoretical lecturing, assignments and exercises solved in class. Exercises will be handed to students and their solutions shall be analysed at lecture periods. Additional tutorial time at the end of each lecture will be provided to students. Students are expected to demonstrate the necessary effort to become confident with the different concepts and topics of the course. | ||||||||

Assessment methods and criteria |
| ||||||||

Language of instruction | English | ||||||||

Work placement(s) | NO |