| 1 | <p>Learn and apply the biobjective simplex method to solve biobjective linear programmes</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> </p> |
| 2 | <p>Implement the biobjective simplex algorithm</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> </p> |
| 3 | <p>Develop and implement linear models and their iterative solution through scalarisation, including the application of different strategies for representative sets of solution</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> </p> |
| 4 | <p>Understand and explain the major differences between multiobjective (continuous) linear programming and multiobjective integer programming</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> </p> |
| 5 | <p>Understand and implement the epsilon-constraint method and the box algorithm including being able to explain them by graphically illustrating how they work</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> </p> |
| 6 | <p>Understand and describe challenges in solving multiobjective integer programmes</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> </p> |
| 7 | <p>Understand and apply multiobjective optimisation application and theory by: being able to explain the theory of multiobjective optimisation concepts, Pareto efficiency, and difference to single objective optimisation problems; 2) being able to identify a real-world problem and formulate the corresponding mathematical optimisation model</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> <p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p> </p> |
| 8 | <p>Understand, explain and apply methods for speeding up the solution of integer programming problems</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> </p> |
| 9 | <p>Understand and explain integer programming solution methods including: 1) interpret and complete branch-and-bound trees; 2) list and explain the steps in the branch-and-bound, branch-and-cut, and/or branch-and-price methods.</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> </p> |
| 10 | <p>Understand, explain and apply integer programming by formulating problems as linear (integer) programs and discussing the relative strengths of different integer programs</p> | <p>MEngSt - Master of Engineering Studies - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p> <p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including, measurements, modelling and prediction, to solve complex engineering problems (WA5)</p> <p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p> <p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p> </p> |