| TNK104 | Applied Optimization I , 6 ECTS credits. /Tillämpad optimering I/ |
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Prel. scheduled
hours: 16 |
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Area of Education: Science Subject area: Transport systems |
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| Advancement level
(G1, G2, A): A
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| Aim: The course is aimed at providing the participants with knowledge in applied optimization, with focus on the application of theory and methods in combinatorial optimization for modeling and solving optimization problems originating from the area of transport and communication. The course also aims at letting the participants gain insights and practical skills in setting up mathematical models and using optimization methods. After completing the course, the participants shall be able to
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Basic knowledge in linear programming and integer programming, or equivalent Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: The course consists of lectures and computer labs. |
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| Course contents: Basics of combinatorial optimization; integer programming models; relations between combinatorial optimization, linear programming, and integer programming; branch and bound, and cutting plane for solving integer models; classical combinatorial optimization problems: shortest path, maximum flow, minimum spanning tree, matching, facility location, traveling salesman, and graph coloring; problem complexity: complexity classes, theoretical and practical impact of complexity on large scale optimization; introduction to modeling languages and solvers; setting up models using a modeling systems and problem solution using a solver; the impact of the choice of integer model in large scale optimization; heuristics: greedy heuristic, local search, tabu search, simulated annealing; problem relaxation and relaxation methods; application of heuristics and relaxation methods. |
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| Course literature: Lecture notes and references to literature |
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| Examination: | |||
| Project work Laboratory work |
3 ECTS 3 ECTS |
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Course language is English. Department offering the course: ITN. Director of Studies: Clas Rydergren Examiner: Di Yuan Course Syllabus in Swedish |
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