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Optimization Tasks |
Petr Hliněný FI MU Brno, CZ |
| (Petr Hliněný) Actual and supplementary teacher's information about the subject Linear and Integer Optimization Tasks and their Solutions at FI MU Brno, CZ. Students should read them regularly... | 13 September 2008 | |
IA102: |
Optimization Tasks | 2011 |
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doc. RNDr. Petr Hliněný, Ph.D. (KTP FI MU) | Linear and Integer Optimization Tasks and their Solutions | |
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lecture 2, class exercises 1, select another -, eng angličtina | zk zkouška ( z ) | |
| Hours: The jaro 2011 timetable will be released on Po 14. 2. 2011 | ||
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Course objectives. This subject presents students with basic types of optimization tasks (e.g., combinatorial, linear, and integer optimization), and teaches the most common solution methods. The main focus is on explaining and understanding (not memorizing!) the presented solution methods, including their thorough mathematical background, so that the students would be able to combine these methods with other approaches in solving nonstandard optimization problems. At the end of the course students should be able to: understand and explain the network-flow algorithm, the simplex method, and the branch-and-bound algorithm; formulate suitable and sound mathematical models of practical optimization problems; and use available tools to solve these problems. | ||
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Prerequisites. Mathematical knowledge on course levels of basic linear algebra (vectors, matrices, linear equations) and discrete mathematics (relations, graphs). Introductory knowledge of topology is also welcome. | ||
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Course organization. This is an advanced course, taught mostly in English (with also Czech materials), and conducted quite informally (a seminar-type lecturing). Students are expected to actively participate in all the lectures and tutorials. Evaluation is based on a mandatory written individual homework assignment (one essay), and on a subsequent oral exam. | ||
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Teacher's information. Online course materials - main: P. Hliněný, Optimalizační úlohy, "http://www.fi.muni.cz/~hlineny/Teaching/OU/OU-text07.pdf" (in czech). Supplementary: R.J. Vanderbei, Linear Programming: Foundations and Extensions, "http://www.princeton.edu/~rvdb/LPbook/". A. Schrijver, A Course in Combinatorial Optimization. "http://homepages.cwi.nl/~lex/files/dict.pdf", CWI, Amsterdam. Sven O. Krumke, Course Materials, "http://optimierung.mathematik.uni-kl.de/~krumke/lecturenotes.html". | ||
Created by © Petr Hliněný
Faculty of Informatics MU Brno, CZ
13 September 2008
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