1. SylabUZ
2. Wydział Matematyki, Informatyki i Ekonometrii
3. semestr zimowy 2022/2023
4. Mathematics - drugiego stopnia z tyt. magistra
5. Operations Research

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Operations Research - opis przedmiotu

Cel przedmiotu

The lecture should give a knowledge on mathematical foundations of operations research, in particular on foundations of discrete programming and network problems. Furthermore, basic methods for discrete problems will be presented.

Wymagania wstępne

Zapisz zmiany

Discrete mathematics, linear algebra, mathematical programming.

Zakres tematyczny

1. Methods of operations research
2. Construction of optimization’s models, examples
3. Discrete optimization and its applications
4. Optimization problems in project scheduling. CPM-COST method
5. Models and algorithms of job sequencing
6. Multicriterial programming
7. Matching models
8. Methods of operations research
9. Construction of optimization’s models, examples
10. Discrete optimization and its applications
11. Optimization problems in project scheduling. CPM-COST method
12. Models and algorithms of job sequencing
13. Multicriterial programming
14. Matching models

Metody kształcenia

Traditional lecture, laboratory with application of appropriate software.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

Laboratory: checking the level of students' preparation and their ability to use appropriate software; written test with point thresholds and tasks to assess whether the student has achieved the learning outcomes.

Lecture: written exam consisting of test questions and tasks, verifying understanding of models and methods.

The final course grade takes into account the laboratory grade (50%) and the exam grade (50%). The condition for passing the course is a positive grade in the laboratory and exam.

Literatura podstawowa

1. R. J. Vanderbei, Linear Programming, Foundations and Extensions, Kluwer, Boston, 1997.
2. F.S. Hiller, G.J. Lieberman, Introduction to Operations Research, McGraw-Hill, 2005.
3. Vicas Singla, Operations Research using Excel A Case Study Approach, CRC Press, 2022.

Literatura uzupełniająca

1. Wayne L. Winston, Operations Research Applications and Algorithms, 4th edition, Thomson Brooks/Cole, 2004.
2. Hamdy A. Taha, Operations Research An Introduction, 10th edition, Pearson Education Limited, 2017.
3. Ronald L. Rardin, Optimization in Operations Research, 2nd edition, Pearson Higher Education, Inc., Hoboken, NJ 07030, 2017.
4. M. Ehrgott, Multicriteria Optimization, 2nd edition, Springer, 2005.

Uwagi

Zmodyfikowane przez dr Joachim Syga (ostatnia modyfikacja: 08-02-2024 23:01)