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Operations Research 2 - course description

General information
Course name Operations Research 2
Course ID 11.1-WK-MATP-BO2-L-S14_pNadGen6ZVYX
Faculty Faculty of Mathematics, Computer Science and Econometrics
Field of study Mathematics
Education profile academic
Level of studies First-cycle studies leading to Bachelor's degree
Beginning semester winter term 2019/2020
Course information
Semester 5
ECTS credits to win 6
Course type optional
Teaching language polish
Author of syllabus
  • dr hab. Zbigniew Świtalski, prof. UZ
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Laboratory 30 2 - - Credit with grade
Lecture 30 2 - - Exam

Aim of the course

Knowledge of selected methods, models and applications of operations research.

Prerequisites

Basic Linear Algebra, Discrete Mathematics, Probability Theory, Operations Research 1.

Scope

1. Mathematical modelling in operations research. Applications of operations research. (2 h.)
2. Selected models of discrete optimization and their applications. (6 h.)
3. Methods of solving the problems of discrete optimization. (2 h.)
4. Genetic algorithms. (2 h.)
5. Maximal flow problem. Ford-Fulkerson algorithm (2 h.)
6. Project scheduling methods. CPM method. (4 h.)
7. Travelling salesman problem. Little’s algorithm. (4 h.)
8. Multicriteria programming. Interactive methods. (2 h.)
9. Dynamic programming. Decision trees. (2 h.)
10. Decision making under uncertainty. Stochastic programming. (4 h.)

Teaching methods

Lecture, laboratory classes.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

1. Verification of activity of students during the laboratory classes.
2. Writing tests during the lab classes.
3. Writing exam.
Final score = Activity + writing tests (50 %), exam (50 %).

Recommended reading

1. Cegielski, Programowanie matematyczne - część 1 - Programowanie liniowe, Uniwersytet Zielonogórski, Zielona Góra, 2002.
2. T. Trzaskalik, Wprowadzenie do badań operacyjnych z komputerem, PWE, Warszawa, 2003.
3. Badania operacyjne (red. W. Sikora), PWE, Warszawa, 2008.
4. F.S. Hiller, G.J. Lieberman, Introduction to Operations Research, McGraw-Hill, 2005.

Further reading

1. W. Grabowski, Programowanie matematyczne, PWE, Warszawa, 1982.
2. Decyzje menedżerskie z Excelem (red. T. Szapiro), PWE, Warszawa, 2000.
3. A.A. Korbut, J.J. Finkelsztejn, Programowanie dyskretne, PWN, Warszawa, 1974.

Notes


Modified by dr Robert Dylewski, prof. UZ (last modification: 20-09-2019 09:58)