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Operations Research - course description

General information
Course name Operations Research
Course ID 11.1-WK-MATD-BO-W-S14_pNadGenFDG7Y
Faculty Faculty of Mathematics, Computer Science and Econometrics
Field of study Mathematics
Education profile academic
Level of studies Second-cycle studies leading to MS degree
Beginning semester winter term 2019/2020
Course information
Semester 3
ECTS credits to win 6
Course type optional
Teaching language polish
Author of syllabus
  • prof. dr hab. Andrzej Cegielski
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
Lecture 15 1 - - Exam
Laboratory 30 2 - - Credit with grade

Aim of the course

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.

Prerequisites

Discrete mathematics, linear algebra, mathematical programming.

Scope

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

Teaching methods

Traditional lecture, laboratory with application of appropriate software.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

1. Checking the activity of the student
2. Written tests
3. Checking the ability of application of an appropriate software
4. Written examination
The final grade consists of the classes grade (30%), the lab’s grade (30%) and the examination’s grade (40%)

Recommended reading

1. Z. Galas, I. Nykowski, Z. Sółkiewski, Programowanie wielokryterialne, PWE, Warszawa, 1987.
2. W. Grabowski, Programowanie matematyczne, PWE, Warszawa, 1982.
3. M. Gruszczyński, T. Kuszewski, M. Podgórska, Ekonometria i badania operacyjne, PWN, Warszawa.
4. B. Guzik (red.), Ekonometria i badania operacyjne, zagadnienia podstawowe, wyd. III, Wydawnictwo AE w Poznaniu, Poznań, 2000.
5. Z. Jędrzejczyk, K. Kukuła, J. Skrzypek, A. Walkosz, Badania operacyjne w przykładach i zadaniach, wyd. IV, PWN, Warszawa, 2002.
6. W. Sikora (red.), Badania operacyjne, PWE, Warszawa, 2008.
7. T. Szapiro (red.), Decyzje menedżerskie z Excelem, PWE, Warszawa, 2000.
8. T. Trzaskalik, Wprowadzenie do badań operacyjnych z komputerem, PWE, Warszawa, 2003.
9. R. J. Vanderbei, Linear Programming, Foundations and Extensions, Kluwer, Boston, 1997.

Further reading

Notes


Modified by dr Robert Dylewski, prof. UZ (last modification: 20-09-2019 11:35)