Subject

Operational research

Course Title

Operational research
Operations research

Code

F23L3S144

Study Programme

—

Organizer of the study programme (unit, institute, department or division)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First Cycle

Academic year / semester

8 / Summer

Number of ECTS credits

Teacher

Lasko Basnarkov

Prerequisites for enrolling in the course

Probability and Statistics or Fundamentals of Information Theory or Mathematics 3 or Business Statistics

10.

Objectives of the course programme (competences)

To familiarize the student with the field of problems and methods of operations research, resource and project optimization problems and optimal management, with methods and techniques of linear and nonlinear programming, decision and game theories, operations research related to management information systems and decision support and forecasting information systems.

11.

Course content

Lectures:
1. Introduction to Operations Research
2. Linear Programming Modeling
3. Simplex method and sensitivity analysis
4. Network models
5. Project Management with PERT/CPM
6. Dynamic, goal, and integer programming
7. Nonlinear programming
8. Decision theory, game theory
9. Queueing systems
10. Simulation models
11. Mark's chains
12. Prediction

Practical Classes:
1. Introduction to Operations Research
2. Linear Programming Modeling
3. Simplex method and sensitivity analysis
4. Network models
5. Project Management with PERT/CPM
6. Dynamic, goal, and integer programming
7. Nonlinear programming
8. Decision theory, game theory
9. Queueing systems
10. Simulation models
11. Mark's chains
12. Prediction

12.

Learning methods

Mastery of concepts, properties, and techniques through independent work; solving given tasks and practice problems; independent development and defense of a project assignment.

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

30 + 45 + 15 + 15 + 75 = 180 hours

15.

Forms of teaching activities

15.1.	Lectures - theoretical instruction	30 hours
15.2.	Exercises (laboratory, auditory), seminars, teamwork	45 hours

16.

Other forms of activities

16.1.	Project assignments	15 hours
16.2.	Independent assignments	15 hours
16.3.	Home study	75 hours

17.

Assessment method

17.1.	Tests	10 points
17.2.	Seminar paper / project (presentation: written and oral)	15 points
17.3.	Activities and learning	10 points
17.4.	Final exam	70 points

18.

Grading criteria (points / grade)

up to 50 points	5 (five) (F)
from 51 to 60 points	6 (six) (E)
from 61 to 70 points	7 (seven) (D)
from 71 to 80 points	8 (eight) (C)
from 81 to 90 points	9 (nine) (B)
from 91 to 100 points	10 (ten) (A)

19.

Requirement for obtaining a signature and taking the final exam

Completed laboratory exercises

20.

Language of instruction

Macedonian and English

21.

Method for monitoring the quality of teaching

internal evaluation and survey mechanism

22.

Literature

22.1.	Required literature 1. Hamdy A. Taha \| Operations Research \| Pearson Prentice Hall \| 2007 2. F.S. Hillier, G. J. Lieberman \| Introduction to Operations Research \| McGraw Hill \| 2010 3. Vincent Knight, Geraint Palmer \| Applied Mathematics with Open-Source Software: Operational Research Problems with Python and R \| Chapman & Hall/CRC \| 2022
22.2.	Additional literature No. Author Title Publisher Year