Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Operations Research (17.S053N)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Postal Traffic and Telecommunications (Godina: 2, Summer)
Undergraduate Academic Studies	Traffic and Transport Engineering (Godina: 2, Summer)

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	5

Educational goal:

The main objective is to develop the ability for setting the mathematics models of optimization using Linear Programming and Network Flow, as well as Queuing Systems. Aim is also to learn some methods for their solving and introduction to the possibilities of their application in engineering problems.

Educational outcome:

Theoretical knowledge in the field of the stated course contents. Skills in setting the mathematics models and knowledge of algorithms for solving Linear Programming problems. Application of mathematical modeling on analysis of queuing systems.

Course content:

Linear programming. Simplex algorithm. Duality theory. Introduction to Graph theory. Network flow. Application: Transportation problem, the Assignment Problem. Queuing theory: M/M/1, M/M/1/k, M/M/s, M/M/s/k.

Teaching methods:

Theoretical part of the course is followed by typical examples in order to better understand the thought matter. In the practice, which accompanies lectures, characteristic problems are solved and the knowledge taught during lectures is deepened. There are two tests during the course and final written exam, followed by oral exam.

Literature:

Authors	Title	Year	Publisher	Language
Vanderbei, R.	Linear Programming : Foundations and Extensions	2008	Springer, New York	English
Petrić, J., Kojić, Z., Šarenac, L.,	Zbirka zadataka iz operacionih istraživanja	1996	Nauka, Beograd	Serbian language
Vukadinović, S.	Elementi teorije masovnog opsluživanja	1988	Naučna knjiga, Beograd	Serbian language
Stojaković, M.	Slučajni procesi	1999	Fakultet tehničkih nauka, Novi Sad	Serbian language