Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Linear Programming and Its Applications (17.0M534)

Type of studies	Title
Master Academic Studies	Mathematics in Engineering (Year: 1, Semester: Winter)

General information:

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

The main objective is to develop the ability for setting the linear mathematical models of real world problems, introduction to some methods of their solving and introduction to the possibilities of their application in engineering problems.

Theoretical knowledge in the field of the stated course contents. Skills in setting the mathematics models and knowledge of algorithms for their solving.

Linear programming: notion and interpretation in 2D and 3D. Simplex algorithm. Duality theory: weak, strong and complementarity principle. Sensitivity analysis. Basics of graph theory. Spinning trees. Transportation problem. Assignment problem. Problem of the shortest path in a graph. Matrix games.

In the lectures theoretical part of the course is followed by typical examples in order to better understand the matter taught. In the practice, which accompanies lectures, typical problems are solved and the knowledge taught in lectures is deepened. Besides lectures and practice, consultations are held on a regular basis.

Authors	Title	Year	Publisher	Language
Fryer, M.J.	An Introduction to Linear Programming and Matrix Game Theory	1978	Edward Arnold Ltd., London	English
Vanderbei, R.	Linear Programming : Foundations and Extensions	2008	Springer, New York	English

Course activity	Pre-examination	Obligations	Number of points
Written part of the exam - tasks and theory	No	Yes	30.00
Lecture attendance	Yes	Yes	5.00
Theoretical part of the exam	No	Yes	20.00
Coloquium exam	No	Yes	20.00
Exercise attendance	Yes	Yes	5.00
Term paper	Yes	Yes	20.00