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.

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.

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.

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.