Queuing theory | Faculty of Technical Sciences

Subject: Queuing theory (17.0M504L)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Master Academic Studies	Information and Analytics Engineering (Year: 1, Semester: Summer)
Master Academic Studies	Information Engineering (Year: 1, Semester: Summer)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika
ECTS	4

Enabling students to develop abstract thinking and acquire basic knowledge in the field of operational research queueing theory and stochastic processes.

Ability to use the acquired knowledge in further education in engineering subjects so as to postulate and solve mathematical models from the field of operational research, queueing theory, and stochastic processes.

Introduction to queueing theory. Kendall notation. Queueing models. Arrivals time distributions. Service time distributions and characteristics. Departure process. Characteristics of M|M|1, M|M|n queueing process. Differential equations for probability of having n customers in the system. Difference equations for steady-state probabilities. Pollaczek - Khintchine formula. Different types of queueing processes - multiple-server case, priority queues, bulk processes, closed processes.

Lectures. Numerical and calculation practice. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. During the practice classes which follow the lectures, the subject matter from theory classes is supported by characteristic examples to provide further practice and better understanding In addition to lectures and practice classes there are regular consultations. There is a possibility of taking partial examinations which cover certain logical units during the course.