# Queueing Theory (MAE634)

### General

School School of Science Department of Mathematics Undergraduate MAE634 6 Queueing Theory Lectures (Weekly Teaching Hours: 3, Credits: 6) Special Background - Greek Yes See eCourse, the Learning Management System maintained by the University of Ioannina.

### Learning Outcomes

Learning outcomes The course learning outcomes are: the study and development models that describe and analyse the behaviour and performance of queueing systems and their applications for optimal decision making. Upon successful completion of the course the student will be able to: recognize and implement M/M/1 queue model and its variants apply the Little's result recognize and implements M/G/1 queue model apply Markov processes to model queueing systems apply queueing models for decision making. Working independently Decision-making Adapting to new situations Production of free, creative and inductive thinking Synthesis of data and information, with the use of the necessary technology.

### Syllabus

Introduction. Birth death process. Transforms. Markovian Queueing Systems (Μ/Μ/1/∞, Μ/Μ/m/k, Μ/Μ/m/m, Μ/Μ/∞/∞). Queue with group arrival, Queue with group services, M/G/1/∞. Applications for optimal decision making.

### Teaching and Learning Methods - Evaluation

Delivery

Face-to-face

Use of Information and Communications Technology -

Software for the calculation of queueing systems performance measures, Email, class web

Teaching Methods
Lectures 39
Independent study 78
Fieldwork (3-4 set of homework) 33
Course total 150
Student Performance Evaluation

LANGUAGE OF EVALUATION: Greek
METHODS OF EVALUATION: Final exam (100%)

### Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

• Α. Οικονόμου. Θεωρία Ουρών Αναμονής, Υπό έκδοση (Κάλλιπος), 2023 (διαθέσιμο ηλεκτρονικά).
• Α. Σταφυλοπάτης, Γ. Σιόλας. Ανάλυση Επίδοσης Υπολογιστικών Συστημάτων. [ηλεκτρ. βιβλι.] Αθήνα. Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, 2015.
• I. Adan, J. Resing. Queueing Theory. Eindhoven. Notes available online https://www.win.tue.nl/jadan/queueing.pdf , 2001.
• J. Medhi. Stochastic Models in Queueing Theory, Academic Press, New York, 2003.
• P. Phuoc Tran-Gia, T. Hosfeld. Performance Modeling and Analysis of Communication Networks, 2017.
• [Περιοδικό / Journal] Queuing Systems (Springer)
• [Περιοδικό / Journal] Stochastic Models (Taylor - Francis)
• [Περιοδικό / Journal] European Journal of Operational Research (Elsevier)