Sztrik J. Basic Queueing Theory

Debrecen (Hungary): University of Debrecen, 2021. — 254 p.The aim of the book is to present the basic methods, approaches mainly in a Markovian
level for the analysis of not too complicated systems. The main purpose is to understand how models could be constructed and how to analyze them. It is assumed the reader has been exposed to a first course in probability theory, however in the text I give a refresher and state the most important principles I need later on. My intention is to show what is behind the formulas and how we can derive formulas. It is also essential to know which kind of questions are reasonable and then how to answer them. I hope that after understanding this book the reader will be able to create his owns formulas if needed. The primary purpose of the book is to show how to create simple models for practical problems, that is why the general theory of stochastic processes is omitted. It uses only the most important concepts and sometimes states theorems without proofs, but each time the related references are cited.
This book is intended not only for students of computer science, engineering, operation research, mathematics but also those who study at business, management and planning departments, too. It covers more than one semester and has been tested by graduate students at Debrecen University over the years. It gives a very detailed analysis of the involved queueing systems by giving density function, distribution function, generating function, Laplace-transform, respectively. Furthermore, a software package called QSA (Queueing Systems Assistance) developed in 2021 is provided to calculate and visualize the main performance measures.
I have attempted to provide examples for the better understanding and a collection of exercises with detailed solution helps the reader in deepening her/his knowledge. I am convinced that the book covers the basic topics in stochastic modeling of practical problems and it supports students in all over the world.Fundamental Concepts of Queueing Theory.
Infinite-Source Queueing Systems.
Finite-Source Systems.
Exercises.
Queueing Theory Formulas.
Appendix.A5 format