The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second...

The topic of the book is phase type distributions that have been recognized as an important tool in the quantitative analysis of systems (such as communication networks, logistic networks, manufacturing plants, etc.).

The book provides up-to-date and comprehensive guide to phase type distributions. The complete theoretical background, including definitions and characteristics of phase type distributions, is provided in a way that is accessible to a wide range of readers. Throughout the book, theory is accompanied by detailed application examples that illustrate the practical usage...