Stability Analysis of Regenerative Queueing Models

Mathematical Methods and Applications
1. Auflage 2021
ISBN: 978-3-030-82440-2
Verlag: Springer International Publishing

Buch, Englisch, 185 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 312 g

The stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. 

The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method.

The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stabilityof queueing systems.

Zielgruppe

Research

Autoren/Hrsg.

Steyaert, Bart

Morozov, Evsey

Fachgebiete

• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

1 Introduction.- 2 The Classical GI/G/1 and GI/G/m Queueing Systems.- 3 Tightness and Monotonicity.- 4 Generalizations of Multiserver Systems.- 5 State-dependent systems.- 6 N-models.- 7 Multiclass Retrial Systems with Constant Retrial Rates.- 8 Systems with State-Dependent Retrial Rates.- 9 A Multiclass Multiserver System with Classical Retrials.- 10 Other Related Models.

Über Autor(innen)

Prof. Evsey Morozov is a chief researcher at the Institute of Applied Mathematical Research of the Karelian Research Centre, Russian Academy of Sciences,and professor at the Institute of Mathematics and Information Technologies  at Petrozavodsk State University, Petrozavodsk, Russia. 

Dr. Bart Steyaert has been working as a researcher at the SMACS Research Group, Department TELIN, at Ghent University, Belgium..