Introduction to queueing systems with telecommunication applications László Lakatos, László Szeidl, Miklós Telek

Format:

Book

Author/Creator:

Lakatos, László

Contributor:

Szeidl, László

Telek, Miklós

Language:

English

Subjects (All):

Queuing theory.

Telecommunication systems--Mathematical models.

Telecommunication systems.

Telecommunications.

distribution (statistics-related concept).

telecommunications.

Medical Subjects:

Telecommunications.

Physical Description:

1 online resource

Place of Publication:

New York Springer ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

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 part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, ATM switches, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences

Contents:

Introduction to probability theory and stochastic processes Introduction to Probability Theory Introduction to Stochastic Processes Markov Chains Renewal and Regenerative Processes Markov Chains with Special Structures Queueing systems Introduction to Queueing Systems Markovian Queueing Systems Non-Markovian Queueing Systems Queueing Systems with Structured Markov Chains Queueing Networks Applied Queueing Systems

Preface

Introduction to probability theory

Introduction to stochastic processes

Markov chains

Renewal and regenerative processes

Markov chains with special structures

Introduction to queueing systems

Markovian queueing systems

Non-Markovian queueing systems

Queueing systems with structured Markov chains

Queueing networks

Applied queueing systems

Functions and transforms

Exercises

References.-

Notes:

Includes bibliographical references and index

Other Format:

Print version Lakatos, Laszlo. Introduction to Queueing Systems with Telecommunication Applications

ISBN:

9781461453178

1461453178

146145316X

9781461453161

OCLC:

823241953

Access Restriction:

Restricted for use by site license