The Theory of Queuing Systems with Correlated Flows

Alexander N. Dudin, Valentina I. Klimenok, Vladimir M. Vishnevsky (Autoren)

Buch | Softcover

XXII, 410 Seiten

2021 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-32074-4 (ISBN)

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This book is dedicated to the systematization and development of models, methods, and algorithms for queuing systems with correlated arrivals. After first setting up the basic tools needed for the study of queuing theory, the authors concentrate on complicated systems: multi-server systems with phase type distribution of service time or single-server queues with arbitrary distribution of service time or semi-Markovian service. They pay special attention to practically important retrial queues, tandem queues, and queues with unreliable servers.
Mathematical models of networks and queuing systems are widely used for the study and optimization of various technical, physical, economic, industrial, and administrative systems, and this book will be valuable for researchers, graduate students, and practitioners in these domains.

Mathematical Methods to Study Classical Queuing Systems.- Methods to Study Queuing Systems with Correlated Arrivals.- Queuing Systems with Waiting Space and Correlated Arrivals and Their Application to Evaluation of Network Structure Performance.- Retrial Queuing Systems with Correlated Input Flows and Their Application for Network Structures Performance Evaluation.- Mathematical Models and Methods of Investigation of Hybrid Communication Networks Based on Laser and Radio Technologies.- Tandem Queues with Correlated Arrivals and Their Application to System Structure Performance Evaluation.- App. A, Some Information from the Theory of Matrices and Functions of Matrices.

"The book fills a unique void and is a welcome addition to the queueing literature. The writing style is friendly and accessible, and the authors are to be congratulated on their accomplishment." (Myron Hlynka, Mathematical Reviews, April, 2021)

Erscheinungsdatum	16.01.2021
Zusatzinfo	XXII, 410 p. 58 illus., 5 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	653 g
Themenwelt	Mathematik / Informatik ► Informatik ► Netzwerke
Themenwelt	Informatik ► Weitere Themen ► Hardware
Schlagworte	Communication Systems • markov chains • Queuing models • queuing theory • Stochastic Processes • telecommunications
ISBN-10	3-030-32074-X / 303032074X
ISBN-13	978-3-030-32074-4 / 9783030320744
Zustand	Neuware