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This introductory textbook is designed for a one-semester course on the use of the matrix and analytical methods for the performance analysis of telecommunication systems. It provides an introduction to the modelling and analysis of telecommunication systems for a broad interdisciplinary audience of students in mathematics and applied disciplines such as computer science, electronics engineering, and operations research.
List of contents
Part I. Preliminaries.- 1. Modeling and performance analysis of telecommunication systems.- 2. Erlang's systems.- 3. Multiservice loss networks.- 4. Modeling arrival and service processes.- Part II. Matrix-analytical methods.- 5. Generator matrices.- 6. Block generator matrices.- 7. Matrix-geometric solutions.- Part III. Resource queueing systems.- 8. Stochastic Lists of Resource Allocations.- 9. The Multi-Resource Service System with Service Times Dependent on the Required Amounts of Resources.- 10. Markovian systems with random resource requirements.- 11. Stochastic networks with flexible servers.- 12. Application examples and case studies.
About the author
Dr. Valeriy Naumov works for the Service Innovation Research Institute (PIKE) in Helsinki, a public non-profit research institute that focuses on theoretical and practical research for services and their improvement. Prof. Yuliya Gaidamaka, Dr. Natalia Yarkina, and Prof. Konstantin Samouylov work in the Dept. of Applied Probability and Informatics of the Peoples' Friendship University of Russia (RUDN University) in Moscow.
