This book provides a systematic presentation of the major results in the field of the theory of k -out-of- n systems obtained in recent years and their applications for the reliability assessment of high-altitude unmanned platforms. Mathematical models, methods, and algorithms, presented in the book, will make a significant contribution to the development of reliability theory and the theoretical foundations of unmanned UAV-based aerial communications networks in the framework of the concept of creating the 5G and beyond networks. The book gives a description of new mathematical methods and approaches (based on decomposable semi-regenerative processes, simulation and machine learning methods, and inventory models) to the study of the complex k -out-of- n systems, which makes it possible to carry out numerical calculations of reliability indicators. Organized into five chapters, each chapter begins with a summary of the main definitions andresults contained in the chapter. The content of this book is based on the original results developed by the authors, many of which appear for the first time in book form.

Focuses on solving practical problems in the development of unmanned tethered high-altitude telecommunication platforms Gives new methods that can be used for mathematical models of other real systems Provides the models and methods for assessing the reliability of complex k-out-of-n type systems

Autorentext

Vladimir Vishnevsky is the Head of Telecommunication Networks Laboratory, the V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia. Earlier, he was Vice-Director of the Institute of Information Transmission Problems of RAS (from 1990-2010) and the Head of the Laboratory with ICS RAS (from 1971-1990). He became Full Professor at the ICS RAS in 1989, and at the Moscow Institute of Physics and Technology in 1990. He is Senior Member of the IEEE Communication Society, Chair of the Communications Society Chapter (COM19) of the IEEE Russia Section, member of the International Telecommunications Academy, and the New York Academy of Science. He received an engineering degree in Applied Mathematics from the Moscow Institute of Electronics and Mathematics, Russia, in 1971; a Ph.D. degree in queuing theory and telecommunication networks; and a D.Sc. degree in telecommunication networks from ICS RAS, in 1974 and 1988, respectively. Author of more than 400 papers in queuing theory and telecommunications, 12 books, and 20 patents for inventions, his research interests lie in the areas of computer systems and networks, queuing systems, telecommunications, discrete mathematics (extremal graph theory, mathematical programming), and wireless information transmission networks. Professor Vishnevsky is General Chair of the International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications and member of the Program Committee of several international conferences such as the International Congress on Ultra-Modern Telecommunications and Control Systems and Advances in Wireless and Optical Communications. He is also on the editorial board of several peer-reviewed journals such as the Automation and Remote Control, Advances in Systems Science and Applications, and Control Sciences. He is Project Leader of several international research projects related to the research and development of the next-generation networks by using tethered high-altitude unmanned platforms. In 2019, he was awarded the Honored Scientist of the Russian Federation by the President of the Russian Federation. Dharmaraja Selvamuthu is Professor and Head of the Department of Mathematics, the Indian Institute of Technology Delhi, New Delhi, India, since September 2020. He joined the institute in 2003. He is also Joint Faculty at the Bharti School of Telecommunication Technology and Management, since 2013. He is appointed as Jaswinder and Tarvinder Chadha Chair Professor for teaching and research in the areas of operations research (from 2010-2015). He earned his B.Sc. degree in Mathematics from Presidency College, Chennai, in 1992; M.Sc. degree in Applied Mathematics from Anna University, College of Engineering, Guindy, Chennai, in 1994; and Ph.D. degree in Mathematics from the Indian Institute of Technology Madras,Chennai, in 1999. From 1999 to 2002, he was Post-doctoral Fellow at the Department of Electrical and Computer Engineering, Duke University, USA. From 2002 to 2003, he was Research Associate at the TRLabs, Winnipeg, Canada. Vladimir Rykov is Full Professor at the Applied Mathematics and Computer Modeling Department of the Gubkin Russian State Oil and Gas University. He also is Full Professor at the Department of Probability Theory and Cyber Security, RUDN University, Russia, since 1990. He earned his D.Sc. degree in Physics and Mathematics from Moscow State University, in 1990. His main research interests include controllable queueing systems and reliability theory. Professor Rykov has been associated with Moscow Mathematical Society (Probability Theory Section), since 1968; Russian Actuarial Society, since 1995; Kappa Mu Epsilon; National Mathematics Honor Society; and Michigan Epsilon Chapter, since 2001. From 2001-2003, he wasGuest Professor at the Mathematical S

Inhalt
Chapter 1 On tethered high-altitude unmanned telecommunication platforms.- Chapter 2 Reliability function of a complex k -out-of- n model.- Chapter 3 Reliability characteristics for repairable k -out-of- n model.- Chapter 4 Preventive maintenance for k -out-of- n model.- Chapter 5 New approaches to reliability investigation of k -out-of- n models.