Reliability Assessment of Tethered High-altitude Unmanned Telecommunication Platforms: k-out-of-n Reliability Models and Applications (Infosys Science Foundation Series)

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. Foreword Acknowledgements Introduction Contents Acronyms 1 On Tethered High-Altitude Unmanned Telecommunication Platforms 1.1 System Description and Object of Study 1.2 Review of kk-Out-of-nn Models 1.3 Notations and Assumptions 2 Reliability Function of a Complex kk-Out-of-nn Model 2.1 Reliability Function of a Non-repairable kk-Out-of-nn Model 2.1.1 Preliminaries 2.1.2 Reliability Function of a System, Failure of Which Depends Only on Number of its Failed Components 2.1.3 Reliability Function of a Complex Heterogeneous System 2.1.4 Reliability Function of a Load-Sharing kk-Out-of-nn Model Due to its Components Failure 2.1.5 Reliability Function of a kk-Out-of-nn Model Under Decreasing Components' Residual Lifetimes 2.2 On Reliability Function of a kk-Out-of-nn Model with Component-Wise Repairs 2.2.1 Preliminaries 2.2.2 Reliability Function 2.2.3 An Example 2.3 On Reliability Analysis of a kk-Out-of-nn Model in a Random Environment 2.3.1 Preliminaries 2.3.2 General Model 2.3.3 Numerical Example 3 Reliability Characteristics for Repairable kk-Out-of-nn Model 3.1 Preliminaries 3.2 Time-Dependent Characteristics 3.2.1 Partial Repair Scenario 3.2.2 Full Repair Scenario 3.3 Stationary Characteristics 3.3.1 Partial Repair Scenario 3.3.2 Full Repair Scenario 4 Preventive Maintenance for kk-Out-of-nn Model 4.1 Preventive Maintenance of the kk-Out-of-nn Model ... 4.1.1 The Problem Set and Notations 4.1.2 Process J and the General Procedure of the PM Quality Calculation 4.1.3 The PM of the kk-Out-to-nn Model When Its Failure Depends Only on Number of Its Failed Components 4.1.4 The PM of the kk-Out-of-nn Model, Which Failure Depends on the Location of Its Failed Components 4.2 PM of the kk-Out-of-nn Model with Respect to Cost-Type Criterion 4.2.1 The Problem Setup, Assumptions, and Notations 4.2.2 The Problem Solution and the General Procedure for Comparing the Quality of PM Strategies 4.2.3 Numerical Experiments 5 New Approaches to Reliability Investigation of kk-Out-of-nn Models 5.1 Application of Decomposable Semi-regenerative Processes ... 5.1.1 Preliminaries 5.1.2 State of Problem Notations 5.1.3 Partial Repair Regime 5.1.4 Full Repair Regime 5.2 Application of Simulation and ML Methods to the Study of Non-repairable ... 5.2.1 Preliminaries 5.2.2 Numerical Example and Sensitivity Analysis 5.2.3 Methods and Data 5.2.4 Training and Testing Results 5.3 Application of Simulation and ML Methods to the Study of Repairable ... 5.3.1 Preliminaries 5.3.2 Numerical and Sensitivity Analysis Using Simulation 5.3.3 Design and Configuration of a Neural Network 5.3.4 Network Training 5.3.5 Comparative Analysis of the Results of Analytics, Simulation, and Neural Network Prediction 5.4 Some New Directions of Research 5.4.1 Reliability-Inventory and Its Extensions 5.4.2 Analysis of the Reliability of a kk-Out-of-nn System with Interdependent Components Appendix References