Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo

ISBN-13: 9780367384654 / Angielski / Miękka / 2019 / 219 str.

Ilya B. Gertsbakh; Yoseph Shpungin

Opis

Unique in its approach, this volume provides a brief introduction to Monte Carlo methods and a concise exposition of Reliability Theory ideas. From there, it investigates a collection of principal network reliability models and provides solutions for most principal network reliability problems as Monte Carlo algorithms. Written by reliability experts with significant teaching experience, this reader-friendly text serves the needs of software, industrial, and reliability engineering students, researchers, and engineers. Stressing intuitive explanations and providing detailed proofs of difficult statements, the book offers end-of-chapter exercises with worked numerical examples and a solutions manual—making it ideal for self study. 

Spis treści

What is Monte Carlo Method? What is Network Reliability? Exponentially Distributed Lifetime. Static and Dynamic Reliability. Border States and Reliability Gradient. Order Statistics. Monte Carlo Estimation of Convolutions. Network Destruction. Lomonosov's "Turnip". Importance Measures and Spectrum. Optimal Network Synthesis. Dynamic Networks. Examples of Network Reliability. Appendices. References. Index.

O autorze

Ilya B. Gertsbakh, Professor Emeritus, Department of Mathematics, Ben Gurion University, Beer Sheva, Israel.

Dr. Gertsbakh has authored more than 70 research papers and six books. He has taught courses in Probability, Statistics, Reliability Theory, and Operations Research. His research interests include Reliability Theory, Probabilistic Methods in Operations Research, and Monte Carlo Methods.

Yoseph Shpungin, Department Head, Software Engineering Department, Shamoon College of Engineering, Beer Sheva, Israel.

Throughout his career, Dr. Shpungin has gained extensive experience in both practical and theoretical operations research and software engineering issues. He has taught courses in Probability, Statistics, Reliability, Algorithms, Databases, and Programming Languages. His field of research is Reliability Theory and Monte Carlo Methods, in which he has authored one book and many publications in international scientific journals and in the proceedings of international conferences.