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Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo
 
 
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Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo [Hardcover]

Ilya B. Gertsbakh , Yoseph Shpungin

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Review

The 13 chapters and three appendixes make the material accessible to readers with a basic background in reliability. … Formal proofs are minimally presented, the methods are widely supported by examples and exercises, and guidelines for developing computer programs are provided.
—Ron S. Kenett, KPA, Raanana, Israel, in Quality Progress

… a concise and compact book on the subject of how to compute k-terminal reliability of a given communication network, where the edges or links can fail. … To make a beginner understand the subject matter, the treatment in a chapter starts with examples and leads a reader to the definitions and theorems that are incidental to the explanation of an approach. ... helps in understanding the intricacies involved in the problem of computing network reliability. The concept of spanning trees is used to ensure connectivity of nodes of interest. Other measures of interest in reliability of networks such as component criticality and Birnbaum Importance are also discussed … students and teachers pursuing reliability of communication reliability will find this book of interest. …very useful for reliability engineers and those dealing with design of communication networks … .
—Krishna B. Misra, in Performability Engineering, May 2011, Vol. 7, No. 3

Product Description

Unique in its approach, Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo provides a brief introduction to Monte Carlo methods along with a concise exposition of reliability theory ideas. From there, the text investigates a collection of principal network reliability models, such as terminal connectivity for networks with unreliable edges and/or nodes, network lifetime distribution in the process of its destruction, network stationary behavior for renewable components, importance measures of network elements, reliability gradient, and network optimal reliability synthesis.

Solutions to most principal network reliability problems—including medium sized computer networks—are presented in the form of efficient Monte Carlo algorithms and illustrated with numerical examples and tables. Written by reliability experts with significant teaching experience, this reader-friendly text is an excellent resource for software engineering, operations research, industrial engineering, and reliability engineering students, researchers, and engineers.

Stressing intuitive explanations and providing detailed proofs of difficult statements, this self-contained resource includes a wealth of end-of-chapter exercises, numerical examples, tables, and offers a solutions manual—making it ideal for self-study and practical use.


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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Amazon.com:  2 reviews
Textbook on Network Reliability 19 Dec 2010
By Alexander Frenkel - Published on Amazon.com
Format:Hardcover
This book presents the basic knowledge in the field of Network Reliability and may be considered as a general textbook. The book contains both the known traditional issues and some new materials from original papers of the authors published last time.
It may be very useful for many categories of readers: scientists, engineers and students.
The main definitions and problem formulations related to the network reliability evaluation are presented in the book as well as basic mathematical tools that are needed. From this point of view the book is self-contained: a reader can study it without any additional material. The authors have found very successful form of the presentation: on one hand all issues in the book are presented very clearly with detailed explanations and on the other hand the presentation maintains high mathematical level.
The first three chapters contain an introduction to the basic notions in Monte-Carlo Simulation, Network Reliability and Exponential Distribution. Further chapters present the state-of-the-art knowledge in the network reliability. It worth mentioning that the notion of spectrum in relation to the network reliability is introduced and some applications of the spectrum approach are presented in this book for the first time.
The book contains some interesting examples of the network reliability computation that can be useful for practitioners.
Of course, due to the problem complexity it is not surprising that some of recent results in the field remain out of the book's scope. But in any case the book can be very helpful for postgraduate and Ph.D. students as well as for researchers and engineers.

Dr. Anatoly Lisnianski, Dr. Gregory Levitin
The Israel Electric Corporation Ltd., Israel
Dr. Ilia Frenkel
Sami Shamoon College of Engineerin, Israel
0 of 1 people found the following review helpful
Needs to be translated. 2 Dec 2010
By Edward Moran - Published on Amazon.com
Format:Hardcover
This book would have benefited from careful proofreading by a native English speaker. I should have been warned by the title of Chapter 1, i.e "What is Monte Carlo Method". The missing definite article in many sentences, such as: "We use notation "up" and "down"...", becomes extremely irritating after the first fifty or so examples. It's like listening to the responses in a very, very long episode of Jeopardy.

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