Network reliability and resilience
by Gert︠s︡bakh, I. B., (Ilʹi︠a︡ Borukhovich)
This book is devoted to the probabilistic description of a network in the process of its destruction, i.e. removal of its components (links, nodes) appearing as a result of technical failures, natural disasters or intentional attacks . It is focused on a practical approach to network reliability, based on application of Monte Carlo methodology to numerical evaluation of network most important structural parameters. This allows to obtain a probabilistic description of the network in the process …
Read More ↓Title Statements
- Full title :Network reliability and resilience / Ilya Gertsbakh, Yoseph Shpungin.
Summary
This book is devoted to the probabilistic description of a network in the process of its destruction, i.e. removal of its components (links, nodes) appearing as a result of technical failures, natural disasters or intentional attacks . It is focused on a practical approach to network reliability, based on application of Monte Carlo methodology to numerical evaluation of network most important structural parameters. This allows to obtain a probabilistic description of the network in the process of its destruction, to identify most important network components and to develop efficient heuristic algorithms for network optimal design. The methodology works with satisfactory accuracy and efficiency for small -to-medium size networks.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Heidelberg
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xii, 75 pages)
Edition Identifiers
- ISBN:9783642223747, 3642223745
- DOI:10.1007/978-3-642-22374-7
- oclc:ocn756757176
- LC Classification:TK5105.5956
- Dewey Decimal:004.6
Table of Contents
Network Reliability and Resilience; Preface; References; Contents; Notation and Abbreviations; 1 Theory; 1.1 Graphs, Networks, Terminals, Structure Function; 1.2 Network Reliability; 1.2.1 Binary Networks with Independent Binary Components; 1.2.2 Network Components with Independent Lifetimes; 1.2.3 Concluding Remarks: Network Resilience; 1.3 D-Spectra; 1.3.1 Introduction; 1.3.2 D-Spectrum of a Single-Step Network; 1.3.3 Formula for Network DOWN Probability; 1.3.4 Networks with Many States; 1.3.5 D-Spectrum and Signature; 1.3.6 Renewal Process of Component Failures
1.4 Series, Parallel and Recurrent Systems1.4.1 Spectra of Parallel, Series and Recurrent Networks; 1.4.2 Generalized Series and Parallel Multistate Systems; 1.5 Networks with Colored Links; 1.6 Network Component Importance; 1.6.1 Birnbaum Measure of Component Importance; 1.6.2 BIM-Spectrum; 1.6.3 BIMs for Network with Several States; 1.6.4 Joint Reliability Importance; 1.7 Reliability Gradient; 1.7.1 Border States. Evolution Process; 1.7.2 Gradient Formula; 1.8 Basic Monte Carlo Algorithms; 1.8.1 Testing the Network Terminal Connectivity
1.8.2 Estimating the D-Spectra and Component Importance1.8.3 Estimating the Gradi…
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