Models of network reliability : analysis, combinatorics, and Monte Carlo /: analysis, combinatorics, and Monte Carlo. ([2012])

• Record Type: Book
• Further Information: Note: Ilya B. Gertsbakh, Yoseph Shpungin.
• Authors: Gert︠s︡bakh, I. B (Ilʹi︠a︡ Borukhovich); Shpungin, Yoseph
• Contents: Preface; Notation and Abbreviations; What is Monte Carlo Method?; Area Estimation; Optimal Location of Components; Reliability of a Binary System; Statistics: a Short Reminder; What is Network Reliability? ; Introduction; Spanning Trees and Kruskal’s Algorithm; Introduction to Network Reliability; Multistate Networks; Network Reliability Bounds; Exponentially Distributed Lifetime; Characteristic Property of the Exponential Distribution; Exponential Jump Process; Examples; Static and Dynamic Reliability; System Description. Static Reliability; Dynamic Reliability; Stationary Availability; Burtin-Pittel Formula; Pivotal Formula. Reliability Gradient; Reliability Gradient; Definition of Border States; Gradient and Border States; Order Statistics and D-spectrum; Reminder of Basics in Order Statistics; Min-Max Calculus; Destruction Spectrum (D-spectrum); Number of Minimal size Min-Cuts; Monte Carlo of Convolutions; CMC for Calculating Convolutions; Analytic Approach; Conditional Densities and Modified Algorithm; Generating Bm (T); How Large is Variance Reduction Comparing to the CMC?; Importance Sampling in Monte Carlo; Network Destruction; Introduction; Estimation of FN (t) = P(τ* ≤ t); Unreliable Nodes; Identically Distributed Edge Lifetimes; Examples of Using D-spectra; Lomonosov’s "Turnip" ; Introduction; The Turnip; Applications of Turnip; Unreliable Nodes; Importance Measures and Spectrum ; Introduction: Birnbaum Importance Measure; Cumulative Spectrum; BIM and the Cumulative C*-spectrum; BIM and the Invariance Property; Examples; Optimal Network Synthesis ; Introduction to Network Synthesis; "Asymptotic" Synthesis; Synthesis Based on Importance Measures; Dynamic Networks; Introduction: Network Exit Time; Bounds on the Network Exit Time; Examples of Network Reliability; Colbourn & Harms’ Ladder Network; Integrated Communication Network (ICN); Appendix A: O(·) and o(·) symbols; Appendix B: Convolution of exponentials; Appendix C: Glossary of D-spectra; References; Index ; Each chapter includes problems and exercises
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2012
• Copyright Date: 2012
• Extent: 1 online resource (221 pages), illustrations
• Subjects: 621.382/1; Network performance (Telecommunication); Reliability (Engineering) -- Statistical methods; Computer networks -- Reliability; Computer networks -- Reliability; Network performance (Telecommunication); Reliability (Engineering) -- Statistical methods; Electronic books
• Languages: English
• ISBNs: 9781439817421; 1439817421
• Related ISBNs: 9781439817414
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (ebrary, viewed January 23, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.