Probability Theory, Mathematical Statistics, and Theoretical Cybernetics

Gamkrelidze R. V.

ISBN 10: 1468480812 / ISBN 13: 9781468480818

Published by Springer, 2012

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Print on Demand pp. 120 23:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on White w/Gloss Lam.

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Bibliographic Details

• Title: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 1468480812
• ISBN 13: 9781468480818
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This work is a continuation of earlier volumes under the heading "Probability Theory, Mathematical Statistics, and Theo- retical Cybernetics," published as part of the "Itogi Nauki" series. The present volume comprises a single review article, en- titled "Reliability of Discrete Systems," covering material pub- lished mainly in the last six to eight years and abstracted in "Referativnyi Zhurnal-Matematika" (Soviet Abstract Journal in Mathematics). The bibliography encompasses 313 items. The editors welcome inquiries regarding the present volume or the format and content of future volumes of the series; corre- spondence should be sent to the following address: Otdel Matemat- ika (Mathematics Section), Baltiiskaya ul., 14, Moscow, A-219. v Contents RELIABILITY OF DISCRETE SYSTEMS M. A. Gavrilov, V. M. Ostianu, and A. I. Potekhin Introduction . . . . . . . . . . . . . . - . . . . . - . . . .. . . 1 . . . . . . CHAPTER 1. Assurance of Infallibility in Discrete Systems........ . . . . . . . . .. . . . 5 1. State of the Art .-.......-.................. 5 2. Basic Definitions, Concepts, and Problem Formulations.. 6 3. Redundancy Models. . . . . . . . . . . . . . . . . . -. . . 10 . - . . 4. Composition Methods ........................ 17 5. Majority Methods . . . . . . . . . . . . . . . . . . . -. . . 27 . . . . 6. Methods Using the Interweaving Model. . . . . . . . . .. . . 35 7. Methods Using Effective-Coding Models. . . . . . . . .. . . 38 CHAPTER II. Assurance of Stability in Discrete System s. . . . . . . . . . . . . . . . . . . . . .. . . 63 . . . . . 1. Basic Concepts and Definitions . . . . . . . . . . . . .. . . 63 . . 2. Elimination of Inadmissible I-Races. . . . . . . . . . .. . . 69 . 3. Elimination of Inadmissible E-Races . . . . . . . . . .. . . 70 . 4. Elimination of Inadmissible M-Races . . . . . . . . . .. . . 73 . 5. Elimination of Inadmissible L-Races . . . . . . . . . .. . . 86 .