Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
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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 s...
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 .
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