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{ "item_title" : "Probability Theory, Mathematical Statistics, and Theoretical Cybernetics", "item_author" : [" R. V. Gamkrelidze "], "item_description" : "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 .", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/46/848/081/1468480812_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Probability Theory, Mathematical Statistics, and Theoretical Cybernetics|R. V. Gamkrelidze

Probability Theory, Mathematical Statistics, and Theoretical Cybernetics

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Overview

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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Details

  • ISBN-13: 9781468480818
  • ISBN-10: 1468480812
  • Publisher: Springer
  • Publish Date: December 2012
  • Dimensions: 9 x 6 x 0.25 inches
  • Shipping Weight: 0.38 pounds
  • Page Count: 110

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