{"title":"D/布尔在可靠性分析中的应用","authors":"D. Koo","doi":"10.1109/ARMS.1990.67972","DOIUrl":null,"url":null,"abstract":"The disjointed Boolean (D/Boolean) solutions of several complex network reliability problems are presented to demonstrate the power and versatility of D/Boolean algebra. D/Boolean algebra is treated as a probability (rather than Boolean) function. This approach gives a reliability analyst the choice of preserving only the essential logic functions, removing the cumbersome manipulation of unnecessary logics, and efficiently deriving a probability solution of a system. The basic theory of D/Boolean algebra is discussed. It illustrates how a reliability solution of a moderately complex system (which may include a number of statistically dependent and independent circuits and/or the mixtures of sequential and combinatorial reliabilities) can be solved manually without complex computer algorithms.<<ETX>>","PeriodicalId":383597,"journal":{"name":"Annual Proceedings on Reliability and Maintainability Symposium","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"D/Boolean application in reliability analysis\",\"authors\":\"D. Koo\",\"doi\":\"10.1109/ARMS.1990.67972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The disjointed Boolean (D/Boolean) solutions of several complex network reliability problems are presented to demonstrate the power and versatility of D/Boolean algebra. D/Boolean algebra is treated as a probability (rather than Boolean) function. This approach gives a reliability analyst the choice of preserving only the essential logic functions, removing the cumbersome manipulation of unnecessary logics, and efficiently deriving a probability solution of a system. The basic theory of D/Boolean algebra is discussed. It illustrates how a reliability solution of a moderately complex system (which may include a number of statistically dependent and independent circuits and/or the mixtures of sequential and combinatorial reliabilities) can be solved manually without complex computer algorithms.<<ETX>>\",\"PeriodicalId\":383597,\"journal\":{\"name\":\"Annual Proceedings on Reliability and Maintainability Symposium\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annual Proceedings on Reliability and Maintainability Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARMS.1990.67972\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Proceedings on Reliability and Maintainability Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARMS.1990.67972","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The disjointed Boolean (D/Boolean) solutions of several complex network reliability problems are presented to demonstrate the power and versatility of D/Boolean algebra. D/Boolean algebra is treated as a probability (rather than Boolean) function. This approach gives a reliability analyst the choice of preserving only the essential logic functions, removing the cumbersome manipulation of unnecessary logics, and efficiently deriving a probability solution of a system. The basic theory of D/Boolean algebra is discussed. It illustrates how a reliability solution of a moderately complex system (which may include a number of statistically dependent and independent circuits and/or the mixtures of sequential and combinatorial reliabilities) can be solved manually without complex computer algorithms.<>
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