{"title":"On hypercube reliability","authors":"S. Rai","doi":"10.1109/SSST.1990.138163","DOIUrl":null,"url":null,"abstract":"Techniques for generating approximate measures for terminal and network reliability in a hypercube architecture are described. First, the author considers the total number of s-t paths of cardinability H(s,t) and H(s,t)+2, where H(s,t) represents the Hamming distance between source s and terminal t, and generates a bound on terminal reliability. Various theorems which help arrive at the solution are stated and proved. Second, utilizing the concept of degree matrix (for B/sub n/), the author presents a method to obtain the total number of spanning trees in B/sub n/ and hence an approximate measure for network reliability.<<ETX>>","PeriodicalId":201543,"journal":{"name":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","volume":"670 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1990.138163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Techniques for generating approximate measures for terminal and network reliability in a hypercube architecture are described. First, the author considers the total number of s-t paths of cardinability H(s,t) and H(s,t)+2, where H(s,t) represents the Hamming distance between source s and terminal t, and generates a bound on terminal reliability. Various theorems which help arrive at the solution are stated and proved. Second, utilizing the concept of degree matrix (for B/sub n/), the author presents a method to obtain the total number of spanning trees in B/sub n/ and hence an approximate measure for network reliability.<>
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