Repository logo
  • English
  • 中文
Log In
Have you forgotten your password?
  1. Home
  2. College of Electrical Engineering and Computer Science / 電機資訊學院
  3. Computer Science and Information Engineering / 資訊工程學系
  4. Optimal Fault Tolerance on Crossed Cube Networks with Conditional Faults
 
  • Details

Optimal Fault Tolerance on Crossed Cube Networks with Conditional Faults

Date Issued
2007
Date
2007
Author(s)
Hung, Hao-Shun
DOI
en-US
URI
http://ntur.lib.ntu.edu.tw//handle/246246/54109
Abstract
Recently, advances in VLSI circuit technology made it possible to build a large parallel and distributed system involving thousands or even tens of thousands of processors. Designing the topology is very important in a parallel and distributed system. Among these networks, the hypercube is a popular interconnection network with many attractive properties. On the other hand, the crossed cube, which is a variation of the hypercube, possesses some properties superior to the hypercube. Since node and/or link faults may occur to networks, it is significant to consider faulty networks. There are two commonly used fault models, i.e., the arbitrary fault model and the conditional fault model. The arbitrary fault model assumes that the faults may occur everywhere without any restriction, whereas the conditional fault model assumes that the distribution of faults must satisfy some properties. In this thesis, we are interesting in fault tolerance of crossed cubes under conditional faults. Assuming that each node is incident with at least two fault-free links, we show that an n-dimensional crossed cube contains a fault-free Hamiltonian cycle, even if there are up to 2n-5 link faults. We further show that an n-dimensional crossed cube contains fault-free cycles of all possible lengths. The result is optimal with respect to the number of link faults tolerated. We also verify that the assumption is practically meaningful by evaluating its probability to occur, which is very close to 1. On the other hand, assuming that each node has at least one fault-free neighbor, we show that an n-dimensional crossed cube has connectivity equal to 2n-2 and (2n-3)-fault diameter equal to [(n+1)/2]+3. All these result shows the fault tolerance of crossed cube is as good as hypercube, under the conditional fault model.
Subjects
條件錯誤
交錯立方體
嵌入環
容錯能力
連結網路
漢米爾頓環
連接度
容錯直徑
conditional fault
crossed cube
cycle embedding
fault tolerance
interconnection
Type
thesis
File(s)
Loading...
Thumbnail Image
Name

ntu-96-D90922001-1.pdf

Size

23.31 KB

Format

Adobe PDF

Checksum

(MD5):418a8506e63cdfead763ac5bc11e049c

臺大位居世界頂尖大學之列,為永久珍藏及向國際展現本校豐碩的研究成果及學術能量,圖書館整合機構典藏(NTUR)與學術庫(AH)不同功能平台,成為臺大學術典藏NTU scholars。期能整合研究能量、促進交流合作、保存學術產出、推廣研究成果。

To permanently archive and promote researcher profiles and scholarly works, Library integrates the services of “NTU Repository” with “Academic Hub” to form NTU Scholars.

總館學科館員 (Main Library)
醫學圖書館學科館員 (Medical Library)
社會科學院辜振甫紀念圖書館學科館員 (Social Sciences Library)

開放取用是從使用者角度提升資訊取用性的社會運動,應用在學術研究上是透過將研究著作公開供使用者自由取閱,以促進學術傳播及因應期刊訂購費用逐年攀升。同時可加速研究發展、提升研究影響力,NTU Scholars即為本校的開放取用典藏(OA Archive)平台。(點選深入了解OA)

  • 請確認所上傳的全文是原創的內容,若該文件包含部分內容的版權非匯入者所有,或由第三方贊助與合作完成,請確認該版權所有者及第三方同意提供此授權。
    Please represent that the submission is your original work, and that you have the right to grant the rights to upload.
  • 若欲上傳已出版的全文電子檔,可使用Open policy finder網站查詢,以確認出版單位之版權政策。
    Please use Open policy finder to find a summary of permissions that are normally given as part of each publisher's copyright transfer agreement.
  • 網站簡介 (Quickstart Guide)
  • 使用手冊 (Instruction Manual)
  • 線上預約服務 (Booking Service)
  • 方案一:臺灣大學計算機中心帳號登入
    (With C&INC Email Account)
  • 方案二:ORCID帳號登入 (With ORCID)
  • 方案一:定期更新ORCID者,以ID匯入 (Search for identifier (ORCID))
  • 方案二:自行建檔 (Default mode Submission)
  • 方案三:學科館員協助匯入 (Email worklist to subject librarians)

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science