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Optimal fault-tolerant routing algorithm and fault-tolerant diameter in directed double-loop networks

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Title: Optimal fault-tolerant routing algorithm and fault-tolerant diameter in directed double-loop networks
Authors: Chen, Yebin1 cyb7102@163.com, Li, Ying2, Chen, Tao1
Source: Theoretical Computer Science. Jan2013, Vol. 468, p50-58. 9p.
Subjects: Fault tolerance (Engineering), Ring networks, Reliability in engineering, Directed graphs, Routing algorithms, Numerical solutions to equations
Abstract: Abstract: This paper addresses the reliability of directed double-loop networks , and studies the problems about optimal fault-tolerant routing, fault-tolerant diameter, etc., in . Firstly, we study the shapes of the L-shaped tiles which are the minimum distance diagram of directed double-loop networks; we divide them into four types. There are different parameters for each type. According to the solutions to the congruence equation, then we study the distributions of the optimal equivalent nodes for different destination nodes, and present an optimal fault-tolerant routing algorithm and a formula computing the fault-tolerant diameter. Finally, we prove that there is a lower bound for fault-tolerant diameter, and show that there may be lots of double optimal directed double-loop networks in some infinite clusters of . According to the proposed fault-tolerant routing algorithm, the reliability and transmission performance will be optimal when some faults occur in . [Copyright &y& Elsevier]
Copyright of Theoretical Computer Science is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 84553660
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PubType: Academic Journal
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  Data: <searchLink fieldCode="JN" term="%22Theoretical+Computer+Science%22">Theoretical Computer Science</searchLink>. Jan2013, Vol. 468, p50-58. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Fault+tolerance+%28Engineering%29%22">Fault tolerance (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Ring+networks%22">Ring networks</searchLink><br /><searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Routing+algorithms%22">Routing algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+equations%22">Numerical solutions to equations</searchLink>
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  Data: Abstract: This paper addresses the reliability of directed double-loop networks , and studies the problems about optimal fault-tolerant routing, fault-tolerant diameter, etc., in . Firstly, we study the shapes of the L-shaped tiles which are the minimum distance diagram of directed double-loop networks; we divide them into four types. There are different parameters for each type. According to the solutions to the congruence equation, then we study the distributions of the optimal equivalent nodes for different destination nodes, and present an optimal fault-tolerant routing algorithm and a formula computing the fault-tolerant diameter. Finally, we prove that there is a lower bound for fault-tolerant diameter, and show that there may be lots of double optimal directed double-loop networks in some infinite clusters of . According to the proposed fault-tolerant routing algorithm, the reliability and transmission performance will be optimal when some faults occur in . [Copyright &y& Elsevier]
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  Data: <i>Copyright of Theoretical Computer Science is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.tcs.2012.11.008
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 50
    Subjects:
      – SubjectFull: Fault tolerance (Engineering)
        Type: general
      – SubjectFull: Ring networks
        Type: general
      – SubjectFull: Reliability in engineering
        Type: general
      – SubjectFull: Directed graphs
        Type: general
      – SubjectFull: Routing algorithms
        Type: general
      – SubjectFull: Numerical solutions to equations
        Type: general
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      – TitleFull: Optimal fault-tolerant routing algorithm and fault-tolerant diameter in directed double-loop networks
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            NameFull: Li, Ying
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              M: 01
              Text: Jan2013
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              Y: 2013
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              Value: 468
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