分层超立方网络的可靠性评估

刘西蒙; 张郁芳; 周书明; 李小燕

doi:10.11959/j.issn.1000-436x.2021064

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分层超立方网络的可靠性评估

学术论文 | 更新时间：2024-06-05

- 分层超立方网络的可靠性评估
- Reliability evaluation of hierarchical hypercube network
- 通信学报 2021年42卷第3期页码：111-121
- 作者机构：
  
  1. 福州大学数学与计算机科学学院，福建福州 350108
  2. 福州大学网络安全福建省高校重点实验室，福建福州 350108
  3. 福建师范大学数学与信息学院，福建福州 350007
- 作者简介：
  
  [ "刘西蒙（1988- ），男，陕西西安人，博士，福州大学研究员，主要研究方向为隐私计算、密文数据挖掘、大数据隐私保护、可搜索加密等。" ]
  [ "张郁芳（1997- ），女，湖南岳阳人，福州大学硕士生，主要研究方向为互连网络的故障诊断、网络安全等。" ]
  [ "周书明（1972- ），男，湖北麻城人，博士，福建师范大学教授，主要研究方向为图论与网络优化、并行分布式计算、故障诊断及检测、容错计算等。" ]
  [ "李小燕（1989- ），女，福建福州人，博士，福州大学讲师，主要研究方向为数据中心网络、网络安全、算法设计与分析等。" ]
- 基金信息：
  
  国家自然科学基金资助项目(62002062);国家自然科学基金资助项目(62072109);福建省教育厅中青年教师教育科研基金资助项目(JAT190031)
- DOI：10.11959/j.issn.1000-436x.2021064
  中图分类号： TP301
- 网络出版日期：2021-03，
  
  纸质出版日期：2021-03-25
- 稿件说明：
移动端阅览
刘西蒙, 张郁芳, 周书明, 等. 分层超立方网络的可靠性评估[J]. 通信学报, 2021,42(3):111-121.

Ximeng LIU, Yufang ZHANG, Shuming ZHOU, et al. Reliability evaluation of hierarchical hypercube network[J]. Journal on communications, 2021, 42(3): 111-121.
刘西蒙, 张郁芳, 周书明, 等. 分层超立方网络的可靠性评估[J]. 通信学报, 2021,42(3):111-121. DOI： 10.11959/j.issn.1000-436x.2021064.

Ximeng LIU, Yufang ZHANG, Shuming ZHOU, et al. Reliability evaluation of hierarchical hypercube network[J]. Journal on communications, 2021, 42(3): 111-121. DOI： 10.11959/j.issn.1000-436x.2021064.

摘要

针对目前关于分层超立方网络的可靠性研究不够系统，严重制约了其应用和推广的问题，以分层超立方网络为研究对象，在得到分层超立方网络相关拓扑性质的基础上，通过理论推导得到了n维分层超立方（HHC

）在PMC模型和MM*模型下的h-额外条件诊断度和t/s-诊断度。此外，设计了HHC

在PMC模型和MM*模型下的t/s-诊断算法，并分析了其时间复杂度。研究结果表明，HHC

的h-额外条件诊断度是其传统诊断度的约h+1倍， t/s-诊断度是其传统诊断度约 s+1 倍。该结果进一步完善了分层超立方网络的可靠性指标，为其应用和推广提供了重要的理论依据。

Abstract

Aiming at the problem that the reliability research on hierarchical hypercube networks was not yet systematic

which severely restricted its application and popularization

the hierarchical hypercube network was taken as studying object

on the basis of obtaining the relevant topological properties of the hierarchical hypercube network

the h-extra conditional diagnosability and t/s-diagnosability of the n-dimension hierarchical hypercube (HHC

) network under the PMC model and MM* model were obtained by theoretical deduction.In addition

the t/s-diagnosis algorithm of HHC

under the PMC model and MM* model was designed and its time complexity was analyzed.The research results show that

the h-extra conditional diagnosability of HHC

is about h+1 times of its traditional diagnosability

and the t/s-diagnosability of HHC

is about s+1 times of its traditional diagnosability.Those results improve the reliability index of the hierarchical hypercube network and provide an important theoretical basis for its application and popularization.

关键词

Keywords

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