Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 6
1790-1793

Research on t/k-diagnosability of 3-ary n-cube networks

Yin Wen
Liang Jiarong
School of Computer & Electronic Information, Guangxi University, Nanning 530004, China
DOI: 10.19734/j.issn.1001-3695.2020.07.0175

Abstract

Diagnosability is a key indicator for evaluating the reliability of multiprocessor systems. The t/k diagnosis strategy greatly improves the diagnosability of the system by allowing at most k fault-free processors to be misdiagnosed as faulty processors. Compared with t-diagnosability and t1/t1-diagnosability, t/k-diagnosability can better reflect the fault modes of a practical system. The 3-ary n-cube is a significant and common network topology, which is used as the underlying network in the construction of many distributed memory multiprocessors. According to some lemmas and the sufficient condition, this paper determined that a system was t/k-diagnosable, when n≥3 and 0≤k≤n, the 3-ary n-cube was tk, n/k-diagnosable, where tk,n=2(k+1) n-(k+1)(k+2). This result shows that when choosing an appropriate value of k, the t/k-diagnosability tk, n of 3-ary n-cube is much greater than its t-diagnosability 2n and t1/t1-diagnosability 4n-3.

Foundation Support

国家自然科学基金资助项目(61862003,61761006)
广西自然科学基金资助项目(2018GXNSFDA281052)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2020.07.0175
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 6
Section: Algorithm Research & Explore
Pages: 1790-1793
Serial Number: 1001-3695(2021)06-035-1790-04

Publish History

[2021-06-05] Printed Article

Cite This Article

殷文, 梁家荣. 3元n立方体网络的t/k可诊断度研究 [J]. 计算机应用研究, 2021, 38 (6): 1790-1793. (Yin Wen, Liang Jiarong. Research on t/k-diagnosability of 3-ary n-cube networks [J]. Application Research of Computers, 2021, 38 (6): 1790-1793. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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