首页|The t/s-Diagnosability and Diagnostic Strategy of Balanced Hypercube Under Two Classic Diagnostic Models

The t/s-Diagnosability and Diagnostic Strategy of Balanced Hypercube Under Two Classic Diagnostic Models

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Fault diagnosis plays a crucial role in the fault tolerability assessment of an interconnection network,which is of great value in the design and maintenance of large-scale multiprocessor systems.A t/s-diagnostic strategy,as the generalization of the t/t-diagnostic strategy,refers to the self-diagnosis of a multiprocessor system in which all faulty ver-tices can be identified in a set of size at most s in the presence of at most t faulty vertices.In this work,we show that the balanced hypercube BHn(n ≥ 4)is((2n+1)「g/2(])-「g/2(])2)/((2n+1)「g/2(])-「g/2(])2+(g-2))-diagnosable under both the Preparata,Metze,and Chien(PMC)and MM*models for 4≤「g/2(])≤n.Moreover,we propose two effective t/s-diagnosis algorithms under the PMC and MM*models with time complexity O(NlogN)and O(N(logN)2)(N=22n is the order of BHn),respectively.Finally,comparison results indicate that t/s-diagnosability strengthens the self-diag-nosable capability of the system compared with traditional diagnosabilities.

fault diagnosist/s-diagnosabilityt/s-diagnosis algorithmbalanced hypercube

柳晓青、周书明、Eddie Cheng、张红

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College of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China

Center for Applied Mathematics of Fujian Province,Fujian Normal University,Fuzhou 350117,China

Department of Mathematics and Statistics,Oakland University,Rochester,MI 48309,U.S.A.

2024

计算机科学技术学报(英文版)
中国计算机学会

计算机科学技术学报(英文版)

CSTPCD
影响因子:0.432
ISSN:1000-9000
年,卷(期):2024.39(5)