THE CONDITIONAL DIAGNOSABILITY OF SHUFFLE-CUBES

Min XU;Xiaodong HU;Songpu SHANG

系统科学与复杂性(英文) ›› 2010, Vol. 23 ›› Issue (1) : 81-090.

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系统科学与复杂性(英文) ›› 2010, Vol. 23 ›› Issue (1) : 81-090. DOI: 10.1007/s11424-010-9271-6
论文

THE CONDITIONAL DIAGNOSABILITY OF SHUFFLE-CUBES

    Min XU(1);Xiaodong HU(2); Songpu SHANG(3)
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THE CONDITIONAL DIAGNOSABILITY OF SHUFFLE-CUBES

    Min XU(1);Xiaodong HU(2); Songpu SHANG(3)
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文章历史 +

摘要

In the application of multiple-processor systems some processors or links in a system may not function properly, thus the fault diagnosis is one of the most important issues in the analysis and maintenance of those systems. For the practical fault diagnosis systems, the probability that all neighboring processors of a processor are faulty simultaneously is very small. Thus, the conditional diagnosability, which is a new metric for evaluating such systems, assumes that every fault set does not contain all neighbors of any processor in the system. In this paper, the authors show that the n-dimensional shuffle-cube has the conditional diagnosability of 4n15 for n2(mod4) and n10.

Abstract

In the application of multiple-processor systems some processors or links in a system may not function properly, thus the fault diagnosis is one of the most important issues in the analysis and maintenance of those systems. For the practical fault diagnosis systems, the probability that all neighboring processors of a processor are faulty simultaneously is very small. Thus, the conditional diagnosability, which is a new metric for evaluating such systems, assumes that every fault set does not contain all neighbors of any processor in the system. In this paper, the authors show that the n-dimensional shuffle-cube has the conditional diagnosability of 4n15 for n2(mod4) and n10.

关键词

Conditional diagnosability / fault diagnosis / shuffle-cubes.

Key words

Conditional diagnosability / fault diagnosis / shuffle-cubes.

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Min XU , Xiaodong HU , Songpu SHANG. THE CONDITIONAL DIAGNOSABILITY OF SHUFFLE-CUBES. 系统科学与复杂性(英文), 2010, 23(1): 81-090 https://doi.org/10.1007/s11424-010-9271-6
Min XU , Xiaodong HU , Songpu SHANG. THE CONDITIONAL DIAGNOSABILITY OF SHUFFLE-CUBES. Journal of Systems Science and Complexity, 2010, 23(1): 81-090 https://doi.org/10.1007/s11424-010-9271-6
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