A new locally t-diagnosable structure under the PMC model with an application to matching composition networks

IF 1 3区 数学 Q3 MATHEMATICS, APPLIED
Meirun Chen , Cheng-Kuan Lin , Kung-Jui Pai
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引用次数: 0

Abstract

The PMC model is the test-based diagnosis in which a node performs the diagnosis by testing the neighbor nodes via the links between them. If we concentrate on the status of some nodes then instead of doing the global test, Hsu and Tan proposed the concept of local diagnosis and two structures to diagnose a node under the PMC model. To better evaluate the local diagnosability of a node, we propose a new structure and the related algorithm to diagnose a node under the PMC model in this paper. Applying the two structures proposed by Hsu and Tan, and the new structure we propose in this paper, we determine the accurate value of the local diagnosability of each node in matching composition networks. Simulation results are presented, showing the performance of our algorithm. It shows that even if the failure probability of a node is 0.4, our algorithm can still determine the state of a node with the accuracy above 0.9.
PMC模型下一种新的局部t可诊断结构及其在匹配组合网络中的应用
PMC模型是基于测试的诊断,其中节点通过邻居节点之间的链接测试邻居节点来执行诊断。Hsu和Tan在PMC模型下提出了局部诊断的概念和两种结构来诊断一个节点,如果我们只关注某些节点的状态,而不是做全局测试。为了更好地评估节点的局部可诊断性,本文提出了一种新的PMC模型下的节点诊断结构和相关算法。应用Hsu和Tan提出的两种结构和本文提出的新结构,我们确定了匹配组合网络中每个节点的局部可诊断性的准确值。仿真结果表明了算法的有效性。结果表明,即使节点的故障概率为0.4,我们的算法仍然可以以高于0.9的精度确定节点的状态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Discrete Applied Mathematics
Discrete Applied Mathematics 数学-应用数学
CiteScore
2.30
自引率
9.10%
发文量
422
审稿时长
4.5 months
期刊介绍: The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.
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