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As the size of a multiprocessor system increases, processor failure is inevitable, and fault identification in such a system is crucial for reliable computing. The fault diagnosis is the process of identifying faulty processors in a…

Combinatorics · Mathematics 2012-04-20 Shuming Zhou , Jian Wang , Xirong Xu , Jun-Ming Xu

The conditional diagnosability and the 2-extra connectivity are two important parameters to measure ability of diagnosing faulty processors and fault-tolerance in a multiprocessor system. The conditional diagnosability $t_c(G)$ of $G$ is…

Combinatorics · Mathematics 2015-08-11 Rong-Xia Hao , Zeng-Xian Tian , Jun-Ming Xu

The processor failures in a multiprocessor system have a negative impact on its distributed computing efficiency. Because of the rapid expansion of multiprocessor systems, the importance of fault diagnosis is becoming increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-16 Hongbin Zhuang , Wenzhong Guo , Xiaoyan Li , Ximeng Liu , Cheng-Kuan Lin

Zhu et al. [Theoret. Comput. Sci. 758 (2019) 1--8] introduced the $h$-edge tolerable diagnosability to measure the fault diagnosis capability of a multiprocessor system with faulty links. This kind of diagnosability is a generalization of…

Combinatorics · Mathematics 2020-12-22 Yulong Wei , Rong-hua Li , Weihua Yang

Complex systems often exhibit unexpected faults that are difficult to handle. Such systems are desirable to be diagnosable, i.e. faults can be automatically detected as they occur (or shortly afterwards), enabling the system to handle the…

Software Engineering · Computer Science 2015-02-27 Hernán Ponce de León , Gonzalo Bonigo , Laura Brandán Briones

The data center networks $D_{n,k}$, proposed in 2008, has many desirable features such as high network capacity. A kind of generalization of diagnosability for network $G$ is $g$-good-neighbor diagnosability which is denoted by $t_g(G)$.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-02 Mei-Mei Gu , Rong-Xia Hao , Shuming Zhou

System level diagnosis is an important approach for the fault diagnosis of multiprocessor systems. In system level diagnosis, diagnosability is an important measure of the diagnosis capability of interconnection networks. But as a measure,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-19 Qiang Zhu , Lili Li , Sanyang Liu , Xing Zhang

This work proposes to put up a tool for diagnosing multi faults based on model using techniques of detection and localization inspired from the community of artificial intelligence and that of automatic. The diagnostic procedure to be…

Systems and Control · Computer Science 2012-03-27 Imtiez Fliss , Moncef Tagina

Fault diagnosis is the problem of determining a set of faulty system components that explain discrepancies between observed and expected behavior. Due to the intrinsic relation between observations and sensors placed on a system, sensors'…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

Distributed Systems involve two or more computer systems which may be situated at geographically distinct locations and are connected by a communication network. Due to failures in the communication link, faults arise which may make the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-20 Poorva Kulkarni , Varsha Deshpande , Latika Sarna , Sumedha Shenolikar , Supriya Kelkar

The $g$-good-neighbor conditional diagnosability is a new measure for fault diagnosis of systems. Xu et al. [Theor. Comput. Sci. 659 (2017) 53--63] determined the $g$-good-neighbor conditional diagnosability of $(n, k)$-star networks $S_{n,…

Combinatorics · Mathematics 2017-03-23 Yulong Wei , Min Xu

Extra connectivity and the pessimistic diagnosis are two crucial subjects for a multiprocessor system's ability to tolerate and diagnose faulty processor. The pessimistic diagnosis strategy is a classic strategy based on the PMC model in…

Combinatorics · Mathematics 2017-01-31 Mei-Mei Gu , Rong-Xia Hao , Jun-Ming Xu , Yan-Quan Feng

We study a new and stronger notion of fault-tolerant graph structures whose size bounds depend on the degree of the failing edge set, rather than the total number of faults. For a subset of faulty edges $F \subseteq G$, the faulty-degree…

Data Structures and Algorithms · Computer Science 2023-09-14 Greg Bodwin , Bernhard Haeupler , Merav Parter

The largest balanced element in signed graphs plays a vital role in helping researchers understand the fundamental structure of the graph, as it reveals valuable information about the complex relationships between vertices in the network.…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

With the increasing complexity of industrial production systems, accurate fault diagnosis is essential to ensure safe and efficient system operation. However, due to changes in production demands, dynamic process adjustments, and complex…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Pengyu Han , Zeyi Liu , Xiao He , Steven X. Ding , Donghua Zhou

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

Software Engineering · Computer Science 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

Fault detection has a long tradition: the necessity to provide the most accurate diagnosis possible for a process plant criticality is somehow intrinsic in its functioning. Continuous monitoring is a possible way for early detection.…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Martina Teruzzi , Nicola Demo , Gianluigi Rozza

In this paper, we study diagnosabilities of multiprocessor systems under two diagnosis models: the PMC model and the comparison model. In each model, we further consider two different diagnosis strategies: the precise diagnosis strategy…

Networking and Internet Architecture · Computer Science 2007-05-23 Guey-Yun Chang , Gerard J. Chang , Gen-Huey Chen

In the modern world, we are permanently using, leveraging, interacting with, and relying upon systems of ever higher sophistication, ranging from our cars, recommender systems in e-commerce, and networks when we go online, to integrated…

Artificial Intelligence · Computer Science 2023-06-23 Patrick Rodler

The growing complexity of machinery and the increasing demand for operational efficiency and safety have driven the development of advanced fault diagnosis techniques. Among these, convolutional neural networks (CNNs) have emerged as a…

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