It/I/Ik/I-Diagnosability of Regular Networks under the Comparison Model

• Published in: Sensors (Basel, Switzerland) Vol. 24; no. 7
• Main Authors: Liang, Jiarong, Xiao, Mengdie, Lin, Zhi, Li, Changzhen
• Format: Journal Article
• Language: English
• Published: MDPI AG 01.04.2024
• Subjects: Analysis; Multiprocessing
• ISSN: 1424-8220; 1424-8220
• DOI: 10.3390/s24072303

As multiprocessor systems continue to grow in processor scale, the incidence of faults also increases. As a result, fault diagnosis is becoming a key mechanism for maintaining the normal operation of multiprocessor systems. To explore more effective diagnostic methods, Somani et al. introduced a generalized pessimistic diagnostic strategy, named t/k-diagnosis, in which all faulty nodes are isolated in a set of nodes and at most k fault-free nodes are misdiagnosed, provided that the quantity of faults is limited by t. By imposing certain conditions or restrictions, the t/k-diagnosability of some regular networks under the Preparata, Metze, and Chien (PMC) model has been determined. However, the t/k-diagnosability of many networks under the comparison model remains unidentified. In this paper, we provide new insights into the study of t/k-diagnosability under the comparison model. After introducing some new notions, such as the 0-test unit, 0-test set and 0-test subgraph, under the comparison model, we study the relationship in a system G between the 0-test subgraphs and the components of G−F, where F is the set of faulty nodes, and we obtain some important correlation properties. Based on these results, we study t/k-diagnosability under the comparison model. As a result, the t/k-diagnosability of some regular interconnection networks can be efficiently determined.