FFNLFD: Fault Diagnosis of Multiprocessor Systems at Local Node With Fault-Free Neighbors Under PMC Model and MM* Model

Fault diagnosability is utilized as a significant measure that reflects the reliability of a multiprocessor system. However, people frequently pay close attention to the entire system's diagnosability while ignoring the system's important local information. The m-fault-free-neighbor local fault diagnosability (for short, m-FFNLFD) is a novel indicator, which describes the diagnosability of a system at a local node with m fault-free neighbors. In this paper, we propose the m-FFNLFD of general networks at local node under the Preparata Metze Chien model. Moreover, we also characterize some important properties of m-FFNLFD of a multiprocessor system under the comparison model. Furthermore, we apply our proposed conclusions to directly obtain the m-FFNLFD of 11 well-known networks under PMC-M and MM*-M, including hypercubes, locally twisted cubes, k-ary n-cubes, crossed cubes, twisted hypercubes, exchanged hypercubes, star graphs, (n, k)-star graphs, (n, k)-arrangement graphs, data center network DCells and BCDCs. Finally, we compare the m-FFNLFD with both diagnosability and conditional diagnosability, and it is shown that the m-FFNLFD is greater than all the other fault diagnosabilities.

Automated summary

In this paper, a novel indicator called m-FFNLFD is proposed to describe the diagnosability of a multiprocessor system at a local node, and its properties and applications are studied under different network models.