Framework for Clique-based Fusion of Graph Streams in Multi-function System Testing

TL;DR

This paper introduces a framework for analyzing multi-function system tests by modeling system components and functions as colored graphs, focusing on clique structures and their dynamics to reveal potential system faults.

Contribution

It presents a novel graph-based approach for fusion and analysis of system testing data, emphasizing clique and quasi-clique structures in integrated function graphs.

Findings

Effective detection of fault-prone subgraphs.

Analysis of dynamic clique existence over time.

Numerical examples demonstrating the approach.

Abstract

The paper describes a framework for multi-function system testing. Multi-function system testing is considered as fusion (or revelation) of clique-like structures. The following sets are considered: (i) subsystems (system parts or units / components / modules), (ii) system functions and a subset of system components for each system function, and (iii) function clusters (some groups of system functions which are used jointly). Test procedures (as units testing) are used for each subsystem. The procedures lead to an ordinal result (states, colors) for each component, e.g., [1,2,3,4] (where 1 corresponds to 'out of service', 2 corresponds to 'major faults', 3 corresponds to 'minor faults', 4 corresponds to 'trouble free service'). Thus, for each system function a graph over corresponding system components is examined while taking into account ordinal estimates/colors of the components. Further, an integrated graph (i.e., colored graph) for each function cluster is considered (this graph integrates the graphs for corresponding system functions). For the integrated graph (for each function cluster) structure revelation problems are under examination (revelation of some subgraphs which can lead to system faults): (1) revelation of clique and quasi-clique (by vertices at level 1, 2, etc.; by edges/interconnection existence) and (2) dynamical problems (when vertex colors are functions of time) are studied as well: existence of a time interval when clique or quasi-clique can exist. Numerical examples illustrate the approach and problems.