### Abstract

This paper presents a framework to quantify failure
propagation potential for complex, cyber-physical systems
(CCPSs) during the conceptual stages of design. This
method is referred to as the Function Failure Propagation
Potential Methodology (FFPPM). This research is motivated
by recent trends in engineering design. As systems become
increasingly connected, an open area of research for
CCPSs is to move reliability and failure assessments
earlier in the engineering design process. This allows
practitioners to make decisions at a point in the design
process where the decision has a high impact and a low
cost. Standard methods are limited by the availability of
data and often rely on detailed representations of the
system. As such, they have not addressed failure
propagation in the functional design prior to selecting
candidate architectures. To develop the metrics, graph
theory is used to model and quantify the connectedness of
the functional block diagram (FBD). These metrics
quantify (1) the summation of the reachability matrix and
(2) the summation of the number of paths between nodes
(functions within system models) i and j for all i and j.
From a practical standpoint, these metrics quantify the
reachability between functions in the graph and the
number of paths between functions defines the failure
propagation potential of that failure. The unique
contribution of this research is to quantify failure
propagation potential during conceptual design prior to
selecting candidate architectures. The goal of these
metrics is to produce derived system requirements, based
on an analysis, that focus on minimizing the impact of
failures.

Original language | English |
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Pages (from-to) | 1734-1748 |

Journal | INCOSE International Symposium |

Volume | 27 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2017 |

MoE publication type | A1 Journal article-refereed |

Event | INCOSE 2017 - Adelaide, Australia Duration: 15 Jul 2017 → 20 Jul 2017 |

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## Cite this

O'Halloran, B. M., Papakonstantinou, N., Giammarco, K., & Bossuyt, D. L. V. (2017). A Graph Theory Approach to Functional Failure Propagation in Early Complex Cyber-Physical Systems (CCPSs).

*INCOSE International Symposium*,*27*(1), 1734-1748. https://doi.org/10.1002/j.2334-5837.2017.00459.x