A novel reliability redundancy allocation problem formulation for complex systems

doi:10.1016/j.ress.2023.109471

A novel reliability redundancy allocation problem formulation for complex systems

2023-11-01

11

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AI

DOI：10.1016/j.ress.2023.109471

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Reliability Redundancy Allocation Problem (RRAP) aims to optimize system design with respect to certain resource constraints. For the most of RRAP studies, it is commonly assumed that the subsystems form a series-parallel or bridge structure, while the redundant components in the same subsystem are placed in parallel. To generalize system structures, this paper proposes a novel RRAP for complex systems. The complex system structure is modeled with a graph, where the vertices and edges represent the components and connections between them, respectively. To calculate the system reliability from its structure graph, an automated calculation method based on functionality multi-graph is put forward. The components are classified into various clusters based on the system functionalities they provide, then a multi-graph is constructed by fusing the vertices in the same cluster into a hyper-vertex. Spanning trees are derived from functionality multi-graph, and a validity test is performed to identify valid system configurations. On this basis, a factoring theorem-based algorithm is devised to calculate system reliability. Comparative experiments are carried out on six benchmark problems, the results of which compare favorably to previous RRAP studies. A case study of security system design is also conducted to demonstrate the practicality of our proposed method.

Keyword:

Reliability optimization

Redundancy-reliability allocation problem

Multi-graph

Factoring theorem

A novel reliability redundancy allocation problem formulation for complex systems

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