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Local topological features of robust supply networks
Alexey Lyutov1, Yilmaz Uygun1, Marc-Thorsten Hütt2
1Department of Mathematics and Logistics, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany.
Applied Network Science
|May 26, 2022
Summary
Robust supply networks are built from specific subgraphs, unlike vulnerable ones. Network motifs, small subgraph patterns, are key indicators of network robustness and can guide improvements in real-world systems.
Area of Science:
- Network science
- Logistics
- Operations research
Background:
- Designing robust supply and distribution systems presents significant challenges due to numerous performance criteria, constraints, and external influences.
- A minimal model abstraction is necessary to investigate generic properties of supply networks.
Purpose of the Study:
- To investigate the generic properties of robust supply networks by developing a minimal model.
- To understand the relationship between network structure, specifically subgraph composition, and system robustness.
Main Methods:
- Developed a minimal abstraction model for supply and distribution systems.
- Analyzed network structure by examining subgraph composition under conditions of transportation route loss.
- Investigated the role of network motifs in system robustness.
Main Results:
- Robust supply networks exhibit distinct subgraph compositions compared to vulnerable networks.
- Network motifs, statistically over-represented small subgraphs, are confirmed to be informative about network robustness.
- Vulnerable networks show a markedly different subgraph composition than robust ones.
Conclusions:
- Network motifs play a crucial role in the robust functioning of supply and distribution systems.
- The findings provide a blueprint for enhancing the robustness of real-world supply chain networks.
- Understanding subgraph composition is essential for designing resilient logistics systems.
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