Semigroup-theoretic analysis of supply-chain disruptions and resilience
Job Agba Opue, Marshal I. Sampson, Otobong J. Tom, Uchechukwu E. Okorie, Fucai Lin, Fucai Lin, Fucai Lin · 2026
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Description
Job Agba Opue and co-authors, including Fucai Lin, apply abstract algebra to supply-chain resilience in a 2026 theory paper. Supply chains are systems where a disruption can cascade through suppliers, transport corridors, and synchronized demand. Most current models simulate or optimize; this one asks what the mathematics of irreversible change can reveal about collapse and rebound.
The framework represents each disruption or intervention as a transformation acting on a finite set of states. The set of those transformations forms a semigroup, an algebraic structure built for processes that cannot be undone. Within the structure the authors derive rules for synchronizing collapse, for stable states, and for spotting backups, together with algorithms that prune spare backup options. Cases span manufacturing, agriculture, and e-commerce logistics. The payoff is clarity: semigroup properties translate into measurable resilience indicators, giving managers tools for judging shock-containment strategies before a crisis forces it.
Catalog record
| CREATOR | Job Agba Opue, Marshal I. Sampson, Otobong J. Tom, Uchechukwu E. Okorie, Fucai Lin, Fucai Lin, Fucai Lin |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 76 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |