Supply Chain Resilience as Admissible Network Stability

Supply chains form complex networks linking production, logistics, and distribution across institutions and geographic regions. Traditional analyses of supply chain resilience focus on redundancy, inventory buffering, and adaptive logistics strategies. This paper interprets supply chain resilience through the admissibility framework of the Paton System. Within this interpretation, supply networks remain operational only while flows of goods, information, and coordination remain within admissible structural limits defined by resource availability, transport capacity, institutional coordination, and temporal constraints. Disruptions occur when these flows exceed the admissible tolerance of the network, producing bottlenecks, cascading delays, or systemic failure. Resilience therefore represents the ability of supply networks to maintain or restore admissible flow conditions under disturbance.