ECONOMIC AND MATHEMATICAL MODELS OF LOGISTICS CONTINUITY UNDER CONDITIONS OF INSTABILITY

Abstract

The increasing instability of economic environments has significantly intensified the vulnerability of logistics systems and highlighted the importance of ensuring logistics continuity under constrained conditions. This article aims to substantiate the role of economic and mathematical modeling as a theoretical tool for analyzing logistics continuity in situations characterized by uncertainty, limited resources, and infrastructural constraints. The study focuses on the conceptualization of logistics continuity not as an optimal outcome, but as a feasible system state determined by economic and capacity limitations. The research applies a theoretical economic and mathematical approach to represent logistics systems as constrained flow networks, where continuity is ensured through minimum flow requirements and feasibility conditions. The proposed framework formalizes the relationships between logistics costs, system capacities, and continuity thresholds, allowing for the identification of feasible operating regions under conditions of instability. The results demonstrate that maintaining logistics continuity may require accepting higher logistics costs; however, such costs are economically justified due to the prevention of systemic disruptions and long-term economic losses. The findings emphasize that economic and mathematical modelling supports continuity-oriented logistics decision-making by enabling the prioritization of critical flows and rational allocation of limited resources. The study contributes to the development of theoretical foundations for logistics management under instability and provides a basis for further research on adaptive and resilient logistics systems.