Profit-risk optimization task for a hybrid warehouse configuration

Object of study: hybrid warehouse architecture for e-commerce, integrating a physical warehouse and a virtual dropshipping channel. Methods: comparative analysis based on financial, operational, and risk-oriented indicators, supported by a mathematical framework incorporating supplier reliability. Results: the study reveals fundamental trade-offs between liquidity, risk, delivery speed, and costs. The hybrid model releases up to 40% of working capital but reduces profit by 25.3% at a supplier reliability of β = 0.95. Risk adjustment decreases expected profit by 11.25% compared to the nominal calculation. Conclusions: a verbal optimization problem is formulated to maximize profit under risk and delivery time constraints, providing a structured approach for managing hybrid systems instead of intuitive selection.