Managing Perishables Sustainably: An Optimization Framework for Emission Sensitivities in a Price-Time-Circularity Responsive Production-Inventory System
摘要
Aligning industrial practices with sustainability and circular economy goals, a sustainable production-inventory model for perishable items under a circular economy framework is developed, featuring a trapezoidal demand function influenced by selling price, time, and a circularity index, capturing consumer responsiveness to sustainability. The trapezoidal form reflects realistic lifecycle demand phases — ramp-up, maturity, and decline — commonly observed in perishable product cycles. Inventory dynamics are modeled over three life-cycle phases, accounting for time-phased deterioration, discounting, and carbon emission costs across production, holding, deterioration, and transportation. A nonlinear optimization framework determines the profit-maximizing selling price, production rate, and circularity level. Numerical simulations and sensitivity analysis demonstrate the model’s robustness. It is found that a reduction in the circularity sensitivity exponent produces an amplified enhancement impact on profit (a 20% reduction in the circularity sensitivity exponent increases profit by 44.6%). Interpreting the numerical behavior uncovers robustness to environmental regulation changes and production cycles, while strategic planning of market segmentation based on consumer circularity responsiveness is suggested. The proposed model offers a comprehensive tool for sustainable decision-making in emission-sensitive, circular-aware inventory systems.