Impact of inflation on sustainable inventory model with stock dependent demand with carbon emission

In the wake of environmental concerns and the growing recognition of climate change's impacts, the integration of sustainability principles into inventory management practices has become imperative. This study proposes a novel sustainable inventory model tailored for green warehouse farms, aiming to minimize carbon emissions while effectively managing inventory amidst inflationary pressures and stock-dependent demand fluctuations. The model incorporates controllable carbon emissions as a key performance indicator, aligning with the sustainability objectives of green warehouse farms. Recognizing the dual objectives of minimizing emissions and meeting customer demand, the model optimizes inventory levels while considering the carbon footprint associated with various inventory management decisions. In this study non-instantaneous deterioration to show the lifetime of product freshness when presence of a constant backorder. The objective of this model is to minimise total cost. The proposed model is validated through a numerical example. Conducting sensitivity analysis allows us to investigate the impact of different parameters on the optimal solution.