Two-Warehouse Green Inventory Cloudy Fuzzy Model for Deteriorating Items with Two-Level Trade Credit and Shortages

In the present era, the most delicate environmental issue is global warming, and because of this, countries across the globe are trying to manage the most hazardous emissions by making certain investments in projects to promote green industrial practices. In the current study, the inventory models are developed by including the emission of CO₂ from transportation which is controlled by the optimum investments in green technology (GT). Here, sustainable deteriorating inventory models in both crisp and cloudy fuzzy (CF) environments with a two-level trade credit scheme are proposed to boost the demand, where a delay in payment opportunity is there for suppliers and retailers. In this credit scenario, delay in payment options is given from the supplier to the retailer, and also from the retailer to the customer. In the present research, two warehouses are considered to manage the stock-out situation. For the model problems, demand is considered to be time dependent, where a multiple prepayment option for the purchasing cost involving an installment is provided to the retailers. Here the solution processes for the proposed models suggest algorithms, and then a numerical approach is followed to test the optimality criteria. The said optimum results are also presented in graphs. Again, a comparative study of the obtained results concerning the models is also highlighted. Lastly, a sensitivity analysis is performed to study the influence of variations in input parameters, which allows drawing some managerial insights.