A Novel Technique to Detect an Optimal Two Layer Supply Chain Model for Imperfect Items Under Various Neutrosophic Environment

The paper has devised a two-echelon supply chain model that involves a single vendor and a single buyer dealing with defective items. It is observed that customers at supermarkets tend to purchase items based on availability and optimal pricing. Since the production process is not perfect thus the defective items are produced in unpredictable amount. Thus this paper is associated with price and stock-dependent demand with uncertainty in defective items. After each production batch, the defective items are appropriately separated and sent for reworking. The flawlessly crafted objects are subsequently shipped in accordance with the buyer's request. It has been used to depict neutrosophic numbers because of the unpredictable generation of damaged products. Under these circumstances our aim is to optimize the total cost considering the vendor's cycle time as a decision variable. A real-life numerical example is provided to illustrate our proposed model. By conducting the sensitivity analysis to assess the impact of parameters on the optimal solution. Based on data from ABC, found that the entire production cost was reduced by $53.98 when fuzzy rather than crisp was used. In the end the linkage is set up between the proposed model and the real world, offering managerial insights.