Fuzzy inventory model for breakable items, including damage costs and inspection errors in a green environment

Abstract Conventional Economic Order Quantity (EOQ) models operate on the implicit assumption that all received products are flawless. Current EOQ models for items of defectiveness implicitly suggest that suppliers do not conduct a comprehensive assessment, even though they loosen this presumption and are more applicable to scenarios in reality. This paper presents a significant EOQ model. This model accounts for the possibility of mistakes occurring while inspection of the product. Because things are piled high in stock, breaking of products takes place. These goods are stored and sold at once, with damage costs included. Furthermore, governments have made limiting carbon emissions their top priority. In an effort to improve the environment, the tax rates in the price of carbon emissions have been included. This model is distinct because it closes the research gap by taking into account breakable items under inspection errors with damage cost, and carbon emission cost. The ideal order quantity that optimizes the total profit is determined. It is important to note that this model is constructed in a fuzzy manner by using a triangular fuzzy number to represent the cost of accepting a broken object. Applications of this idea include shipping commodities. A numerical illustration of the ideal solution is given and the sensitivity studies based on analytical results are provided. The current study addresses how changes in a few parameters influence the ideal overall cost. Findings reveal that altering the products screening cost does not greatly affect the total profit. So retailers should increase the inspection cost so that they can give good products to their customers. Additionally, managerial implications are also provided.