Two-Level Supply Chain Inventory Model for Perishable Goods with Fuzzy Lead-Time and Shortages

This study deals with a supplier-retailer supply chain system for perishable goods under fuzzy lead-time and fully backlogged shortages. In this proposed model, a supplier collects the deteriorating goods and fulfills the retailer's demand. Also, two different cases are considered. In the first case, retailer's fully backlogged shortages are incorporated whereas in the second case, retailer's shortages are not allowed. Lead-time of the system is considered as fuzzy in nature. In the first case, the integrated average profit of the supply chain system is obtained in fuzzy nature and the centroid method is used for defuzzification. The aim of this study is to maximize the integrated average profit by optimizing retailer's reorder level and business period. Three numerical examples are considered and solved for justification of the proposed model. Finally, the sensitivity analyses are performed with respect to the values of different system parameters. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.