Sustainable Integrated-Inventory Model Under Two-Storage Facility with Fuzzy Demand

Two distinct inventory models for decaying products are presented in this research for a two-warehouse storage facility. The demand in the first model is crisp, whereas the demand in the second model is imprecise. The cost of transportation from one warehouse to another is taken into account. The current model depicts the production and distribution of products by a wholesale supplier with its own warehouse for producing, stocking, packaging, and supplying products to its warehouse rented in a busy market place in a metro city where the cost of building a warehouse is prohibitively expensive when compared to renting a space to supply products to retailers. Most studies have ignored transportation costs when carrying items between warehouse storage systems, as well as the impact of carbon emissions from vehicles and products, which is becoming a more important topic of research, particularly in metropolitan areas. Under crisp parameters and fuzzy demand, this study focuses on being ecologically sustainable so that the overall average inventory cost of the supply chain is as low as possible. During storage, constant deterioration occurs. The aim of the current work is to obtain a lot-size of supplied items from their own warehouse to another one so that carbon emissions and inventory costs are at a minimum. To defuzzify the fuzzy numbers, the Signed Distance Method is used. Numerical examples are used to validate the model.