Intuitionistic Fuzzy Deteriorating Inventory Models With Controllable Carbon Emissions and Shortages

Abstract

Nowadays, global warming, which has its effect on climate change, has turned out to be a delicate topic, and several countries are making an effort to regulate emissions through certain investments in green technology (GT). Mostly, the issue with the emissions is the outcome of inventory management. In view of this, a fuzzy inventory model with time dependent power demand and controllable carbon emissions is formulated. This includes green technology investment involving two warehouses to reduce emissions from during the shipping of goods from the own warehouse to the rented warehouse and finally to the consumers. Further, constant and Weibull deterioration rates are taken for the goods in rented and own warehouse respectively. Finally, the optimum values of the total average cost, cycle length, and GT are obtained. A numerical example is provided to illustrate the models, and the behaviour of the total cost function is shown graphically.