Sustainability of inventory models along with carbon emission for deteriorating goods

Abstract

Abstract In this paper, we have been studied the carbon emission using the inventory model in the form of differential equation. Global warming is exacerbated by carbon emissions. Manufacturing companies are major emitters of CO2. The production inventory model is presented in this study when there is a carbon emission in the environment. Carbon emission is the result of manufacturing and disposal process which is further increased due to deterioration. It is inevitable in every production and manufacturing firms are significantly contributing to carbon emissions. With the increase in strict norms from the government and also through various NGO’s, the firms are now made to follow green technology. In this work an inventory model is developed considering an investment that is done on controlling carbon emission. Demand is a variant of the selling price of the product. The model aims at maximizing the profit accrued along with minimizing the carbon emission cost.