Sustainable Manufacturing Model with Considering Greenhouse Gas Emission and Screening Process of Imperfect Items Under Stochastic Environment

In this work, a production model with screening of imperfect product and green house gas emission has been developed. Here, it has been considered that the manufacturing process transfer from in-control situation to out-of-control situation after an uncertain time, which is a random variable. In the out-of-control situation, a part of produced items are imperfect. For this reason, the manufacturer decides to check each item through screening process before sale the perfect items to the market. The screening and production rates are not equal and new type of screening process has been considered here. The imperfect rate depends on the length of out-of-control situation and its random nature. Also, the manufacturer sales the imperfect items by reducing the selling price. The greenhouse gas (GHG) emission tax has been considered here and its rate depends on the production rate. The objective of this study is to find the optimal business and production period, optimal production rate which maximizes the expected average profit of the model. Two numerical examples have been considered to illustrate the feasibility of the model. Finally, the sensitivity analysis have been carried out to get the effect of some important parameters on the optimization problem related to the proposed model. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.