A sustainable production model for waste management with uncertain scrap and recycled material

The studies highlightthat only one billion tons were obtained out of four billion tons of solid waste in the world and small value recovered out of it. In such a way, indeed, there is still a wide scope in collecting and converting the waste into value. In the industrial set-up because for various reasons, the production process is not optimum towards the conversion of resources into value. Hence, some defective items are also produced during production, which is a kind of waste for a firm. The firm manages such wastes by selling them into the secondary market at lower prices. To deal with the waste, firm also collects the used products from the customer under the circular economy concept. Later, these used collected products were recycled and used raw material for further production. The way to collect the used product from the market and to use them again as raw material is a remarkable effort to reduce waste. The objective of the research is to optimize the unit time profit and the expected resultant costs by considering the concept of recycling waste in the fuzzy environment for the imperfect production process. The sustainable production model is developed with the system cost with the fuzzy approach and validated the model with an illustration. The unit time profit has been maximized with the help of an analytical approach. A sensitivity analysis is also performed to check the stability of the model and the model is found to be quite stable. The evaluation of the fuzzy system cost may provide the decision maker’s information regarding the system’s behavior uncertainties.