A resilient supply chain model integrating demand variability and carbon emissions in imperfect production systems

To analyze and justify the importance of energy efficient docking systems in supply chain with varying demand along with carbon emission from warehouse electricity and fuel used in generators. A non-linear sustainable supply chain model considering a varying demand is formulated with a incorporation of a energy efficient docking systems. Due to real life unpredictable situation, Single valued trapezoidal Neutrosophic fuzzy parameters are considered in this model. Also, carbon emissions play a significant role in global warming, this paper includes the cost of carbon emissions from both warehouse electricity consumption and fuel used in generators. Lagrangian method is used to obtain the optimal solution of the problem. The proposed model has been solved with the prescribed method and it gives the average profit of the manufacturing firm with energy efficient docking systems is $1267235 and the average profit of the manufacturing firm without energy efficient docking systems is $1248710. This shows that the model with energy efficient docking systems performs better than the other one. Additionally, Single-Valued Trapezoidal Neutrosophic Numbers offer greater flexibility in capturing and representing uncertain information compared to Triangular Fuzzy Numbers, as they can model not only fuzzy uncertainty but also indeterminacy and falsity, providing a more comprehensive framework for handling complex and ambiguous data. The efficiency of energy efficient docking systems with varying demand and carbon emissions under single valued trapezoidal Neutrosophic fuzzy parameters is not yet investigated in literature.