A Sustainable Supply Chain Model on the Impact of Carbon Emission with Pre-Payment Based Partial Free Transportation

Objectives: To analyze and justify the importance of Green technology investment for both production and distribution processes in the supply chain along with a Pre-Payment Based Partial Free Transportation strategy. Methods: A non-linear sustainable supply chain model considering a single manufacturer and multi-retailer is formulated with an incorporation of green technology investment for both production and transportation processes along with partial pre-payment based free transportation. Lagrangian method is used to obtain the optimal solution of the problem. Findings: The proposed model has been solved with the prescribed method and it gives the average profit of the manufacturing firm with green technology investment is $15537.360 and the average profit of the manufacturing firm without green technology investment is $9864.8816. This shows that the model with green technology performs better than the other one. Novelty: Green technology investment has been incorporated for both production and transportation processes, along with partially pre-paid, free transportation, whereas earlier research focused only on green investment for production. 2020 Mathematics Subject Classification: 90B05, 90B06. Keywords: Green technology, Carbon emission, Carbon cap, Carbon tax, Prepayment transportation