A stochastic constrained optimization on multi-echelon renovated supply chain with sustainable production and transportation

Environmental change and house gas emissions have made nations implement different carbon administrative mechanisms in some industrial sectors far and wide to control carbon discharges. We present a mathematical model with sustainable transport and production for this concern. One viable strategy is utilizing a closed-loop supply chain (CLSC) to reduce the environmental hazards driven by industries. We consider a CLSC with a manufacturer, a renovator, and a multi-buyer that concerns the structure and arranges an ideal system. We have considered service level constraints, floor and budget constraints, and stochastic stockpile constraints for getting a minimal expenditure to this sustainable supply chain. We have facilitated a numerical example and sensitivity analysis to justify the proposed model.