In this paper, a multi-objective mathematical model is proposed for the design of a closed-loop supply chain (CLSC). A mixed-integer linear programming model is developed with environmental concerns. The proposed multi-objective optimization model captures the trade-off between the total cost, total revenue, and the environment impact. The obtained model helps in assessing the trade-off among different objectives and guides the decision makers to choose the preferred plan among the Pareto optimal solutions. The results show that our multi-objective model can be applied as an effective tool in design of closed supply chain. Meanwhile, a valuable sensitivity analysis is conducted to show the impact of variations of demand, return volume, and disposal rate on the network configuration and model performances.
A Multi-Objective Mathematical Model for Closed Loop Supply Chain Design
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