A Green Supply Chain Network Design Model And Application Under Uncertainty

The traditional supply chain network design model focuses on minimizing the fixed cost and operation cost without considering the carbon emission.However,global warming has changed the operation of the traditional supply chain network to a large extent.How to balance the total cost of supply chain network and carbon emissions has become a major problem for enterprises to improve their sustainable competitiveness.In addition,when the traditional supply chain network design is extended to the green supply chain network design,the uncertain factors increase,which will inevitably increase the difficulty of modeling.Based on the uncertainty of traditional supply chain network design parameters,we further consider the uncertainty of carbon price in the carbon trading market.For the multi-product and multi-period green supply chain network design model composed of suppliers,factories,warehouses and customers,scenario tree and interval analysis methods are used to describe the uncertainty of parameters.Then we establish the green supply chain network design model based on p-robust and the green supply chain network design model based on the criterion of minimum-maximum under various uncertain conditions.The specific research content of this paper is as follows:(1)Research on the green supply chain network design model and strategy,which based on p-robust under uncertainty.A scenario tree method is applied to model the uncertainty,and a green supply chain network design model is developed under the p-robustness criterion.Furthermore,the solution method for determining the lower and upper bounds of the relative regret limit is introduced,which is convenient for decision-makers to choose the corresponding supply chain network structure through the tradeoff between risk and cost performance.In particular,to overcome the large scale of the model caused by a high number of uncertain scenarios and reduce the computational difficulty,a scenario reduction technique is applied to filter the scenarios.Numerical calculations are executed to analyze the influence of relevant parameters on the performance of the designed green supply chain network.The results show that the proposed p-robust green supply chain network design model can effectively deal with carbon and demand uncertainties while ensuring cost performance,and can offer more choices for decision-makers with different risk preferences.(2)Research on the green supply chain network design model and strategy,which based on the minimum-maximum criterion under uncertainty.In view of the uncertainty of carbon price,demand and cost in green supply chain network design,the interval analysis method is used to describe the uncertainty of parameters,and a robust optimization model of green supply chain network design is proposed.Firstly,the deterministic mixed integer linear programming model of green supply chain network is established.Then,using the latest theory of robust optimization,the robust corresponding model of mixed integer linear programming model is given.By constantly adjusting the uncertainty level of parameters,the best network design scheme under different conditions is obtained,which can reduce carbon emissions extensively and provide theoretical basis for decision makers.The uncertainties in green supply chain network design are studied.From two perspectives,the green supply chain network design model based on p-robust and the green supply chain network design model based on the minimum-maximum criteria under uncertainty.The proposed models can be solved effectively for the two cases of known and unknown parameter probability distributions.Finally,the effectiveness of the proposed models is verified by a case study.This research provides a good reference for the design and optimization of green supply chain in uncertain environment.